PHYS08200604018 Shamik Banerjee - Homi Bhabha National ...

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100 BIBLIOGRAPHY [13] J. R. David, D. P. Jatkar and A. Sen, “Product representation of dyon partition function in CHL models,” JHEP 0606, 064 (2006) [arXiv:hep-th/0602254]. [14] A. Dabholkar and S. Nampuri, “Spectrum of dyons and black holes in CHL orbifolds using Borcherds lift,” arXiv:hep-th/0603066. [15] J. R. David and A. Sen, “CHL dyons and statistical entropy function from D1-D5 system,” JHEP 0611, 072 (2006) [arXiv:hep-th/0605210]. [16] J. R. David, D. P. Jatkar and A. Sen, “Dyon spectrum in N = 4 supersymmetric type II string theories,” arXiv:hep-th/0607155. [17] J. R. David, D. P. Jatkar and A. Sen, “Dyon spectrum in generic N = 4 supersymmetric Z(N) orbifolds,” arXiv:hep-th/0609109. [18] A. Dabholkar and D. Gaiotto, “Spectrum of CHL dyons from genus-two partition function,” arXiv:hep-th/0612011. [19] A. Sen, “Walls of marginal stability and dyon spectrum in N = 4 supersymmetric string theories,” arXiv:hep-th/0702141. [20] A. Dabholkar, D. Gaiotto and S. Nampuri, “Comments on the spectrum of CHL dyons,” arXiv:hep-th/0702150. [21] N. <strong>Banerjee</strong>, D. P. Jatkar and A. Sen, “Adding charges to N = 4 dyons,” arXiv:0705.1433 [hep-th]. [22] A. Sen, “Two Centered Black Holes and N=4 Dyon Spectrum,” arXiv:0705.3874 [hep-th]. [23] M. C. N. Cheng and E. Verlinde, “Dying Dyons Don’t Count,” arXiv:0706.2363 [hep-th]. [24] A. Sen, “Black Hole Entropy Function, Attractors and Precision Counting of Microstates,” arXiv:0708.1270 [hep-th]. [25] N. Askitas, Embeddings of 2-spheres in 4-manifolds, Manuscripta Math. 89 35 (1996). [26] K. S. Narain, “New Heterotic String Theories In Uncompactified Dimensions < 10,” Phys. Lett. B 169, 41 (1986). [27] K. S. Narain, M. H. Sarmadi and E. Witten, “A Note on Toroidal Compactification of Heterotic String Theory,” Nucl. Phys. B 279, 369 (1987). [28] A. Sen, “Three String Junction and N=4 Dyon Spectrum,” arXiv:0708.3715 [hep-th]. [29] O. Bergman, “Three-pronged strings and 1/4 BPS states in N=4 super-Yang-Mills theory,” Nucl. Phys. B 525, 104 (1998) [arXiv:hep-th/9712211].
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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 71 and 72: 4.3. CONSTRAINTS FROM WALL CROSSING
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: Bibliography [1] J.Polchinski ”Di
Page 125 and 126: BIBLIOGRAPHY 103 [63] S. Banerjee a
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