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arXiv · 0802.1980

Twisted Superspace

Laurent Baulieu·Guillaume Bossard·Alexis Martin
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Abstract

We formulate the ten-dimensional super-Yang-Mills theory in a twisted superspace with 8+1 supercharges. Its constraints do not imply the equations of motion and we solve them. As a preliminary step for a complete formulation in a twisted superspace, we give a superspace path-integral formulation of the N=2, d=4 super-Yang-Mills theory without matter. The action is the sum of a Chern--Simons term depending on a super-connection plus a BF-like term. The integration over the superfield B implements the twisted superspace constraints on the super-gauge field, and the Chern-Simons action reduces to the known action in components.

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Laurent Baulieu, Guillaume Bossard, Alexis Martin. 2008-05-17. Twisted Superspace. https://doi.org/10.1016/j.physletb.2008.03.054

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