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Open AccessArticle

String Sigma Models on Curved Supermanifolds

1
Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, v. T. Michel, 11, 15121 Alessandria, Italy
2
Gruppo Nazionale di Fisica Matematica, INdAM, P.le Aldo Moro 5, 00185 Roma, Italy
3
National Institute of Nuclear Physics (INFN), Sezione di Torino, via P. Giuria 1, 10125 Torino, Italy
4
Arnold-Regge Center, via P. Giuria 1, 10125 Torino, Italy
*
Author to whom correspondence should be addressed.
Universe 2018, 4(4), 60; https://doi.org/10.3390/universe4040060
Received: 15 January 2018 / Revised: 18 April 2018 / Accepted: 20 April 2018 / Published: 24 April 2018
(This article belongs to the Special Issue Super Geometry for Super Strings)
We use the techniques of integral forms to analyze 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 supermanifolds 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. View Full-Text
Keywords: supermanifolds; sigma models; string models supermanifolds; sigma models; string models
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Catenacci, R.; Grassi, P.A. String Sigma Models on Curved Supermanifolds. Universe 2018, 4, 60.

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