Gradient flow in logarithmic conformai field theory

Nick E. Mavromatos; Richard J. Szabo

doi:10.1016/S0370-2693(98)00500-0

Gradient flow in logarithmic conformai field theory

Nick E. Mavromatos^*
, Richard J. Szabo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

We establish conditions under which the worldsheet β-functions of logarithmic conformal field theories can be derived as the gradient of some scalar function on the moduli space of running coupling constants. We derive a renormalization group invariant version of this function and relate it to the usual Zamolodchikov C-function expressed in terms of correlation functions of the worldsheet energy-momentum tensor. The results are applied to the example of D-brane recoil in string theory.

Original language	English
Pages (from-to)	94-101
Number of pages	8
Journal	Physics Letters B
Volume	430
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(98)00500-0
Publication status	Published - 25 Jun 1998

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0370-2693(98)00500-0

Cite this

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title = "Gradient flow in logarithmic conformai field theory",

abstract = "We establish conditions under which the worldsheet β-functions of logarithmic conformal field theories can be derived as the gradient of some scalar function on the moduli space of running coupling constants. We derive a renormalization group invariant version of this function and relate it to the usual Zamolodchikov C-function expressed in terms of correlation functions of the worldsheet energy-momentum tensor. The results are applied to the example of D-brane recoil in string theory.",

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T1 - Gradient flow in logarithmic conformai field theory

AU - Mavromatos, Nick E.

AU - Szabo, Richard J.

PY - 1998/6/25

Y1 - 1998/6/25

N2 - We establish conditions under which the worldsheet β-functions of logarithmic conformal field theories can be derived as the gradient of some scalar function on the moduli space of running coupling constants. We derive a renormalization group invariant version of this function and relate it to the usual Zamolodchikov C-function expressed in terms of correlation functions of the worldsheet energy-momentum tensor. The results are applied to the example of D-brane recoil in string theory.

AB - We establish conditions under which the worldsheet β-functions of logarithmic conformal field theories can be derived as the gradient of some scalar function on the moduli space of running coupling constants. We derive a renormalization group invariant version of this function and relate it to the usual Zamolodchikov C-function expressed in terms of correlation functions of the worldsheet energy-momentum tensor. The results are applied to the example of D-brane recoil in string theory.

UR - https://www.scopus.com/pages/publications/0347812937

U2 - 10.1016/S0370-2693(98)00500-0

DO - 10.1016/S0370-2693(98)00500-0

M3 - Article

AN - SCOPUS:0347812937

SN - 0370-2693

VL - 430

SP - 94

EP - 101

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2

ER -

Gradient flow in logarithmic conformai field theory

Abstract

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