Gravity and Strings

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484 From eleven to four dimensions certainly not asymptotically the KK vacuum. There seems to be no clear reason to expect these two backgrounds, which are related by Buscher’s rules, to be equivalent for strings in the standard sense of interchange of KK and winding modes. Nevertheless, the two backgrounds are related by Buscher’s rules and there seems to be no reason why supersymmetry should disappear [32]. It has been suggested that supersymmetry is still present but realized non-locally [504]. For the moment, there is no definite physical explanation for this phenomenon.
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Gravity and Strings One appealing f
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Gravity and Strings TOMÁS ORTÍN S
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To Marimar, Diego, and Tomás, the
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x Contents 3.1.1 Scalar gravity cou
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xii Contents 8.7.4 Dyons and the DS
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xiv Contents 14.3.2 Open bosonic st
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xvi Contents Appendix A Lie groups,
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Preface String theory has lived for
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Part I Introduction to gravity and
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4 Differential geometry function 1
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6 Differential geometry and on weig
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8 Differential geometry We can also
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10 Differential geometry where ρ
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12 Differential geometry a metric-c
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14 Differential geometry scalar R,
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16 Differential geometry Local GL(d
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18 Differential geometry In the sec
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20 Differential geometry where ω(e
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22 Differential geometry We define
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24 Differential geometry Since ⋆d
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2 Noether’s theorems In the next
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28 Noether’s theorems where x ′
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30 Noether’s theorems First, obse
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32 Noether’s theorems Sometimes i
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34 Noether’s theorems According t
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36 Noether’s theorems which is th
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38 Noether’s theorems Furthermore
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40 Noether’s theorems The Rosenfe
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42 Noether’s theorems is invarian
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44 Noether’s theorems In this way
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46 A perturbative introduction to g
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100 A perturbative introduction to
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4 Action principles for gravity A m
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116 Action principles for gravity w
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120 Action principles for gravity T
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122 Action principles for gravity a
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124 Action principles for gravity F
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126 Action principles for gravity s
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128 Action principles for gravity t
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130 Action principles for gravity a
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132 Action principles for gravity i
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134 Action principles for gravity f
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138 Action principles for gravity W
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142 Action principles for gravity t
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144 Action principles for gravity W
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5 N = 1, 2, d = 4 supergravities In
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152 N = 1, 2, d = 4 supergravities
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172 Conserved charges in general re
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Part II Gravitating point-particles
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188 The Schwarzschild black hole Th
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190 The Schwarzschild black hole st
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192 The Schwarzschild black hole V
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194 The Schwarzschild black hole I
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196 The Schwarzschild black hole by
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198 The Schwarzschild black hole 14
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200 The Schwarzschild black hole an
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204 The Schwarzschild black hole T
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206 The Schwarzschild black hole C
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208 The Schwarzschild black hole As
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210 The Schwarzschild black hole ne
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214 The Reissner-Nordström black h
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268 The Taub-NUT solution The charg
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270 The Taub-NUT solution 4. This m
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272 The Taub-NUT solution This solu
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274 The Taub-NUT solution Four-dime
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276 The Taub-NUT solution become th
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278 The Taub-NUT solution All Ricci
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280 The Taub-NUT solution The elect
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10 Gravitational pp-waves As we saw
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284 Gravitational pp-waves The Heis
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286 Gravitational pp-waves The spec
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288 Gravitational pp-waves The equa
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11 The Kaluza-Klein black hole Kalu
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292 The Kaluza-Klein black hole Spa
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294 The Kaluza-Klein black hole Tab
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296 The Kaluza-Klein black hole The
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298 The Kaluza-Klein black hole whi
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300 The Kaluza-Klein black hole As
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304 The Kaluza-Klein black hole dim
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306 The Kaluza-Klein black hole We
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308 The Kaluza-Klein black hole Wha
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310 The Kaluza-Klein black hole and
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312 The Kaluza-Klein black hole the
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314 The Kaluza-Klein black hole KK
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316 The Kaluza-Klein black hole SUG
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318 The Kaluza-Klein black hole ˆd
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320 The Kaluza-Klein black hole whi
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326 The Kaluza-Klein black hole gen
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328 The Kaluza-Klein black hole Low
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332 The Kaluza-Klein black hole has
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334 The Kaluza-Klein black hole whe
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336 The Kaluza-Klein black hole ω1
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338 The Kaluza-Klein black hole com
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342 The Kaluza-Klein black hole whe
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344 The Kaluza-Klein black hole m
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346 The Kaluza-Klein black hole It
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348 The Kaluza-Klein black hole 11.
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350 Dilaton and dilaton/axion black
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370 Unbroken supersymmetry theories
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372 Unbroken supersymmetry conserve
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374 Unbroken supersymmetry infinite
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376 Unbroken supersymmetry ν1··
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378 Unbroken supersymmetry transfor
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380 Unbroken supersymmetry The Kill
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382 Unbroken supersymmetry and, usi
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384 Unbroken supersymmetry In this
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386 Unbroken supersymmetry The dual
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388 Unbroken supersymmetry To calcu
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390 Unbroken supersymmetry The supe
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392 Unbroken supersymmetry transfor
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394 Unbroken supersymmetry AdS 2 ¥
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396 Unbroken supersymmetry precisel
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398 Unbroken supersymmetry and prov
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400 Unbroken supersymmetry Observe
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Part III Gravitating extended objec
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406 String theory String Theory Sol
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408 String theory modes behave unde
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410 String theory γij. The so-call
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412 String theory This term does no
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414 String theory where ˜Diɛ = (
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416 String theory Table 14.1. A bra
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418 String theory multiplets charac
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420 String theory Observe that the
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422 String theory Table 14.2. In th
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424 String theory 14.2.3 D-Branes a
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426 String theory 14.3 Compactifica
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428 String theory This description
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15 The string effective action and
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448 From eleven to four dimensions
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Page 1010: 17 The type-IIB superstring and typ
Page 1014: 17.1 N = 2B, d = 10 supergravity in
Page 1018: 17.2 Type-IIB S duality 489 SU(1,1)
Page 1022: 17.3 Dimensional reduction of N = 2
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Page 1030: RR fields: 17.4 Dimensional reducti
Page 1034: 17.5 Consistent truncations and het
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Page 1042: general families of solutions. 18.1
Page 1046: 18.1 Generalities 503 Another, more
Page 1050: 18.1 Generalities 505 their equatio
Page 1054: 18.1 Generalities 507 The conservat
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multiple of 2π: (−1) (p+1) q B
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18.1 Generalities 511 string in d =
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18.2 General p-brane solutions 513
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19.1 String-theory extended objects
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19.3 The masses and charges of the
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19.3 The masses and charges of the
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19.4 Duality of string-theory solut
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KK9M (9,1,1) KK7M (7,1,3) M5-3 (6,3
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19.4 Duality of string-theory solut
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19.6 Intersections 563 Maximally su
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19.6 Intersections 565 Table 19.4.
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19.6 Intersections 567 outside the
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19.6 Intersections 569 should exist
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19.6 Intersections 571 The coordina
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20 String black holes in four and f
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20.1 Composite dilaton black holes
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20.2 Black holes from branes 577 If
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20.2 Black holes from branes 579 si
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20.2 Black holes from branes 581 Th
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20.2 Black holes from branes 583 Th
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20.2 Black holes from branes 585 (y
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20.2 Black holes from branes 587 wh
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20.3 Entropy from microstate counti
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Appendix A Lie groups, symmetric sp
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Lie groups, symmetric spaces, and Y
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G/H isreductive if Lie groups, symm
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Appendix B Gamma matrices and spino
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Gamma matrices and spinors 613 wher
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Gamma matrices and spinors 615 or,
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Gamma matrices and spinors 617 Usin
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For instance, we can obtain Gamma m
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Gamma matrices and spinors 621 It i
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Gamma matrices and spinors 623 We w
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Gamma matrices and spinors 625 and,
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Gamma matrices and spinors 627 Thus
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Gamma matrices and spinors 629 Tabl
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Gamma matrices and spinors 631 Thes
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Gamma matrices and spinors 633 labe
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Appendix C 635 For some purposes, s
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Appendix C 637 C.2 Squashed S 3 and
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Appendix E Conformal rescalings If
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Connections and curvature component
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and the Ricci scalar is given by We
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Connections and curvature component
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The Ricci scalar is Connections and
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The harmonic operator on R 3 × S 1
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[35] E. Álvarez, L. Álvarez-Gaum
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[128] E. Bergshoeff, R. Kallosh, T.
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[222] L. Castellani, R. D’Auria,
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[316] S. Deser and B. Zumino, Phys.
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[411] D. V. Gal’tsov and O. V. Ke
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[506] S. F. Hassan, Nucl. Phys. B58
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References 663 [600] J. M. Izquierd
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[696] R. R. Metsaev and A. A. Tseyt
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[793] H. Quevedo, Fortschr. Phys. 3
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[889] G. ’t Hooft, Nucl. Phys. B6
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Index Page numbers in italic are th
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isotropic, 198, 216, 232, 234, 265,
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Noether method, 78 first-order form
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integrability equation in N = 2, d
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Newman-Penrose formalism, see Newma
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Dp, 538 compactified on T 6 , 577 c
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extended, 121, 150, 160-163, 379, 3
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Gravity and Strings

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