Dynamics of two-dimensional N = 2 , 2 $$ \mathcal{N}=\left(2,\;2\right) $$ theories with semichiral superfields I

Nian, Jun; Zhang, Xinyu

doi:10.1007/jhep11(2015)047

Cited by 7 publications

(5 citation statements)

References 36 publications

(89 reference statements)

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“…Since our new GLSMs are much simpler than the previous one [33,46], then it would be possible to evaluate the instanton calculus by the localization techniques (see, for instance, the pioneer works [52,53,54,55,56,57,48,58] and many others). The localization with semi-chiral superfields [59,60] would be also helpful to analyze our semi-doubled GLSM.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Semi-doubled gauged linear sigma model for five-branes of codimension two

Kimura

Sasaki

Shiozawa

2018

J. High Energ. Phys.

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We establish a double dualization in two-dimensional supersymmetric gauge theory. We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. In the IR regime, the GLSM provides a string sigma model whose target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic 5 2 2brane. All of them are five-branes of codimension two and are related by T-duality. This model is a natural extension of the GLSM proposed by Tong which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of codimension three. This is also regarded as an alternative system of the GLSM for exotic five-branes proposed by the present authors. In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit. This indicates that the T-duality transformations at finite gauge couplings can be performed in terms of reducible superfields in the same way as irreducible (twisted) chiral superfields. Furthermore, we study quantum vortex corrections to the GLSM at the UV level. In the IR limit, these corrections are mapped to string worldsheet instanton corrections to the five-branes of codimension two. The result completely agrees with those in double field theory analysis.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Semi-doubled gauged linear sigma model for five-branes of codimension two

Kimura

Sasaki

Shiozawa

2018

J. High Energ. Phys.

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“…Another interesting problem is the study of quantum aspects of two-dimensional gauge theories with semichiral multiplets [8,36,37]. Only some limited results in this direction are available [57], but the structure of quantum corrections to the generalized Kähler potential remains unknown.…”

Section: Discussionmentioning

confidence: 99%

Low-energy effective action in two-dimensional SQED: a two-loop analysis

Samsonov¹

2017

J. High Energ. Phys.

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We study two-loop quantum corrections to the low-energy effective actions in N = (2, 2) and N = (4, 4) SQED on the Coulomb branch. In the latter model, the low-energy effective action is described by a generalized Kähler potential which depends on both chiral and twisted chiral superfields. We demonstrate that this generalized Kähler potential is one-loop exact and corresponds to the N = (4, 4) sigma-model with torsion presented by Roček, Schoutens and Sevrin [1]. In the N = (2, 2) SQED, the effective Kähler potential is not protected against higher-loop quantum corrections. The two-loop quantum corrections to this potential and the corresponding sigma-model metric are explicitly found.

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“…1 Notice that the elliptic genus can suffer from a holomorphic anomaly for noncompact models. See [131][132][133] for examples with N = (2, 2) supersymmetry.…”

Section: Future Directionsmentioning

confidence: 99%

Tetrahedron instantons

Pomoni,

Yan,

Zhang

2021

Preprint

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We introduce and study tetrahedron instantons, which can be realized in string theory by D1-branes probing a configuration of intersecting D7-branes in flat spacetime with a nonzero constant background B-field. Physically they capture instantons on C 3 in the presence of the most general intersecting codimention-two supersymmetric defects. Moreover, we construct the tetrahedron instantons as particular solutions of general instanton equations in noncommutative field theory. We analyze the moduli space of tetrahedron instantons and discuss the geometric interpretations. We compute the instanton partition function both via the equivariant localization on the moduli space of tetrahedron instantons and via the elliptic genus of the worldvolume theory on the D1-branes probing the intersecting D7-branes, obtaining the same result. The instanton partition function of the tetrahedron instantons lies between the higher-rank Donaldson-Thomas invariants on C 3 and the partition function of the magnificent four model, which is conjectured to be the mother of all instanton partition functions. Finally, we show that the instanton partition function admits a free field representation. 8 Future directions 38 A Open strings in the presence of the background B-field 41 B Two-dimensional supersymmetric gauge theory 44 B.1 N = (2, 2) supersymmetry 44 B.2 N = (0, 2) supersymmetry 46 C Elliptic genus of N = (0, 2) theories 48 D Jeffrey-Kirwan residue formula 50

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Dynamics of two-dimensional N = 2 , 2 $$ \mathcal{N}=\left(2,\;2\right) $$ theories with semichiral superfields I

Cited by 7 publications

References 36 publications

Semi-doubled gauged linear sigma model for five-branes of codimension two

Semi-doubled gauged linear sigma model for five-branes of codimension two

Low-energy effective action in two-dimensional SQED: a two-loop analysis

Tetrahedron instantons

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