Miura operators, degenerate fields and the M2-M5 intersection

Gaiotto, Davide; Rapčák, Miroslav

doi:10.1007/jhep01(2022)086

Cited by 12 publications

(5 citation statements)

References 105 publications

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“…We will derive the action of the chiral algebra elements on modules corresponding to 6d holomorphic Wilson lines using the technique of Koszul duality; for related analyses of modules by way of Koszul duality, 13 see e.g. [47][48][49]. Here, we will describe the modules realized by Wilson lines from both 3d and 6d realizations of these chiral algebras; in brief, 11 It is worth noting that the current J is not a current for gauge transformations.…”

Section: Wilson Line Modules From Koszul Dualitymentioning

confidence: 99%

Twistorial monopoles & chiral algebras

Garner,

Paquette

2023

J. High Energ. Phys.

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We initiate the study of how the insertion of magnetically charged states in 4d self-dual gauge theories impacts the 2d chiral algebras supported on the celestial sphere at asymptotic null infinity, from the point of view of the 4d/2d twistorial correspondence introduced by Costello and the second author. By reducing the 6d twistorial theory to a 3d holomorphic-topological theory with suitable boundary conditions, we can motivate certain non-perturbative enhancements of the celestial chiral algebra corresponding to extensions by modules arising from 3d boundary monopole operators. We also identify the insertion of 4d (non-abelian) monopoles with families of spectral flow automorphisms of the celestial chiral algebra.

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Section: Wilson Line Modules From Koszul Dualitymentioning

confidence: 99%

Twistorial monopoles & chiral algebras

Garner,

Paquette

2023

J. High Energ. Phys.

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“…For example, the work of Gaiotto-Rapcak identified a large family of "corner VOAs" 𝑌 (𝐿, 𝑀 , 𝑁 ) [Ψ] at interfaces of 1 2 -BPS boundary conditions in twisted N = 4 super Yang-Mills induced from junctions of elementary 5-branes in IIB string theory [118]. String duality relates this setup to configurations of wrapped D-branes in type IIA string theory on Calabi-Yau threefolds, and these VOAs are also expected to describe the algebra of local operators on a certain stack of M5 branes in an Omega-deformed M-theory [119]. The corner VOAs act [120] on the equivariant cohomology of moduli spaces of spiked instantons discovered by Nekrasov [121][122][123][124][125][126]; in turn, this may be viewed as a generalization of the action of the W-algebra 𝑊 Ψ 𝑁 = 𝑌 (0,0, 𝑁 ) [Ψ] on (the equivariant cohomology of) 𝑈 (𝑁) instanton moduli spaces [127,128] predicted by the AGT conjecture [129].…”

Section: Homotopy Actions Of Vertex Algebras and Poisson Vertex Algebrasmentioning

confidence: 99%

TASI Lectures on the Mathematics of String Dualities

Garner¹,

Paquette²

2022

Preprint

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In these lecture proceedings, we describe some of the fundamental mathematical concepts that underlie supersymmetric string theory and field theory, and their role in describing and testing dualities. In particular, we provide a pedagogical introduction to topological and holomorphic twisting, descent, and higher algebraic structures. Our primary examples are worldsheet theories of topological strings, namely the A-and B-models, which we briefly review. These proceedings are based on lectures given by the second author at TASI 2021.

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“…We hope to analyze these boundary conditions and perhaps relate them to twisted holographic studies of, e.g. , [95][96][97][98] in the future.…”

Section: Generalized Gaiotto-witten Theoriesmentioning

confidence: 99%

Vertex Operator Algebras and Topologically Twisted Chern-Simons-Matter Theories

Garner¹

2022

Preprint

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We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of line operators of the 3d bulk. Our main examples come from the topological A and B twists of the exotic N = 4 Chern-Simons-matter theories of Gaiotto-Witten, but we show that there is a topological "A-twist" for a much larger class of N = 4 theories. We illustrate a particular example of this new class of theories that admits the p = 2 singlet VOA M(2) on its boundary and comment on its relation to the ψ → ∞ limit of the Gaiotto-Rapčák corner VOA Y 1,1,0 [ψ].

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Miura operators, degenerate fields and the M2-M5 intersection

Cited by 12 publications

References 105 publications

Twistorial monopoles & chiral algebras

Twistorial monopoles & chiral algebras

TASI Lectures on the Mathematics of String Dualities

Vertex Operator Algebras and Topologically Twisted Chern-Simons-Matter Theories

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