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Title:
Rank Q E-string on a torus
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Abstract:
We discuss compactifications of rank Q E-string theory on a torus with fluxes for abelian subgroups of the E_8 global symmetry of the 6d SCFT. We argue that the theories corresponding to such tori are built from a simple model we denote as E[USp(2Q)]. This model has a variety of non trivial properties. In particular the global symmetry is USp(2Q)^2 U(1)^2 with one of the two USp(2Q) symmetries emerging in the IR as an enhancement of SU(2)^Q symmetry of the UV Lagrangian. The E[USp(2Q)] upon dimensional reduction to 3d and a relevant deformation becomes the familiar 3d T[SU(Q)] theory. Gluing the E[USp(2Q)] models by gauging USp(2Q) symmetries with proper admixtures of chiral superfields gives rise to systematic constructions of many examples of 4d theories with emergent IR symmetries. Many of the identities, required from physical considerations, satisfied by the supersymmetric indices of the resulting theories follow directly from recent mathematical results obtained by E. Rains.
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