Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua

Details Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua

2008-01-15

arxiv.org/abs/0801.2154v1

Nucl.Phys.B804:19-69,2008

Physics

High Energy Physics

High Energy Physics - Theory

62 pages (46 pages + 5 appendices), 10 figures

Scientific paper

10.1016/j.nuclphysb.2008.05.005

We demonstrate that, in an appropriate limit, the off-shell M5-brane worldvolume action effectively captures the scalar potential of Seiberg-Witten theory perturbed by a small superpotential and, consequently, any nonsupersymmetric vacua that it describes. This happens in a similar manner to the emergence from M5's of the scalar potential describing certain type IIB flux configurations [arXiv:0705.0983]. We then construct exact nonholomorphic M5 configurations in the special case of SU(2) Seiberg-Witten theory deformed by a degree six superpotential which correspond to the recently discovered metastable vacua of Ooguri, Ookouchi, Park [arXiv:0704.3613], and Pastras [arXiv:0705.0505]. These solutions take the approximate form of a holomorphic Seiberg-Witten geometry with harmonic embedding along a transverse direction and allow us to obtain geometric intuition for local stability of the gauge theory vacua. As usual, dynamical processes in the gauge theory, such as the decay of nonsupersymmetric vacua, take on a different character in the M5 description which, due to issues of boundary conditions, typically involves runaway behavior in MQCD.

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