Holographic c-theorems

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Motivation: “role of higher curvature interactions on AdS/CFT calculations” Overview: 1. Introductory remarks on c-theorem and CFT’s 2. Holographic c-theorem I: Einstein gravity 3. Holographic c-theorem II: Quasi-topological gravity 4. Holographic c-theorem III: Higher curvature theories 5. a d* , Entanglement entropy and Beyond 6. Concluding remarks
Holographic RG flows: (Freedman, Gubser, Pilch & Warner, hep-th/9904017) (Girardello, Petrini, Porrati and Zaffaroni, hep-th/9810126) • assume stationary points: matter fields fixed and • consider metric: (eg, scalar field: ) • at stationary points, AdS 5 vacuum: with • RG flows are solutions starting at one stationary point and ending at another UV IR
Page 2 and 3: Motivation: “role of higher curva
Page 4 and 5: C-theorems in higher dimensions d=2
Page 6 and 7: SUSY example: (Anselmi, Freedman, G
Page 8 and 9: C-theorems in higher dimensions d=2
Page 10 and 11: Counterexample to a-theorem: (Shape
Page 14 and 15: Holographic RG flows: • for gener
Page 16 and 17: Holographic RG flows: (Freedman, Gu
Page 18 and 19: Improved Holographic RG Flows: •
Page 20 and 21: Improved Holographic RG Flows: •
Page 22 and 23: Higher Curvature Terms without Deri
Page 24 and 25: Quasi-Topological gravity: (Myers,
Page 26 and 27: Quasi-Topological gravity: (Myers &
Page 28 and 29: RG flows in Quasi-Topological gravi
Page 32 and 33: Higher Dimensions: • straightforw
Page 34 and 35: What is where AdS curvature: • t
Page 38 and 39: More Improved Holographic RG Flows:
Page 46 and 47: Motivation: “role of higher curva
Page 48 and 49: and Entanglement Entropy • in 100
Page 50 and 51: and Entanglement Entropy • place
Page 52 and 53: and Entanglement Entropy (see Kulax
Page 54 and 55: and Entanglement Entropy • we had
Page 56 and 57: and Entanglement Entropy • consid
Page 58 and 59: and Entanglement Entropy • puzzle
Page 60 and 61: entanglement entropy: for even d fo
Page 62 and 63:
and Beyond: • Susskind & Witten:
Page 64 and 65:
and Beyond: • Susskind & Witten:
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Holographic c-theorems

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