World-Sheet Supersymmetry Without Contact Terms

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14pp., 2 figures (included)

Scientific paper

10.1016/0370-2693(92)91879-E

Green and Seiberg showed that, in simple treatments of fermionic string theory, it is necessary to introduce contact interactions when vertex operators collide. Otherwise, certain superconformal Ward identities would be violated. In this note, we show how these contact terms arise naturally when proper account is taken of the superconformal geometry involved when punctures collide. More precisely, we show that there is no contact term at all! Rather, corrections arise to the ``na\"\i ve" formula when the boundary of moduli space is described correctly.

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