From Boundaries To Conditions Over Superspace

TL;DR

This paper explores how boundary conditions in superconformal theories relate to boundaries in superspace, introducing new boundary states and providing free field realizations within a 2D superspace framework.

Contribution

It demonstrates that superconformal boundary conditions arise from superspace boundaries and introduces two new infinite series of N=2 boundary states with explicit realizations.

Findings

Boundary conditions linked to superspace boundaries.

Introduction of two new N=2 boundary state series.

Development of a superspace approach offers new insights.

Abstract

N=1 and 2 superconformal boundary conditions are shown to be the consequence of a boundary on the worldsheet superspace with positive codimension in the anticommuting subspace. In addition to the well-known boundary conditions, I also find two new infinite series of N=2 boundary states. Their free field realizations are given. A self-contained development of 2d superspace leads to new perspectives on this subject.