Exploring The Lambda Model Of The Hybrid Superstring

TL;DR

This paper investigates the lambda-deformation of the hybrid superstring formalism in AdS2 x S2, demonstrating that the deformation preserves integrability and conformal invariance, thus contributing to the understanding of integrable superstring models.

Contribution

It introduces the lambda-deformation for the hybrid superstring formalism and shows it maintains integrability and conformal invariance, linking it to the pure spinor formalism.

Findings

The lambda-deformation preserves classical integrability.

The deformation maintains one-loop conformal invariance.

The resulting model is a marginal deformation of the original theory.

Abstract

The purpose of this contribution is to initiate the study of integrable deformations for different superstring theory formalisms that manifest the property of (classical) integrability. In this paper we choose the hybrid formalism of the superstring in the background AdS_{2}xS^{2} and explore in detail the most immediate consequences of its lambda-deformation. The resulting action functional corresponds to the lambda-model of the matter part of the fairly more sophisticated pure spinor formalism, which is also known to be classical integrable. In particular, the deformation preserves the integrability and the one-loop conformal invariance of its parent theory, hence being a marginal deformation.