195 research outputs found
A continuous Wick rotation for spinor fields and supersymmetry in Euclidean space
We obtain a continuous Wick rotation for Dirac, Majorana and Weyl spinors
which interpolates
between Minkowski and Euclidean field theories.Comment: Proceedings of the String conference held at Imperial College,
London, July 1996. 9 pages, Late
Simple d=4 supergravity with a boundary
To construct rigidly or locally supersymmetric bulk-plus-boundary actions,
one needs an extension of the usual tensor calculus. Its key ingredients are
the extended (F-, D-, etc.) density formulas and the rule for the decomposition
of bulk multiplets into (co-dimension one) boundary multiplets. Working out
these ingredients for d=4 N=1 Poincar\'e supergravity, we discover the special
role played by R-symmetry (absent in the d=3 N=1 case we studied previously).
The R-symmetry has to be gauged which leads us to extend the
old-minimal set of auxiliary fields S, P, A_\mu by a compensator .
Our results include the ``F+A'' density formula, the ``Q+L+A'' formula for the
induced supersymmetry transformations (closing into the standard d=3 N=1
algebra) and demonstration that the compensator is the first component of
the extrinsic curvature multiplet. We rely on the superconformal approach which
allows us to perform, in parallel, the same analysis for new-minimal
supergravity.Comment: 26 pages. JHEP forma
On the nature of the anomalies in the supersymmetric kink
We discuss the possibility to absorb all anomalies in the supersymmetry
algebra of the N=(1,1) Wess-Zumino model in d=1+1 by a local counter term. This
counter term corresponds to the change of the vacuum parameter in the
model and the transition to an unconventional but admissible renormalization
scheme. It does not modify the physical consequences such as BPS saturation,
and thus the situation is rather different from gauge theory where local
counter terms are required to absorb spurious gauge anomalies.Comment: 10 pages, LATe
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