PHYS08200604018 Shamik Banerjee - Homi Bhabha National ...

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102 BIBLIOGRAPHY [48] S. Banerjee and A. Sen, “S-duality Action on Discrete T-duality Invariants,” arXiv:0801.0149 [hep-th]. [49] F. Denef, “Supergravity flows and D-brane stability,” JHEP 0008, 050 (2000) [arXiv:hepth/0005049]. [50] F. Denef, “On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications”, arXiv:hep-th/0010222. [51] F. Denef, B. R. Greene and M. Raugas, “Split attractor flows and the spectrum of BPS D-branes on the quintic,” JHEP 0105, 012 (2001) [arXiv:hep-th/0101135]. [52] F. Denef, “Quantum quivers and Hall/hole halos,” JHEP 0210, 023 (2002) [arXiv:hepth/0206072]. [53] B. Bates and F. Denef, “Exact solutions for supersymmetric stationary black hole composites,” arXiv:hep-th/0304094. [54] F. Denef and G. W. Moore, “Split states, entropy enigmas, holes and halos,” arXiv:hepth/0702146. [55] S. Chaudhuri, G. Hockney and J. D. Lykken, “Maximally supersymmetric string theories in D ¡ 10,” Phys. Rev. Lett. 75, 2264 (1995) [arXiv:hep-th/9505054]. [56] S. Chaudhuri and J. Polchinski, “Moduli space of CHL strings,” Phys. Rev. D 52, 7168 (1995) [arXiv:hep-th/9506048]. [57] M. Stern and P. Yi, “Counting Yang-Mills dyons with index theorems,” Phys. Rev. D 62, 125006 (2000) [arXiv:hep-th/0005275]. [58] E. J. Weinberg and P. Yi, “Magnetic monopole dynamics, supersymmetry, and duality,” Phys. Rept. 438, 65 (2007) [arXiv:hep-th/0609055]. [59] A. Dabholkar, K. Narayan and S. Nampuri, “Degeneracy of Decadent Dyons,” arXiv:0802.0761[hep-th]. [60] A. Mukherjee, S. Mukhi and R. Nigam, “Kinematical Analogy for Marginal Dyon Decay,” arXiv:0710.4533 [hep-th]. [61] J. A. Harvey and G. W. Moore, “Fivebrane instantons and R**2 couplings in N = 4 string theory,” Phys. Rev. D 57, 2323 (1998) [arXiv:hep-th/9610237]. [62] A. Gregori, E. Kiritsis, C. Kounnas, N. A. Obers, P. M. Petropoulos and B. Pioline, “R**2 corrections and non-perturbative dualities of N = 4 string ground states,” Nucl. Phys. B 510, 423 (1998) [arXiv:hep-th/9708062].
BIBLIOGRAPHY 103 [63] S. Banerjee and A. Sen, “Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T 6 ”, arXiv:0712.0043 [hep-th]. [64] A. Sen, “Black holes, elementary strings and holomorphic anomaly,” arXiv:hepth/0502126. [65] A. Dabholkar, F. Denef, G. W. Moore and B. Pioline, “Exact and asymptotic degeneracies of small black holes,” arXiv:hep-th/0502157. [66] A. Sen, “Black holes and the spectrum of half-BPS states in N = 4 supersymmetric string theory,” Adv. Theor. Math. Phys. 9, 527 (2005) [arXiv:hep-th/0504005]. [67] A. Dabholkar, F. Denef, G. W. Moore and B. Pioline, “Precision counting of small black holes,” JHEP 0510, 096 (2005) [arXiv:hep-th/0507014]. [68] A. Sen, “Three String Junction and N=4 Dyon Spectrum,” arXiv:0708.3715 [hep-th]. [69] S. Chaudhuri and D. A. Lowe, “Type IIA heterotic duals with maximal supersymmetry,” Nucl. Phys. B 459, 113 (1996) [arXiv:hep-th/9508144]. [70] P. S. Aspinwall, “Some relationships between dualities in string theory,” Nucl. Phys. Proc. Suppl. 46, 30 (1996) [arXiv:hep-th/9508154]. [71] S. Banerjee, A. Sen and Y. K. Srivastava, “Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two,” arXiv:0802.0544 [hep-th]. [72] S. Banerjee, A. Sen and Y. K. Srivastava, ”Partition Functions of Torsion > 1 Dyons in Heterotic String Theory on T 6 ” arxiv:0802.1556 [73] E. Diaconescu and G. W. Moore, “Crossing the Wall: Branes vs. Bundles,” arXiv:0706.3193 [hep-th]. [74] M. Kontsevich, talk given at the XXXVIIth Paris Summer Institute “Black Holes, Black Rings and Modular Forms”, August 13 to 24, 2007. [75] A. Dabholkar, K. Narayan and S. Nampuri, “Degeneracy of Decadent Dyons,” arXiv:0802.0761[hep-th]. [76] K. Narayan, “On the internal structure of dyons in N = 4 super Yang-Mills theories,” arXiv:0712.3625 [hep-th]. [77] K. M. Lee and P. Yi, “Dyons in N = 4 supersymmetric theories and three-pronged strings,” Phys. Rev. D 58, 066005 (1998) [arXiv:hep-th/9804174]. [78] D. Bak, K. M. Lee and P. Yi, “Quantum 1/4 BPS dyons,” Phys. Rev. D 61, 045003 (2000) [arXiv:hep-th/9907090].
Page 1:
Counting Microscopic Degeneracy of
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Declaration This thesis is a presen
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Acknowledgments Firstly I would lik
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Synopsis Black Holes are classical
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proposed formula reproduces the kno
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Contents 1 Introduction 1 1.1 Broad
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Chapter 1 Introduction Einstein pro
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1.2. D BRANES 3 specific class of s
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1.3. BRIEF INTRODUCTION TO E 8 × E
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1.4. DEGENERACY OF QUARTER-BPS DYON
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1.5. MOTIVATION AND A BRIEF REVIEW
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Chapter 2 Duality orbits, dyon spec
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2.2. T-DUALITY ORBITS OF DYON CHARG
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2.3. AN ALTERNATIVE PROOF 19 Q and
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2.4. PREDICTIONS FOR GAUGE THEORY 2
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2.4. PREDICTIONS FOR GAUGE THEORY 2
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Chapter 3 S-duality Action on Discr
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This proves the desired result. Nex
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For appropriate choice of (α, β,
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Chapter 4 Generalities of Quarter B
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may not be convergent in another re
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35 where Λ is a large positive num
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equiring that we reproduce the blac
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4.1. THE DYON PARTITION FUNCTION 39
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4.2. CONSEQUENCES OF S-DUALITY SYMM
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4.3. CONSTRAINTS FROM WALL CROSSING
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Page 73 and 74: 4.5. EXAMPLES 51 Here k is the same
Page 75 and 76: 4.5. EXAMPLES 53 Next we turn to th
Page 77 and 78: 4.5. EXAMPLES 55 Let us determine t
Page 79 and 80: 4.5. EXAMPLES 57 We shall now set a
Page 81 and 82: 4.5. EXAMPLES 59 uncorrelated and c
Page 83 and 84: 4.5. EXAMPLES 61 is an integer. Sin
Page 85 and 86: 4.5. EXAMPLES 63 1 ((Q−P 2 )/2)2
Page 87 and 88: 4.5. EXAMPLES 65 Finally we turn to
Page 89 and 90: 4.5. EXAMPLES 67 IIB description of
Page 91 and 92: 4.5. EXAMPLES 69 Note that Q and P
Page 93 and 94: 4.5. EXAMPLES 71 On the other hand
Page 95 and 96: 4.6. A PROPOSAL FOR THE PARTITION F
Page 103 and 104: 4.7. REVERSE APPLICATIONS 81 Thus i
Page 105 and 106: 4.7. REVERSE APPLICATIONS 83 For th
Page 107 and 108: Chapter 5 Partition Functions of To
Page 109 and 110: crossing formula for decay into a p
Page 111 and 112: 89 As a consequence of (5.0.19) and
Page 113 and 114: 91 In the primed variables the desi
Page 115 and 116: Furthermore, in order to reproduce
Page 117 and 118: The spectrum in gauge theory contai
Page 119 and 120: Chapter 6 Concluding Remarks Comple
Page 121 and 122: Bibliography [1] J.Polchinski ”Di
Page 123: BIBLIOGRAPHY 101 [30] M. Stern and
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