Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-03-15
Nucl.Phys. B450 (1995) 90-102; Erratum-ibid. B459 (1996) 439-451
Physics
High Energy Physics
High Energy Physics - Theory
15 pages harvmac
Scientific paper
10.1016/0550-3213(95)00259-U
Using the topological techniques developed in an earlier paper with Vafa, a field theory action is constructed for any open string with critical N=2 worldsheet superconformal invariance. Instead of the Chern-Simons-like action found by Witten, this action resembles that of a Wess-Zumino-Witten model. For the N=2 string which describes (2,2) self-dual Yang-Mills, the string field generalizes the scalar field of Yang. As was shown in recent papers, an N=2 string can also be used to describe the Green-Schwarz superstring in a Calabi-Yau background. In this case, one needs three types of string fields which generalize the real superfield of the super-Yang-Mills prepotential, and the chiral and anti-chiral superfields of the Calabi-Yau scalar multiplet. The resulting field theory action for the open superstring in a Calabi-Yau background has the advantages over the standard RNS action that it is manifestly SO(3,1) super-Poincar\'e invariant and does not require contact terms to remove tree-level divergences.
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