Mixed (open/closed) N=(2,2) string theory as an integrable deformation of self-duality

TL;DR

This paper investigates the integrability of the effective field equations in a mixed open/closed (2,2) string theory, revealing integrability only for abelian gauge groups and linking gravitational equations to a Born-Infeld-type action.

Contribution

It demonstrates the conditions under which the effective equations of motion are integrable in mixed (2,2) string theory, highlighting the special case of abelian gauge groups.

Findings

Effective equations are integrable only for abelian gauge groups.

Gravitational equations are stationary with respect to a Born-Infeld-type action.

Provides insights into the structure of mixed open/closed string theories.

Abstract

The exact effective field equations of motion, corresponding to the perturbative mixed theory of open and closed (2,2) world-sheet supersymmetric strings, are investigated. It is shown that they are only integrable in the case of an abelian gauge group. The gravitational equations are then stationary with respect to the Born-Infeld-type effective action.