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Construction of 4d SYM compactified on open Riemann surfaces by the superfield formalism
By compactifying gauge theories on a lower dimensional manifold, we often
find many interesting relationships between a geometry and a supersymmetric
quantum field theory. In this paper we consider conformal field theories
obtained from twisted compactification on a Riemann surface with a boundary.
Various kinds of supersymmetric boundary conditions are exchanged under
S-duality. To consider these transformations one need to take into account
boundary degrees of freedom. So we study how the degrees of freedom can be
added at the boundary of the Riemann surface. In this paper I show that this
introduction of the boundary fields can be done preserving supersymmetry by
means of 2-dimensional superfields.Comment: 14 pages, some typos corrected and introduction is rewritten, the
title and abstract were change
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