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Remarks on twisted theories with matter

Jose D. Edelstein·Marta Gomez-Reino·Marcos Marino
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Abstract

We investigate some aspects of N=2 twisted theories with matter hypermultiplets in the fundamental representation of the gauge group. A consistent formulation of these theories on a general four-manifold requires turning on a particular magnetic flux, which we write down explicitly in the case of SU(2k). We obtain the blowup formula and show that the blowup function is given by a hyperelliptic sigma-function with singular characteristic. We compute the contact terms and find, as a corollary, interesting identities between hyperelliptic Theta functions.

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Jose D. Edelstein, Marta Gomez-Reino, Marcos Marino. 2000-11-25. Remarks on twisted theories with matter. https://doi.org/10.1088/1126-6708%2F2001%2F01%2F004

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