Phases of two adjoints QCD3 and a duality chain

Choi, Changha

doi:10.1007/jhep04(2020)006

Cited by 17 publications

(19 citation statements)

References 90 publications

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“…Very little is known on the dynamics of rank-2 matter for N = 1 theories. We hope that a story similar to the one in the present paper is valid in the 3d N = 1 realm, which might be at midway between the N = 2 and the non-supersymmetric case [48][49][50]. In particular, the IR dynamics of non-supersymmetric theories with two real adjoint fields, unveiled in [50], displays an intricate duality chain reminiscent of the N = 2 sequential deconfinement.…”

Section: Further Directionssupporting

confidence: 56%

Sequential deconfinement in 3d $$ \mathcal{N} $$ = 2 gauge theories

Benvenuti

Garozzo

Monaco

2021

J. High Energ. Phys.

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We consider 3d$$ \mathcal{N} $$ N = 2 gauge theories with fundamental matter plus a single field in a rank-2 representation. Using iteratively a process of “deconfinement” of the rank-2 field, we produce a sequence of Seiberg-dual quiver theories. We detail this process in two examples with zero superpotential: Usp(2N) gauge theory with an antisymmetric field and U(N) gauge theory with an adjoint field. The fully deconfined dual quiver has N nodes, and can be interpreted as an Aharony dual of theories with rank-2 matter. All chiral ring generators of the original theory are mapped into gauge singlet fields of the fully deconfined quiver dual.

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Section: Further Directionssupporting

confidence: 56%

Sequential deconfinement in 3d $$ \mathcal{N} $$ = 2 gauge theories

Benvenuti

Garozzo

Monaco

2021

J. High Energ. Phys.

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“…It would be nice to see if the non-invertible lines can be matched across Chern-Simons-matter dualities. However, as far as we know, Chern-Simons-matter dualities for N f ∈ 4 flavors of adjoint or symmetric tensor matter have not been studied in the literature (but see [40][41][42] for dualities involving N f = 1 matter, and [43] for dualities involving N f = 2 matter). It would be interesting to study this in the future.…”

Section: Appendix A: Explicit Derivations Of Fusion Rulesmentioning

confidence: 99%

Kramers-Wannier-like duality defects in (3+1)d gauge theories

Kaidi,

Ohmori,

Zheng

2021

Preprint

182

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We introduce a class of non-invertible topological defects in (3 + 1)d gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in the (1 + 1)d critical Ising model. As in the lower-dimensional case, the presence of such non-invertible defects implies self-duality under a particular gauging of their discrete (higher-form) symmetries. Examples of theories with such a defect include SO(3) Yang-Mills (YM) at θ = π, N = 1 SO(3) super YM, and N = 4 SU (2) super YM at τ = i. We also introduce an analogous construction in (2+1)d, and give a number of examples in Chern-Simons-matter theories.

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“…There has been a lot of progress recently on some aspects of strongly coupled field theory dynamics, and, in particular, gauge theories with adjoint matter in 3 and 4 space-time dimensions. See for instance [2][3][4][5][6][7][8][9][10][11][12][13][14] and references therein.…”

Section: Jhep03(2021)103mentioning

confidence: 99%

“…Computing the partition function with some fixed discrete theta angle is tantamount to projecting on one of the N universes. 11 This allows us a new point of view on the question of confinement or deconfinement. Instead of talking about large rectangular line operators, we can compare the partition functions directly: Z p /Z 0 .…”

Section: Jhep03(2021)103mentioning

confidence: 99%

Symmetries and strings of adjoint QCD2

Komargodski

Ohmori

Roumpedakis

et al. 2021

J. High Energ. Phys.

197

149

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We revisit the symmetries of massless two-dimensional adjoint QCD with gauge group SU(N). The dynamics is not sufficiently constrained by the ordinary symmetries and anomalies. Here we show that the theory in fact admits ∼ 22N non-invertible symmetries which severely constrain the possible infrared phases and massive excitations. We prove that for all N these new symmetries enforce deconfinement of the fundamental quark. When the adjoint quark has a small mass, m ≪ gYM, the theory confines and the non-invertible symmetries are softly broken. We use them to compute analytically the k-string tension for N ≤ 5. Our results suggest that the k-string tension, Tk, is Tk ∼ |m| sin(πk/N) for all N. We also consider the dynamics of adjoint QCD deformed by symmetric quartic fermion interactions. These operators are not generated by the RG flow due to the non-invertible symmetries, thus violating the ordinary notion of naturalness. We conjecture partial confinement for the deformed theory by these four-fermion interactions, and prove it for SU(N ≤ 5) gauge theory. Comparing the topological phases at zero and large mass, we find that a massless particle ought to appear on the string for some intermediate nonzero mass, consistent with an emergent supersymmetry at nonzero mass. We also study the possible infrared phases of adjoint QCD allowed by the non-invertible symmetries, which we are able to do exhaustively for small values of N. The paper contains detailed reviews of ideas from fusion category theory that are essential for the results we prove.

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Phases of two adjoints QCD3 and a duality chain

Cited by 17 publications

References 90 publications

Sequential deconfinement in 3d $$ \mathcal{N} $$ = 2 gauge theories

Sequential deconfinement in 3d $$ \mathcal{N} $$ = 2 gauge theories

Kramers-Wannier-like duality defects in (3+1)d gauge theories

Symmetries and strings of adjoint QCD2

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