A note on the holographic beta and C functions

被引：43

作者：

Anselmi, D ^{[1
]}

Girardello, L

Porrati, M

Zaffaroni, A

机构：

[1] CERN, Div Theor, CH-1211 Geneva 23, Switzerland

[2] Univ Milano Bicocca, Dipartimento Fis, Milan, Italy

[3] NYU, Dept Phys, New York, NY 10012 USA

[4] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy

来源：

PHYSICS LETTERS B | 2000年 / 481卷 / 2-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0370-2693(00)00472-X

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The holographic RG flow in AdS/CFT correspondence naturally defines a holographic scheme in which the central charge c and the beta function are related by the formula c = -2c beta(a)beta(b)G(ab), where G(ab) is the metric of the kinetic term of the supergravity scalars. In particular, the metric in the space of couplings is f(ab) = 2cG(ab). We perform some checks of that result and we compare it with the quantum field theory expectations. We discuss alternative definitions of the c-function. In particular, we compare, for a particular supersymmetric flow, the holographic c-function with the central charge computed directly from the two-point function of the stress-energy tensor. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：346 / 352

页数：7

共 16 条

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