Twisted superspace

Laurent Baulieu; Guillaume Bossard; Alexis Martin

doi:10.1016/j.physletb.2008.03.054

Twisted superspace

Laurent Baulieu
, Guillaume Bossard
, Alexis Martin

European Organization for Nuclear Research
Sorbonne Universityé
Max-Planck-Institut fuer Gravitationsphysik

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	275-280
Nombre de pages	6
journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	663
Numéro de publication	3
Les DOIs	https://doi.org/10.1016/j.physletb.2008.03.054
état	Publié - 22 mai 2008
Modification externe	Oui

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AU - Bossard, Guillaume

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AB - 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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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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ER -

Twisted superspace

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