Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-05
Phys.Lett. B553 (2003) 309-316
Physics
High Energy Physics
High Energy Physics - Theory
13 pages; v2: minor typos, one equation added
Scientific paper
10.1016/S0370-2693(02)03232-X
We consider the exact superpotential of N=1 super Yang-Mills theory with gauge group SO(N) and arbitrary tree-level polynomial superpotential of one adjoint Higgs field. A field-theoretic derivation of the glueball superpotential is given, based on factorization of the N=2 Seiberg-Witten curve. Following the conjecture of Dijkgraaf and Vafa, the result is matched with the corresponding SO(N) matrix model prediction. The verification involves an explicit solution of the first non-trivial loop equation, relating the spherical free energy to that of the non-orientable surfaces with topology $RP^2$.
Janik Romuald A.
Obers Niels A.
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