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Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)

Anber, Mohamed M.; Poppitz, Erich

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Erich Poppitz


We study the domain walls in hot 4-D SU(N) super Yang-Mills theory and QCD(adj), with nf Weyl flavors. We find that the k-wall worldvolume theory is 2-D QCD with gauge group SU(N − k) × SU(k) × U(1) and Dirac fermions charged under U(1) and transforming in the bi-fundamental representation of the nonabelian factors. We show that the DW theory has a 1-form ℤ (1) N center symmetry and a 0-form Zdχ2Nnf discrete chiral symmetry, with a mixed ’t Hooft anomaly consistent with bulk/wall anomaly inflow. We argue that ℤ (1) N is broken on the wall, and hence, Wilson loops obey the perimeter law. The breaking of the worldvolume center symmetry implies that bulk p-strings can end on the wall, a phenomenon first discovered using string-theoretic constructions. We invoke 2-D bosonization and gauged Wess-Zumino-Witten models to suggest that Zdχ2Nnf is also broken f in the IR, which implies that the 0-form/1-form mixed ’t Hooft anomaly in the gapped k-wall theory is saturated by a topological quantum field theory. We also find interesting parallels between the physics of high-temperature domain walls studied here and domain walls between chiral symmetry breaking vacua in the zero temperature phase of the theory (studied earlier in the semiclassically calculable small spatial circle regime), arising from the similar mode of saturation of the relevant ’t Hooft anomalies.


Anber, M. M., & Poppitz, E. (2019). Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj). Journal of High Energy Physics, 2019(5), Article 151.

Journal Article Type Article
Acceptance Date May 7, 2019
Online Publication Date May 23, 2019
Publication Date 2019
Deposit Date Oct 3, 2021
Publicly Available Date Oct 4, 2021
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2019
Issue 5
Article Number 151


Published Journal Article (787 Kb)

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