DBI Analysis of Open String Bound States on Non-compact D-branes

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ContentsAcknowledgements 1Samenvatting 2I General Introduction 31 Introduction 41.1 <strong>String</strong> theory in a nutshell . . . . . . . . . . . . . . . . . . . . . . . . . . 41.2 A brief history <strong>of</strong> string theory . . . . . . . . . . . . . . . . . . . . . . . 61.3 Guideline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8II Theoretical Introduction 112 Bosonic <strong>String</strong>s 122.1 Action . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132.2 Symmetries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142.3 Equations <strong>of</strong> motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162.4 <strong>Bound</strong>ary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162.4.1 Closed strings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162.4.2 <strong>Open</strong> strings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.5 Solutions and expansions . . . . . . . . . . . . . . . . . . . . . . . . . . 172.5.1 Closed string expansion . . . . . . . . . . . . . . . . . . . . . . . 192.5.2 <strong>Open</strong> string expansion . . . . . . . . . . . . . . . . . . . . . . . . 202.6 Quantization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212.6.1 Covariant approach . . . . . . . . . . . . . . . . . . . . . . . . . 212.6.2 Energy-momentum tensor and Hamiltonian . . . . . . . . . . . . 232.6.3 Virasoro algebra and physical states . . . . . . . . . . . . . . . . 272.6.4 Light-cone gauge quantization and spectrum . . . . . . . . . . . 292.7 Oriented vs. unoriented strings . . . . . . . . . . . . . . . . . . . . . . . 362.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37i
Page 1: Master ThesisDBI <
Page 6 and 7: 3 Superstrings 383.1 Superstring ac
Page 9 and 10: AcknowledgementsI would hereby like
Page 11 and 12: Part IGeneral Introduction3
Page 13 and 14: CHAPTER 1. INTRODUCTION 5behaviour
Page 19 and 20: Part IITheoretical Introduction11
Page 21 and 22: CHAPTER 2. BOSONIC STRINGS 13D-dime
Page 23 and 24: CHAPTER 2. BOSONIC STRINGS 15with a
Page 25 and 26: CHAPTER 2. BOSONIC STRINGS 172.4.2
Page 29 and 30: CHAPTER 2. BOSONIC STRINGS 21We wil
Page 33 and 34: CHAPTER 2. BOSONIC STRINGS 25thatin
Page 35 and 36: CHAPTER 2. BOSONIC STRINGS 27we are
Page 37 and 38: CHAPTER 2. BOSONIC STRINGS 29Moving
Page 39 and 40: CHAPTER 2. BOSONIC STRINGS 31the ge
Page 41 and 42: CHAPTER 2. BOSONIC STRINGS 33If we
Page 43 and 44: CHAPTER 2. BOSONIC STRINGS 35to its
Page 45 and 46: CHAPTER 2. BOSONIC STRINGS 37The fi
Page 47 and 48: CHAPTER 3. SUPERSTRINGS 39First <st
Page 49 and 50: CHAPTER 3. SUPERSTRINGS 41Using Eqs
Page 51 and 52: CHAPTER 3. SUPERSTRINGS 43These equ
Page 53 and 54: CHAPTER 3. SUPERSTRINGS 45fermion.
Page 55 and 56:
CHAPTER 3. SUPERSTRINGS 47to again
Page 57 and 58:
CHAPTER 3. SUPERSTRINGS 49F, when a
Page 59 and 60:
CHAPTER 3. SUPERSTRINGS 51gives bac
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Chapter 4Conformal Invariance“Thi
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CHAPTER 4. CONFORMAL INVARIANCE 55O
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CHAPTER 4. CONFORMAL INVARIANCE 57d
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CHAPTER 4. CONFORMAL INVARIANCE 59p
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CHAPTER 5. BRANES 61conditions can
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CHAPTER 5. BRANES 63We should again
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CHAPTER 5. BRANES 65Open</s
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CHAPTER 5. BRANES 67Also remark tha
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CHAPTER 5. BRANES 69Generally speak
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CHAPTER 5. BRANES 71The embedding <
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CHAPTER 5. BRANES 735.2 NS5-branesY
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Chapter 6Setting“Alison I’ll dr
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CHAPTER 6. SETTING 78If we imagine
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CHAPTER 6. SETTING 80with r ∈Ê+,
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CHAPTER 6. SETTING 82But we can per
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CHAPTER 6. SETTING 84Figure 6.5: D1
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CHAPTER 7. A FIRST EXAMPLE 86The <s
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CHAPTER 7. A FIRST EXAMPLE 88From t
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CHAPTER 7. A FIRST EXAMPLE 90Using
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CHAPTER 7. A FIRST EXAMPLE 927.2.1
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CHAPTER 7. A FIRST EXAMPLE 947.2.4
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Chapter 8Computations“Trilingue!
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CHAPTER 8. COMPUTATIONS 98Hence,Usi
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CHAPTER 8. COMPUTATIONS 100classica
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CHAPTER 8. COMPUTATIONS 102The seco
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CHAPTER 8. COMPUTATIONS 104see what
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Bibliography[1] Bateman H, Higher T
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List of Abbreviati
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DBI Analysis of Open String Bound States on Non-compact D-branes

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