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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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2.2. T-DUALITY ORBITS OF DYON CHARG
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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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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
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- Page 103 and 104: 4.7. REVERSE APPLICATIONS 81 Thus i
- Page 105 and 106: 4.7. REVERSE APPLICATIONS 83 For th
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- Page 109 and 110: crossing formula for decay into a p
- Page 111 and 112: 89 As a consequence of (5.0.19) and
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- Page 115 and 116: Furthermore, in order to reproduce
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- Page 119: Chapter 6 Concluding Remarks Comple
- Page 123 and 124: BIBLIOGRAPHY 101 [30] M. Stern and
- Page 125 and 126: BIBLIOGRAPHY 103 [63] S. Banerjee a