2D Seiberg-like dualities for orthogonal gauge groups

Kim, Hyungchul; Kim, Sung-Joon; Park, Jaemo

doi:10.1007/jhep10(2019)079

Cited by 7 publications

(7 citation statements)

References 30 publications

(88 reference statements)

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“…Along the development of supersymmetric localization technique, the exact computation of a supersymmetric partition function has been a powerful tool for testing a conjectural duality . The superconformal index, for example, is defined as the supersymmetric partition function on

S^{d} \times S^{1}

, which can be exactly computed using the localization technique .…”

Section: Introductionmentioning

confidence: 99%

On 3d Seiberg‐Like Dualities with Two Adjoints

Hwang

Kim

Park

2018

Fortschritte der Physik

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We study N=2 3‐d theories with two adjoints and fundamental flavors along with D‐type superpotential. For superpotential WDn+2= Tr false(Xn+1+XY2false) with n odd, we propose the 3d dualities, which we motivate from the dimensional reduction of the related 4‐d theory. We consider the factorization of the superconformal index and match precisely the vortex partition function of the dual pairs. In the language of the Higgs branch localization, the nonzero contribution of the vortex partition function comes from the discrete Higgs vacua of the massively deformed theory, which precisely matches with that of the dual theory. We also clarify the monopole operators parametrizing the Coulomb branch of such theories. Existence of independent monopole operators of charge 2 is crucial to describe the Coulomb branch.

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S^{d} \times S^{1}

, which can be exactly computed using the localization technique .…”

Section: Introductionmentioning

confidence: 99%

On 3d Seiberg‐Like Dualities with Two Adjoints

Hwang

Kim

Park

2018

Fortschritte der Physik

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“…The papers [3][4][5] have looked at IR behavior of two-dimensional pure (2,2) supersymmetric gauge theories with non-simply-connected gauge groups G/Γ. (See also [12,27,28] for computations of elliptic genera in some examples related to Hori's dualities [29].) Briefly, these papers found…”

Section: Non-simply-connected Gmentioning

confidence: 99%

Elliptic genera of pure gauge theories in two dimensions with semisimple non-simply-connected gauge groups

Eager,

Sharpe

2020

Preprint

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In this paper we describe a systematic method to compute elliptic genera of (2,2) supersymmetric gauge theories in two dimensions with gauge group G/Γ (for G semisimple and simply-connected, Γ a subgroup of the center of G) with various discrete theta angles. We apply the technique to examples of pure gauge theories with low-rank gauge groups. Our results are consistent with expectations from decomposition of two-dimensional theories with finite global one-form symmetries and with computations of supersymmetry breaking for some discrete theta angles in pure gauge theories. Finally, we make predictions for the elliptic genera of all the other remaining pure gauge theories by applying decomposition and matching to known supersymmetry breaking patterns.

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“…The duality conjectures for the orthogonal and symplectic theories were originally based on 't Hooft anomaly matching, the number of supersymmetric ground states, and a comparison of the (c, c) chiral ring of gauge invariant polynomials of the chiral superfields, and the (a, c) chiral ring of gauge invariant polynomials of the twisted chiral superfield (the vector superfield) [4]. These dualities were also tested by comparing the elliptic genus in [14], as well as correlation functions of Coulomb branch operators in [15].…”

Section: Field Theorymentioning

confidence: 99%

Branes and 2d $$ \mathcal{N} $$ = (2, 2) gauge theories with orthogonal and symplectic groups

Bergman¹,

Avraham²

2018

J. High Energ. Phys.

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We construct two-dimensional N = (2, 2) supersymmetric gauge theories with orthogonal and symplectic groups using branes and orientifold planes in Type IIA string theory. A number of puzzles regarding the construction, including the effect of exchanging NS5-branes on an orientifold 2-plane, are resolved by lifting the configurations to M theory. The low energy properties and conjectured dualities of these theories are reproduced in the M-brane description. A similar construction of N = (4, 4) theories with orthogonal and symplectic groups leads to new duality conjectures for these theories.

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2D Seiberg-like dualities for orthogonal gauge groups

Cited by 7 publications

References 30 publications

On 3d Seiberg‐Like Dualities with Two Adjoints

On 3d Seiberg‐Like Dualities with Two Adjoints

Elliptic genera of pure gauge theories in two dimensions with semisimple non-simply-connected gauge groups

Branes and 2d $$ \mathcal{N} $$ = (2, 2) gauge theories with orthogonal and symplectic groups

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