We discuss compactifications of rank Q E-string theory on a torus with fluxes for abelian subgroups of the E8 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) × USp(2Q) × U(1)2 with one of the two USp(2Q) symmetries emerging in the IR as an enhancement of an SU(2)Q symmetry of the UV Lagrangian. The E[USp(2Q)] model after dimensional reduction to 3d and a subsequent Coulomb branch flow is closely related to the familiar 3d T[SU(Q)] theory, the model residing on an S-duality domain wall of 4d N = 4 SU(Q) SYM. Gluing the E[USp(2Q)] models by gauging the USp(2Q) symmetries with proper admixtures of chiral superfields gives rise to systematic constructions of many examples of 4d theories with emergent IR symmetries. We support our claims by various checks involving computations of anomalies and supersymmetric partition functions. Many of the needed identities satisfied by the supersymmetric indices follow directly from recent mathematical results obtained by E. Rains.
|State||Published - Jan 2020|
Bibliographical noteFunding Information:
We would like to thank Noppadol Mekareeya for valuable discussions. SP and SSR would like to thank the organizers of the Pollica summer workshop for hospitality during the final stages of this project. The workshop was funded in part by the Simons Foundation (Simons Collaboration on the Non-perturbative Bootstrap) and in part by the INFN, and the authors are grateful for this support. SP is partially supported by the ERC-STG grant 637844-HBQFTNCER and by the INFN. SSR is supported by Israel Science Foundation under grant no. 2289/18 and by I-CORE Program of the Planning and Budgeting Committee. M.S. is partially supported by the ERC-STG grant 637844-HBQFTNCER, by the University of Milano-Bicocca grant 2016-ATESP-0586 and by the INFN. GZ is partially supported by World Premier International Research Center Initiative (WPI), MEXT, Japan.
Copyright S. Pasquetti et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
ASJC Scopus subject areas
- Physics and Astronomy (all)