Super-Chern-Simons Theory as Superstring Theory

Details Super-Chern-Simons Theory as Superstring Theory Super-Chern-Simons Theory as Superstring Theory

Publishing date

2004-12-22

URL

arxiv.org/abs/hep-th/0412272v1

Science

Physics

Field

High Energy Physics

SubField

High Energy Physics - Theory

Additional info

hravmac, 50pp

Type

Scientific paper

Abstract

Superstrings and topological strings with supermanifolds as target space play a central role in the recent developments in string theory. Nevertheless the rules for higher-genus computations are still unclear or guessed in analogy with bosonic and fermionic strings. Here we present a common geometrical setting to develop systematically the prescription for amplitude computations. The geometrical origin of these difficulties is the theory of integration of superforms. We provide a translation between the theory of supermanifolds and topological strings with supertarget space. We show how in this formulation one can naturally construct picture changing operators to be inserted in the correlation functions to soak up the zero modes of commuting ghost and we derive the amplitude prescriptions from the coupling with an extended topological gravity on the worldsheet. As an application we consider a simple model on R^(3|2) leading to super-Chern-Simons theory.

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