Exploring Pure Spinor String Theory on AdS_4 x CP^3

TL;DR

This paper formulates the pure spinor superstring theory on AdS_4 x CP^3, demonstrating its topological structure, and explores its geometric phases, boundary conditions, and related models.

Contribution

It recasts the pure spinor superstring on AdS_4 x CP^3 as a topological A-model and introduces a gauged linear sigma-model to analyze its phases and boundary conditions.

Findings

Proved the sigma-model's exactness.

Developed a gauged linear sigma-model for the superstring.

Analyzed the phase structure and D-brane boundary conditions.

Abstract

In this paper we formulate the pure spinor superstring theory on AdS_4 x CP^3. By recasting the pure spinor action as a topological A-model on the fermionic supercoset Osp(6|4)/SO(6)xSp(4) plus a BRST exact term, we prove the exactness of the sigma-model. We then give a gauged linear sigma-model which reduces to the superstring in the limit of large volume and we study its branch geometry in different phases. Moreover, we discuss possible D-brane boundary conditions and the principal chiral model for the fermionic supercoset.