On worldsheet curvature coupling in pure spinor sigma-model

TL;DR

This paper explores the connection between vertex operators and worldsheet curvature coupling in string theory, focusing on the pure spinor superstring in AdS5×S5 and clarifying the origin of the Fradkin-Tseytlin term.

Contribution

It provides new insights into the relation between unintegrated and integrated vertex operators and introduces conjectures on finite-dimensional vertices in the pure spinor formalism.

Findings

Computed the action of b_0 - _b_0 on the beta-deformation vertex.

Clarified the origin of the Fradkin-Tseytlin term in the BV formalism.

Formulated new conjectures on finite-dimensional vertices.

Abstract

We discuss the relation between unintegrated and integrated vertex operators in string worldsheet theory, in the context of BV formalism. In particular, we clarify the origin of the Fradkin-Tseytlin term. We first consider the case of bosonic string, and then concentrate on the case of pure spinor superstring in $AdS_5\times S^5$. In particular, we compute the action of $b_0 - \bar{b}_0$ on the beta-deformation vertex. As a by-product, we formulate some new conjectures on general finite-dimensional vertices.