T-branes through 3d mirror symmetry
T-branes through 3d mirror symmetry
复制标题
通过 3D 镜像对称的 T 形膜
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
R. Valandro
中科院分区：
文献类型：
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作者：
A. Collinucci;S. Giacomelli;R. Savelli;R. Valandro
BstractT-膜是D-膜的奇异束缚态，其特征是世界体积标量的相互非对易真空期望值。M/F理论几何提升D6/D7膜构型对T膜数据是盲目的。在这篇文章中，我们通过用M2膜探测几何来证明这一数据。我们发现T膜的作用是用单极算符使膜的世界体积超势发生形变，部分破坏了三维味道对称性，并将超对称性从N$$数学{N}$$=4降低到N$$数学{N}$$=2。我们的主要工具是三维镜像对称性。通过这种语言，建立了一个非常具体的框架来理解M理论中的T膜。这导致我们发现了一类新的N$$数学{N}$$=2箭图规范理论，它的希格斯分支模仿了ADE奇点处的膜，但它的库仑分支不同于它们的N$$数学{N}$$=4对应理论。
A bstractT-branes are exotic bound states of D-branes, characterized by mutually non-commuting vacuum expectation values for the worldvolume scalars. The M/F-theory geometry lifting D6/D7-brane configurations is blind to the T-brane data. In this paper, we make this data manifest, by probing the geometry with an M2-brane. We find that the effect of a T-brane is to deform the membrane worldvolume superpotential with monopole operators, which partially break the three-dimensional flavor symmetry, and reduce super-symmetry from N$$ mathcal{N} $$ = 4 to N$$ mathcal{N} $$ = 2. Our main tool is 3d mirror symmetry. Through this language, a very concrete framework is developed for understanding T-branes in M-theory. This leads us to uncover a new class of N$$ mathcal{N} $$ = 2 quiver gauge theories, whose Higgs branches mimic those of membranes at ADE singularities, but whose Coulomb branches differ from their N$$ mathcal{N} $$ = 4 counterparts.