Introduction to the AdS/CFT correspondence

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6/22 The AdS space. 4. AdS has a boundary, i.e. a hypersurface reflecting light rays: r 8 Massive geodesics are confined inside AdS
7/22 Partition functions The correspondence can be made more precise Gubser, Klebanov, Polyakov; Witten, 1998 To every field ϕ in the bulk of AdS there corresponds a local operator Opxq on the boundary For example, g µν ô T µν , A µ ô J µ Moreover, xe i ³ d 4 x φ 0 pxq Opxq y Z bulk pφ 0 q — the partition function of the bulk theory with the condition φ Ñ φ 0 at the boundary i » d 4 x A µ B pxq J µ pxq is gauge-invariant!
Page 1 and 2: 1/22 Introduction to the AdS/CFT co
Page 3 and 4: 2/22 The main concept Quantum fi
Page 5 and 6: 2/22 The main concept Quantum fi
Page 7 and 8: 3/22 The AdS space A non-compac
Page 9 and 10: 3/22 The AdS space A non-compac
Page 11 and 12: 4/22 The AdS space. 2. The global
Page 13 and 14: 4/22 The AdS space. 2. The global
Page 15 and 16: 5/22 The AdS space. 3. Hence we ar
Page 17: 6/22 The AdS space. 4. AdS has a
Page 21 and 22: 7/22 Partition functions The corr
Page 23 and 24: 7/22 Partition functions The corr
Page 25 and 26: Partition functions. 2. Imagine a
Page 27 and 28: Partition functions. 2. Imagine a
Page 29 and 30: 9/22 Partition functions. 3. Use
Page 31 and 32: 10/22 Partition functions. 4. In
Page 33 and 34: 10/22 Partition functions. 4. In
Page 35 and 36: Partition functions. 5. Therefor
Page 37 and 38: Partition functions. 5. Therefor
Page 39 and 40: 12/22 Partition functions. 6. To
Page 41 and 42: 13/22 A confining potential Let us
Page 43 and 44: 14/22 A confining potential. 2. T
Page 45 and 46: 14/22 A confining potential. 2. T
Page 47 and 48: 15/22 The Wilson loop µ An impo
Page 49 and 50: 15/22 The Wilson loop µ An impo
Page 51 and 52: The quark-antiquark potential Let
Page 53 and 54: The quark-antiquark potential Let
Page 55 and 56: 17/22 The quark-antiquark potential
Page 61 and 62: 18/22 The advent of mesons What wi
Page 63 and 64: 18/22 The advent of mesons What wi
Page 65 and 66: 19/22 AdS 5 ¢ S 5 vs. N 4 SYM N
Page 67 and 68: 19/22 AdS 5 ¢ S 5 vs. N 4 SYM N
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19/22 AdS 5 ¢ S 5 vs. N 4 SYM N
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20/22 AdS 5 ¢ S 5 vs. N 4 SYM
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20/22 AdS 5 ¢ S 5 vs. N 4 SYM
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20/22 AdS 5 ¢ S 5 vs. N 4 SYM
Page 77 and 78:
21/22 Questions / Answers We have d
Page 79 and 80:
21/22 Questions / Answers We have d
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Introduction to the AdS/CFT correspondence

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