Off-shell M5 Brane, Perturbed Seiberg-Witten Theory, and Metastable Vacua
نویسندگان
چکیده
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 super-potential 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 [1]. 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 [2], and Pastras [3]. 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.
منابع مشابه
Metastable Vacua in Perturbed Seiberg-Witten Theories, Part 2: Fayet-Iliopoulos Terms and Kähler Normal Coordinates
متن کامل
Comments on Brane Configurations with Semi-infinite D4 Branes
We consider four dimensional supersymmetric gauge field theories from brane configurations with the matter content given by semi-infinite D4 branes ending on both sides of NS branes. In M theory configuration, we discuss the splitting of the M5 brane into infinite cylindrical M5 branes (which decouple) and transversal M5 brane. The splitting condition appears naturally from the consistency of t...
متن کاملMetastable Vacua in Perturbed Seiberg-Witten Theories
We show that, for a generic choice of a point on the Coulomb branch of any N = 2 supersymmetric gauge theory, it is possible to find a superpotential perturbation which generates a metastable vacuum at the point. For theories with SU(N) gauge group, such a superpotential can be expressed as a sum of single-trace terms for N = 2 and 3. If the metastable point is chosen at the origin of the modul...
متن کاملRemarks on the M5-brane
The fivebrane of M theory – the M5-brane – is an especially interesting object. It plays a central role in a geometric understanding of the Seiberg–Witten solution of N=2 D=4 gauge theories as well as in certain new 6d quantum theories. The low energy effective action is an interacting theory of a (2,0) tensor multiplet. The fact that this multiplet contains a two-form gauge field with a self-d...
متن کاملMetastable Vacua, Geometrical Engineering and MQCD Transitions
We consider the geometrical engineering of the non-supersymmetric metastable vacua of N = 1 super Yang-Mills proposed in [8] and [22]. By T-duality they become N = 1 brane configurations. The identifications between gluino condensation and the geometry sizes for the configurations of [22] are studied by proceeding through the usual MQCD transitions. The geometrical description of the Seiberg du...
متن کامل