Fivebranes and 4-Manifolds

Gadde, Abhijit; Gukov, Sergei; Putrov, Pavel

doi:10.1007/978-3-319-43648-7_7

Cited by 178 publications

(415 citation statements)

References 136 publications

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“…Geometrically the twist corresponds to realizing the 4-manifold wrapped by the fivebranes as a coassociative cycle in a 7-dimensional manifold with G 2 holonomy embedded into the M-theory space-time. General features of the correspondence M 4 → T g [M 4 ] and some particular examples were considered in [10,11]. However identifying T g [M 4 ] for a generic M 4 and g is still a very hard task.…”

Section: Jhep03(2016)185mentioning

confidence: 99%

“…A particular class of such 4-manifolds can be realized by considering holomorphic Lefschetz fibrations, that is holomorphic fibrations of a complex curve with a fixed genus over another curve with possible simple singular fibers. In [12] one M5-brane on such 4-manifolds was considered.…”

Section: Jhep03(2016)185mentioning

confidence: 99%

“…So far in most of the literature the VW partition function was studied on a particular, usually closed 4-manifold. Some of the progress in understanding of VW TQFT as a functor was made in [10], where the gluing procedure of certain 4-manifolds was considered.…”

Section: Jhep03(2016)185mentioning

confidence: 99%

“…9 Cf. appendix C. 10 In other words, f is a section of a line bundle over M flat (T 2 τ , SU(2)) with divisor −m · pt and therefore it must have at least m poles.…”

Section: Jhep03(2016)185mentioning

confidence: 99%

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(0,4) dualities

Putrov

Song

Yan

2016

J. High Energ. Phys.

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122

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We study a class of two-dimensional N = (0, 4) quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d N = 2 theories of class S, labelled by a Riemann surface C. The dual descriptions arise from various pair-of-pants decompositions, that involve an analog of the T N theory. Especially, we find the superconformal indices of such theories can be written in terms of a topological field theory on C. We interpret this class of SCFTs as the ones coming from compactifying 6d N = (2, 0) theory on CP 1 ×C. Moreover, some new dualities of (0, 2) and (2, 2) theories are also discussed.

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Section: Jhep03(2016)185mentioning

confidence: 99%

Section: Jhep03(2016)185mentioning

confidence: 99%

Section: Jhep03(2016)185mentioning

confidence: 99%

“…9 Cf. appendix C. 10 In other words, f is a section of a line bundle over M flat (T 2 τ , SU(2)) with divisor −m · pt and therefore it must have at least m poles.…”

Section: Jhep03(2016)185mentioning

confidence: 99%

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(0,4) dualities

Putrov

Song

Yan

2016

J. High Energ. Phys.

Self Cite

122

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“…These theories provide a powerful organizing principle for lower-dimensional supersymmetric dynamics. From their existence one can infer a vast landscape of supersymmetric field theories in various dimensions and rationalize many deep, nonperturbative dualities that act within this landscape (see, e.g., [1][2][3][4][5]). Despite their increasingly central role, the (2, 0) theories have proved stubbornly resistant to study by traditional quantum field theory techniques.…”

Section: Introductionmentioning

confidence: 99%

The (2, 0) superconformal bootstrap

et al. 2016

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We develop the conformal bootstrap program for six-dimensional conformal field theories with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward identities and describe the superconformal block decomposition of this correlator. We apply numerical bootstrap techniques to derive bounds on operator product expansion (OPE) coefficients and scaling dimensions from the constraints of crossing symmetry and unitarity. We also derive analytic results for the large spin spectrum using the light cone expansion of the crossing equation. Our principal result is strong evidence that the A 1 theory realizes the minimal allowed central charge (c ¼ 25) for any interacting (2, 0) theory. This implies that the full stress tensor four-point function of the A 1 theory is the unique unitary solution to the crossing symmetry equation at c ¼ 25. For this theory, we estimate the scaling dimensions of the lightest unprotected operators appearing in the stress tensor operator product expansion. We also find rigorous upper bounds for dimensions and OPE coefficients for a general interacting (2, 0) theory of central charge c. For large c, our bounds appear to be saturated by the holographic predictions obtained from eleven-dimensional supergravity.

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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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Fivebranes and 4-Manifolds

Cited by 178 publications

References 136 publications

(0,4) dualities

(0,4) dualities

The (2, 0) superconformal bootstrap

On 3d Seiberg‐Like Dualities with Two Adjoints

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