Euclidean supersymmetry, twisting and topological sigma models

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Published 10 June 2008 • Published under licence by IOP Publishing Ltd
, , Citation C.M. Hull et al JHEP06(2008)031 DOI 10.1088/1126-6708/2008/06/031

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Author affiliations

1 The Institute for Mathematical Sciences, Imperial College London, 53 Prince's Gate, London SW7 2PG, U.K.

2 Department of Theoretical Physics, Uppsala University, Box 803, SE-751 08 Uppsala, Sweden

3 The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, U.K.

4 C.N.Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY 11794-3840, U.S.A.

5 Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY 11794-3840, U.S.A.

6 Institute for Theoretical Physics, Masaryk University, 61137 Brno, Czech Republic

Dates

  1. Received 23 May 2008
  2. Accepted 27 May 2008
  3. Published

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1126-6708/2008/06/031

Abstract

We discuss two dimensional N-extended supersymmetry in Euclidean signature and its R-symmetry. For N = 2, the R-symmetry is SO(2) × SO(1, 1), so that only an A-twist is possible. To formulate a B-twist, or to construct Euclidean N = 2 models with H-flux so that the target geometry is generalised Kahler, it is necessary to work with a complexification of the sigma models. These issues are related to the obstructions to the existence of non-trivial twisted chiral superfields in Euclidean superspace.

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10.1088/1126-6708/2008/06/031