Little string origin of surface defects

Haouzi, Nathan; Schmid, Christian

doi:10.1007/jhep05(2017)082

Cited by 15 publications

(24 citation statements)

References 53 publications

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“…However, it would be nice to have a finer classification of the defects. It turns out that there is an elegant answer to this problem, which was analyzed when g = ADE in [31,32]; we now extend the analysis to the case where g is an arbitrary simple Lie algebra.…”

Section: Jhep06(2021)092mentioning

confidence: 99%

“…Most notably, an essential feature is that when m s → ∞, the Coulomb branch of an ADE defect theory T 4d flows to a nilpotent orbit of g [31,32]. This can be for instance argued based on the analysis of the Seiberg-Witten curve of the theories.…”

Section: Jhep06(2021)092mentioning

confidence: 99%

“…13 For a related discussion in the context of the codimension-two defects of 4d N = 4 SYM, see the work of Gukov and Witten [54]; there, defects are described as the sigma model T * (G/P ), with P a parabolic subgroup of the Lie group G. Our discussion is related to that setup by further compactifying the little string on a torus [31], and then taking the limit ms → ∞.…”

Section: Jhep06(2021)092mentioning

confidence: 99%

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The ABCDEFG of little strings

Haouzi

Kozçaz

2021

J. High Energ. Phys.

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Starting from type IIB string theory on an ADE singularity, the (2, 0) little string arises when one takes the string coupling gs to 0. In this setup, we give a unified description of the codimension-two defects of the little string, labeled by a simple Lie algebra $$ \mathfrak{g} $$ g . Geometrically, these are D5 branes wrapping 2-cycles of the singularity, subject to a certain folding operation when the algebra is non simply-laced. Equivalently, the defects are specified by a certain set of weights of $$ {}^L\mathfrak{g} $$ L g , the Langlands dual of $$ \mathfrak{g} $$ g . As a first application, we show that the instanton partition function of the $$ \mathfrak{g} $$ g -type quiver gauge theory on the defect is equal to a 3-point conformal block of the $$ \mathfrak{g} $$ g -type deformed Toda theory in the Coulomb gas formalism. As a second application, we argue that in the (2, 0) CFT limit, the Coulomb branch of the defects flows to a nilpotent orbit of $$ \mathfrak{g} $$ g .

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Section: Jhep06(2021)092mentioning

confidence: 99%

Section: Jhep06(2021)092mentioning

confidence: 99%

Section: Jhep06(2021)092mentioning

confidence: 99%

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The ABCDEFG of little strings

Haouzi

Kozçaz

2021

J. High Energ. Phys.

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“…Little string theories are a class of interacting, non-local, ultraviolet complete quantum theories in six dimensions (or lower), which nevertheless have a local energy-momentum tensor. These theories have recently attracted a lot of renewed attention from various viewpoints [1][2][3][4][5][6][7][8][9][10][11]. They can be obtained from string theory through a particular decoupling limit that preserves numerous 'stringy' properties, but suppresses gravitational interactions.…”

Section: Introductionmentioning

confidence: 99%

Dual little strings from F-theory and flop transitions

Hohenegger

Iqbal

Rey

2017

J. High Energ. Phys.

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A particular two-parameter class of little string theories can be described by M parallel M5-branes probing a transverse affine A N −1 singularity. We previously discussed the duality between the theories labelled by (N, M ) and (M, N ). In this work, we propose that these two are in fact only part of a larger web of dual theories. We provide evidence that the theories labelled by (N, M ) and ( N M k , k) are dual to each other, where k = gcd(N, M ). To argue for this duality, we use a geometric realization of these little string theories in terms of F-theory compactifications on toric, non-compact Calabi-Yau threefolds X N,M which have a double elliptic fibration structure. We show explicitly for a number of examples that X N M/k,k is part of the extended moduli space of X N,M , i.e. the two are related through symmetry transformations and flop transitions. By working out the full duality map, we provide a simple check at the level of the free energy of little string theories.

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“…The third dimensional reduction that is relevant for the paper is the one applicable to the construction of class S[j] theories using a (partially twisted) compactification of the six dimensional theory X[j] on a Riemann surface C g,n of genus g with n punctures [8,9]. The third reduction is also the setting for the AGT correspondence [12] which, among other things, sets up a map between codimension two defects and certain primaries of Toda[ j] theories [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Masses, Sheets and Rigid SCFTs

Balasubramanian¹,

Distler²

2018

Preprint

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We study mass deformations of certain three dimensional N 4 Superconformal Field Theories (SCFTs) that have come to be called T ρ [G] theories. These are associated to tame defects of the six dimensional (0, 2) SCFT X[j] for j A, D, E. We describe these deformations using a refined version of the theory of sheets, a subject of interest in Geometric Representation Theory. In mathematical terms, we parameterize local mass-like deformations of the tamely ramified Hitchin integrable system and identify the subset of the deformations that do admit an interpretation as a mass deformation for the theories under consideration. We point out the existence of non-trivial Rigid SCFTs among these theories. We classify the Rigid theories within this set of SCFTs and give a description of their Higgs and Coulomb branches. We then study the implications for the endpoints of RG flows triggered by mass deformations in these 3d N 4 theories. Finally, we discuss connections with the recently proposed idea of Symplectic Duality and describe some conjectures about its action.

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Little string origin of surface defects

Cited by 15 publications

References 53 publications

The ABCDEFG of little strings

The ABCDEFG of little strings

Dual little strings from F-theory and flop transitions

Masses, Sheets and Rigid SCFTs

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