Notes on nonabelian (0,2) theories and dualities

Jia, Bei; Sharpe, Eric; Wu, Ruoxu

doi:10.1007/jhep08(2014)017

Cited by 33 publications

(57 citation statements)

References 126 publications

(376 reference statements)

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“…They were studied from the mathematical perspective [11][12][13][14][15][16] as well as from the standpoint of physical applications (see [17] and extensive references therein). The (0, 2) connected model we will construct has the bosonic target space CP(N 1 −1)×CP(N 2 −1)× ... ×CP(N n −1) .…”

Section: Introductionmentioning

confidence: 99%

Making supersymmetric connectedN=(0,2)sigma models

Shifman¹,

Vainshtein²,

Yung³

2015

Phys. Rev. D

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We construct "connected" (0,2) sigma models starting from n copies of (2,2) CP(N − 1) models. General aspects of models of this type (known as T + O deformations) had been previously studied in the context of heterotic string theories. Our construction presents a natural generalization of the non-minimally deformed (2,2) model with an extra (0,2) fermion superfield on tangent bundle T CP(N −1)×C 1 . We had thoroughly analyzed the latter model previously, found the exact β function and a spontaneous breaking of supersymmetry. In contrast, in certain connected sigma models the spontaneous breaking of supersymmetry disappears. We study the connected sigma models in the large-N limit finding supersymmetric vacua and determining the particle spectrum. While the Witten index vanishes in all the models under consideration, in these special cases of connected models one can use a permutation symmetry to define a modification of the Witten index which does not vanish. This eliminates the spontaneous breaking of supersymmetry. We then examine the exact β functions of our connected (0,2) sigma models.

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Section: Introductionmentioning

confidence: 99%

Making supersymmetric connectedN=(0,2)sigma models

Shifman¹,

Vainshtein²,

Yung³

2015

Phys. Rev. D

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“…In addition, new exact expressions were also obtained for correlation functions of certain half-BPS local operators in two-dimensional non-abelian gauge theories [10][11][12], generalizing the seminal results of [13][14][15]. See also [16][17][18][19][20][21][22][23][24][25][26][27][28] for related works.…”

Section: Introductionmentioning

confidence: 77%

“…4 The coupling of the GLSM to curved space is conveniently encoded in the "effective dilaton" Ω = Ω(σ), which is the bottom component of a twisted chiral multiplet. The supersymmetric couplings are encoded in the "improvement Lagrangian" of [30] for Ω, which gives: 19) when evaluated on the A-twist background. Classically, we may introduce a constant term: 20) which acts as a "complexified FI parameter" for U(1) R .…”

Section: Jhep08(2017)101mentioning

confidence: 99%

A-twisted correlators and Hori dualities

Closset

Mekareeya

Park

2017

J. High Energ. Phys.

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The Hori-Tong and Hori dualities are infrared dualities between twodimensional gauge theories with N = (2, 2) supersymmetry, which are reminiscent of four-dimensional Seiberg dualities. We provide additional evidence for those dualities with U(N c ), USp(2N c ), SO(N ) and O(N ) gauge groups, by matching correlation functions of Coulomb branch operators on a Riemann surface Σ g , in the presence of the topological A-twist. The O(N ) theories studied, denoted by O + (N ) and O − (N ), can be understood as Z 2 orbifolds of an SO(N ) theory. The correlators of these theories on Σ g with g > 0 are obtained by computing correlators with Z 2 -twisted boundary conditions and summing them up with weights determined by the orbifold projection.

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“…the review [19]. As far as heterotic (0,2) models are concerned, till recently only some general aspects have been discussed [20,21,22,23,24,25]. However, emergence of these theories on the string world sheet gave a strong impetus for further studies, see e.g.…”

Section: Supersymmetry In the Bulk And Bps Stringsmentioning

confidence: 99%

“…4 Previously they were studied mainly from the mathematical perspective [20,21,23,24]. They can be divided into two classes: the so-called minimal and nonminimal models.…”

Section: Heterotic Modelsmentioning

confidence: 99%

Two-Dimensional Sigma Models Related to Non-Abelian Strings in Super-Yang-Mills

Shifman

Yung

2014

Pomeranchuk 100

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We review diverse two-dimensional models emerging on the world sheet of non-Abelian strings in the low-energy limit. Non-Abelian strings are supported in a class of four-dimensional bulk theories with or without supersymmetry. In supersymmetric bulk theories we are mostly interested in BPS-saturated strings. Some of these two-dimensional models, in particular, heterotic models, were scarcely studied in the past, if at all. Our main emphasis is on the heterotic N = (0, 2) models. We describe their large-N solution. We briefly comment on N = (0, 1) models although so far they are not obtained on the the world sheet of non-Abelian strings.

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Notes on nonabelian (0,2) theories and dualities

Cited by 33 publications

References 126 publications

Making supersymmetric connectedN=(0,2)sigma models

Making supersymmetric connectedN=(0,2)sigma models

A-twisted correlators and Hori dualities

Two-Dimensional Sigma Models Related to Non-Abelian Strings in Super-Yang-Mills

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