Dynamical supersymmetry analysis of conformal invariance for superstrings in type IIB R-R plane-wave

TL;DR

This paper uses dynamical supersymmetry algebra to analyze and justify the conformal invariance of superstrings in type IIB R-R plane-wave backgrounds, providing an alternative approach to previous results.

Contribution

It introduces a supersymmetry-based method to derive the energy-momentum tensor and analyze Virasoro anomalies, offering new insights into superstring conformal invariance.

Findings

Quantum EM tensor derived from susy algebra

Virasoro anomaly terms vanish upon integration

Regularization scheme resolves ordering ambiguities

Abstract

In a previous work (arXiv:0902.3750 [hep-th]) we studied the world-sheet conformal invariance for superstrings in type IIB R-R plane-wave in semi-light-cone gauge. Here we give further justification to the results found in that work through alternative arguments using dynamical supersymmetries. We show that by using the susy algebra the same quantum definition of the energy-momentum (EM) tensor can be derived. Furthermore, using certain Jacobi identities we indirectly compute the Virasoro anomaly terms by calculating second order susy variation of the EM tensor. Certain integrated form of all such terms are shown to vanish. In order to deal with various divergences that appear in such computations we take a point-split definition of the same EM tensor. The final results are shown not to suffer from the ordering ambiguity as noticed in the previous work provided the coincidence limit is taken before sending the regularization parameter to zero at the end of the computation.