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Rank Q E-string on a torus with flux
by Sara Pasquetti, Shlomo S. Razamat, Matteo Sacchi, Gabi Zafrir
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Sara Pasquetti · Shlomo Razamat · Matteo Sacchi |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/1908.03278v2 (pdf) |
| Date accepted: | 2020-01-22 |
| Date submitted: | 2020-01-15 01:00 |
| Submitted by: | Razamat, Shlomo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
List of changes
Referee I:
1 -- We have rechecked the equation 4.18 and it is OK as written. (One issue that often causes mistakes is that the antisymmetric fields should be remembered to be taken traceless.)
2 -- We have added footnote 1 on page 4 to comment on the needed holonomy.
3 -- We have added the reference to fields bn in the caption of Figure 3.
4 -- We added footnote 8 to refer to equation 3.19 for the proper relation between the parameters.
We have fixed the typos found by the referee.
Referee II:
1 -- We fixed equation 2.5. We thank the referee for spotting this typo.
2 -- We streamlined the references to different types of models. In particular we now refer only to FM[SU(Q)] and not to FM[U(Q)]. The partition function of FM[U(Q)] appears only in intermediate steps of the calculation and we added a comment around 5.24 to explain how it is related to the one of FM[SU(Q)].
4 -- We added a comment below 3.13 explaining how the entry should be determined.
6 -- We have rephrased the discussion around equation 5.2.
We have fixed the typos and parsing issues mentioned by the referee.
Published as SciPost Phys. 8, 014 (2020)