/SO(N) superpotential, Seiberg-Witten curves and loop equations
Abstract
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 RP2.
- Publication:
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Physics Letters B
- Pub Date:
- February 2003
- DOI:
- 10.1016/S0370-2693(02)03232-X
- arXiv:
- arXiv:hep-th/0212069
- Bibcode:
- 2003PhLB..553..309J
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 13 pages