String Sigma Models on Curved Supermanifolds

2018/01/15 by Roberto Catenacci, Catenacci, Roberto, Pietro Antonio Grassi +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1801.04854

18 pages. Contribution to the Special Issue of Universe "Super Geometry for Super Strings"

arxiv created 2018/01/15 · arxiv updated 2018/01/16

Abstract

We use the techniques of integral forms to analyse the easiest example of two dimensional sigma models on a supermanifold. We write the action as an integral of a top integral form over a D=2 supermanifold and we show how to interpolate between different superspace actions. Then, we consider curved supermanifolds and we show that the definitions used for flat supermanifold can also be used for curved supermanifolds. We prove it by first considering the case of a curved rigid supermanifold and then the case of a generic curved supermanifold described by a single superfield E.

Related

• Gauged Linear Sigma Model on Supermanifold
• Superstring Field Theory, Superforms and Supergeometry
• Integral representations in supermanifolds: super Hodge duals, PCOs and Liouville forms
• Higher Derivative Corrections to the Abelian Born-Infeld Action using Superspace Methods
• Strings as sigma models and in the tensionless limit