2005年2月14日
N=4 Twisted Superspace from Dirac-Kahler Twist and Off-shell SUSY Invariant Actions in Four Dimensions
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- ,
- 巻
- B721:229-286
- 号
- DOI
- 10.1016/j.nuclphysb.2005.05.024
We propose N=4 twisted superspace formalism in four dimensions by introducing
Dirac-Kahler twist. In addition to the BRST charge as a scalar counter part of
twisted supercharge we find vector and tensor twisted supercharges. By
introducing twisted chiral superfield we explicitly construct off-shell twisted
N=4 SUSY invariant action. We can propose variety of supergauge invariant
actions by introducing twisted vector superfield. We may, however, need to find
further constraints to identify twisted N=4 super Yang-Mills action. We propose
a superconnection formalism of twisted superspace where constraints play a
crucial role. It turns out that N=4 superalgebra of Dirac-Kahler twist can be
decomposed into N=2 sectors. We can then construct twisted N=2 super Yang-Mills
actions by the superconnection formalism of twisted superspace in two and four
dimensions.
Dirac-Kahler twist. In addition to the BRST charge as a scalar counter part of
twisted supercharge we find vector and tensor twisted supercharges. By
introducing twisted chiral superfield we explicitly construct off-shell twisted
N=4 SUSY invariant action. We can propose variety of supergauge invariant
actions by introducing twisted vector superfield. We may, however, need to find
further constraints to identify twisted N=4 super Yang-Mills action. We propose
a superconnection formalism of twisted superspace where constraints play a
crucial role. It turns out that N=4 superalgebra of Dirac-Kahler twist can be
decomposed into N=2 sectors. We can then construct twisted N=2 super Yang-Mills
actions by the superconnection formalism of twisted superspace in two and four
dimensions.
- リンク情報
- ID情報
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- DOI : 10.1016/j.nuclphysb.2005.05.024
- arXiv ID : hep-th/0502119