Holograms of Strings - Department of Physics - University of Virginia

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For closed strings, conformal (scale) invariance S = − 1 [ 4πα ∫ws ′ dτdσ ∂ α X µ ∂ α X ν g µν (X ) + i∂ α X µ ∂ β X µ ɛ αβ B µν (X ) ] + α ′ Φ(X )R ws requires that the space-time metric satisfies Einstein equations R µν = B,Φ−sources, R µν = 0 in vacuum In general, conformal invariance implies the EOM <strong>of</strong> Einstein action (+more) [ ] √ L = 1 G N − det ge −2Φ R − 1 2 H µνρH µνρ + 4∂ µ Φ∂ µ Φ It’s the tail wagging the dog! the string cannot exist in other spacetimes than those compatible with general relativity.
Superstrings Supersymmetry relates particles with different spin-statistics: supermultiplet=(bosons, fermions) Infinitesimal transformation δf = ɛ∂b δb = ɛf ”δ 2 ”b = ”ɛ 2 ”∂b Superstrings live in 10 dimensions. At the massless level (or α ′ → 0) find ◮ open strings: superMaxwell multiplet (A µ and a spin 1/2 field, gaugino) ◮ closed strings: supergravity multiplet (g µν , a spin 3/2 field, gravitino, plus a bunch <strong>of</strong> other fields)
Page 1 and 2: Holograms of Strings Diana Vaman Ph
Page 3 and 4: Introduction to String Theory t x P
Page 5 and 6: Introduction to String Theory Strin
Page 7 and 8: Introduction to String Theory But,
Page 9: For a space-time filling D-brane S
Page 13 and 14: How to think of AdS 5 × S 5 ? S 5
Page 15 and 16: Holography Maldacena: The 4d maxima
Page 17 and 18: µ x h h µυ ρσ z=0 bulk gravito
Page 19 and 20: ◮ mesons? these are q¯q bound st
Page 21 and 22: In the lab, QGP is created in relat
Page 23 and 24: If the deconfined quarks and gluons
Page 25 and 26: Veltman’s circling rules can be t
Page 27 and 28: Jet quenching Jet: a colimated spra
Page 29 and 30: The question: how far does a locali
Page 31 and 32: The source q 0 q 0 q 3 q 0 q 3 L
Page 33 and 34: Hydrodynamics- long wavelength/long
Page 35 and 36: ◮ Compute the fluid’s response
Page 37 and 38: lim k 1 →0 k 2 →0 lim k 1 →0
Page 39 and 40: Start with the symmetries. Schrodin
Page 41: Thanks! I would like to thank my pa

Holograms of Strings - Department of Physics - University of Virginia

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