Miura operators, degenerate fields and the M2-M5 intersection

Gaiotto, Davide; Rapčák, Miroslav

doi:10.48550/arxiv.2012.04118

Cited by 9 publications

(35 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This method has been used to compute the ground state charge function for non-trivial representations of the affine Yangian of gl 1 , and it works for ordinary representations [9,10], the conjugate representations [40] (the so-called high-wall representations that are relevant for the counting of the PT invariants [40,41]), and even the representations in the twisted sectors [23]. (Note that since this method only works for those representation whose ground state only has "removable" atoms at infinity, we cannot use it to study e.g.…”

Section: Representations From Subcrystalsmentioning

confidence: 99%

Shifted Quiver Yangians and Representations from BPS Crystals

Galakhov,

Li,

Yamazaki

2021

Preprint

View full text Add to dashboard Cite

We introduce a class of new algebras, the shifted quiver Yangians, as the BPS algebras for type IIA string theory on general toric Calabi-Yau three-folds. We construct representations of the shifted quiver Yangian from general subcrystals of the canonical crystal. We derive our results via equivariant localization for supersymmetric quiver quantum mechanics for various framed quivers, where the framings are determined by the shape of the subcrystals.Our results unify many known BPS state counting problems, including open BPS counting, non-compact D4-branes, and wall crossing phenomena, simply as different representations of the shifted quiver Yangians. Furthermore, most of our representations seem to be new, and this suggests the existence of a zoo of BPS state counting problems yet to be studied in detail.

show abstract

Section: Representations From Subcrystalsmentioning

confidence: 99%

Shifted Quiver Yangians and Representations from BPS Crystals

Galakhov,

Li,

Yamazaki

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Additional structures, such as coproducts, on this category can also be obtained by fusing lines together, fusing defects together, and so on. In a set-up from a twisted version of M-theory, including intersections of line/surface defects arising from twisted M2/M5 branes, these questions were explored in detail [GR20].…”

Section: Conclusion and Further Directionsmentioning

confidence: 99%

Koszul duality in quantum field theory

Paquette¹,

Williams²

2021

Preprint

View full text Add to dashboard Cite

In this article, we introduce basic aspects of the algebraic notion of Koszul duality for a physics audience. We then review its appearance in the physical problem of coupling QFTs to topological line defects, and illustrate the concept with some examples drawn from twists of various simple supersymmetric theories. Though much of the content of this article is well-known to experts, the presentation and examples have not, to our knowledge, appeared in the literature before. Our aim is to provide an elementary introduction for those interested in the appearance of Koszul duality in supersymmetric gauge theories with line defects and, ultimately, its generalizations to higher-dimensional defects and twisted holography.

show abstract

“…• Can we identify a supersymmetric or at least stable configuration of the combined system of domain wall, line, and surface defects? [29,30] studied the network of M2 and M5 branes and identified the relevant fusion algebra using free field realization of the M2 and M5 brane algebras and Feynman diagram computation in 5d Chern-Simons theory.…”

Section: Bps Defectmentioning

confidence: 99%

“…One can also consider a network of M2 and M5 branes [23,28] and identify the relevant algebra [29]. Following the idea of [16], where the author beautifully derived the M2 brane algebra from the perturbative computation in the 5d Chern-Simons theory, one can reproduce the algebra associated to the network of M2 and M5 branes [30].…”

mentioning

confidence: 99%

A domain wall in twisted M-theory

Oh,

Zhou

2021

Preprint

View full text Add to dashboard Cite

We study a four-dimensional domain wall in twisted M-theory. The domain wall is engineered by intersecting D6 branes in the type IIA frame. We identify the classical algebra of operators on the domain wall in terms of a higher vertex operator algebra, which describes the holomorphic subsector of a 4d N = 1 supersymmetric field theory. We conjecture the quantum deformation of the classical algebra is isomorphic to the bulk algebra of operators from which we establish twisted holography of the domain wall. Contents

show abstract

Miura operators, degenerate fields and the M2-M5 intersection

Cited by 9 publications

References 0 publications

Shifted Quiver Yangians and Representations from BPS Crystals

Shifted Quiver Yangians and Representations from BPS Crystals

Koszul duality in quantum field theory

A domain wall in twisted M-theory

Contact Info

Product

Resources

About