Factorization of Seiberg-Witten curves with fundamental matter | Zendy

Romuald A. Janik | Zendy; Niels A. Obers | Zendy; Peter B. Rønne | Zendy

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Factorization of Seiberg-Witten curves with fundamental matter

Author(s) -

Romuald A. Janik,

Niels A. Obers,

Peter B. Rønne

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/05/080

Subject(s) - factorization , mathematics , pure mathematics , algebra over a field , algorithm

We present an explicit construction of the factorization of Seiberg-Wittencurves for N=2 theory with fundamental flavors. We first rederive the exactresults for the case of complete factorization, and subsequently derive newresults for the case with breaking of gauge symmetry U(Nc) to U(N1)xU(N2). Wealso show that integrality of periods is necessary and sufficient forfactorization in the case of general gauge symmetry breaking. Finally, webriefly comment on the relevance of these results for the structure of N=1vacua.Comment: 24 pages, 2 figure

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