期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2018)010
关键词
AdS-CFT Correspondence; Conformal Field Theory; Renormalization Group
资金
- U.S. Department of Energy [DE-SC0016244]
- NSF [PHY-1620059]
- U.S. Department of Energy (DOE) [DE-SC0016244] Funding Source: U.S. Department of Energy (DOE)
- Division Of Physics
- Direct For Mathematical & Physical Scien [1620059] Funding Source: National Science Foundation
Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator T (T) over bar, the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance r = r(c) in the bulk. As a quantitative check of the proposed duality, we compute the signal propagation speed, energy spectrum, and thermodynamic relations on both sides. In all cases, we obtain a precise match. We derive an exact RG flow equation for the metric dependence of the effective action of the T (T) over bar deformed theory, and find that it coincides with the Hamilton Jacobi equation that governs the radial evolution of the classical gravity action in AdS.
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