Off-shell M5 brane, perturbed Seiberg–Witten theory, and metastable vacua
Off-shell M5 brane, perturbed Seiberg–Witten theory, and metastable vacua
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离壳 M5 膜、扰动 Seiberg-Witten 理论和亚稳态真空
DOI：
10.1016/j.nuclphysb.2008.05.005
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
M. Shigemori
中科院分区：
文献类型：
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作者：
J. Marsano;K. Papadodimas;M. Shigemori
我们证明，在适当的限制下，离壳m5膜世界体积作用有效地捕获了Seiberg-Witten理论中被小超势扰动的标量势，从而捕获了它所描述的任何非超对称真空。这与描述某些IIB型通量构型的标量势的M5的出现方式类似[J]。马萨诺，K. Papadodimas， M. Shigemori，非超对称膜/反膜构型的IIA型和M理论，核。理论物理。[j].农业工程学报（自然科学版），2008,26(4):557 - 557。然后，我们在SU(2) Seiberg-Witten理论的特殊情况下构造了精确的非全纯M5构型，该构型对应于最近发现的Ooguri， Ookouchi， Park [H]的亚稳态真空。吴志刚，吴志刚，张志刚，微扰Seiberg-Witten理论中的亚稳态真空[j] .物理学报，vol . 39(4): 533 - 536。Pastras， N=2 SYM软破碎到N=1的非超对称亚稳态真空[p-th]， [j]；这些解采用沿横向谐波嵌入的全纯Seiberg-Witten几何的近似形式，并允许我们获得规范理论真空的局部稳定性的几何直观。通常，规范理论中的动态过程，如非超对称真空的衰变，在M5描述中具有不同的特征，由于边界条件的问题，通常涉及MQCD中的失控行为。
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 [J. Marsano, K. Papadodimas, M. Shigemori, Nonsupersymmetric brane/antibrane configurations in type IIA and M theory, Nucl. Phys. B 789 (2008) 294, arXiv: 0705.0983 [hep-th]]. 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 [H. Ooguri, Y. Ookouchi, C.S. Park, Metastable vacua in perturbed Seiberg–Witten theories, arXiv: 0704.3613 [hep-th]], and Pastras [G. Pastras, Non-supersymmetric metastable vacua in N=2 SYM softly broken to N=1, arXiv: 0705.0505 [hep-th]]. 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.