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arXiv · 0710.5689

On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills

Kazuhiro Nagata
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Abstract

Employing a twisted superspace with eight supercharges, we describe an off-shell formulation of N=4 D=3 twisted super Yang-Mills in the continuum spacetime which underlies the recent proposal of N=4 D=3 twisted super Yang-Mills on a lattice (arXiv:0707.3533[hep-lat]). By a dimensional reduction from the N=2 D=4, we explore the two possible topological twists of N=4 D=3 and then show that the lattice formulation given in arXiv:0707.3533[hep-lat] is essentially categorized as the B-type. We also show that, amongst the two inequivalent twists of N=4 D=3, only the B-type SYM can be realized on the lattice consistently with the Leibniz rule and the gauge covariance on the lattice.

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Kazuhiro Nagata. 2007-11-02. On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills. https://doi.org/10.1088/1126-6708%2F2008%2F01%2F041

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