Describing codimension two defects

Balasubramanian, Aswin

doi:10.1007/jhep07(2014)095

Cited by 11 publications

(21 citation statements)

References 102 publications

(265 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such a map is well known in the mathematical literature [42,43] and we discuss it below. It has also explicitly appeared in the physical literature in the context of the (2, 0) theory compactified on Riemann surfaces with punctures [44,45].…”

Section: Jhep01(2015)150mentioning

confidence: 99%

T ρ σ (G) theories and their Hilbert series

Cremonesi

Hanany

Mekareeya

et al. 2015

J. High Energ. Phys.

181

View full text Add to dashboard Cite

Abstract:We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d N = 4 superconformal gauge theories T σ ρ (G) corresponding to a set of D3 branes ending on NS5 and D5-branes, with or without O3 planes. Here G is a classical group, σ is a partition of G and ρ a partition of the dual group G ∨ . In deriving such a formula we make use of the recently discovered formula for the Hilbert series of the quantum Coulomb branch of N = 4 superconformal theories. The result can be expressed in terms of a generalization of a class of symmetric functions, the Hall-Littlewood polynomials, and can be interpreted in mathematical language in terms of localization. We mainly consider the case G = SU(N ) but some interesting results are also given for orthogonal and symplectic groups.

show abstract

Section: Jhep01(2015)150mentioning

confidence: 99%

T ρ σ (G) theories and their Hilbert series

Cremonesi

Hanany

Mekareeya

et al. 2015

J. High Energ. Phys.

181

View full text Add to dashboard Cite

show abstract

“…Here, we need a map ∨ : ρ → ρ ∨ that takes partitions of G to partitions of the GNO dual G. Such a map is known [8,[42][43][44] and is named Barbasch-Vogan map, see also [6, sections 4.3-4.4]. For G = SU(n), one simply has ρ ∨ = ρ T ; whereas the other classical groups have slightly more involved prescriptions.…”

Section: Coulomb Branch Realisations Of Nilpotent Orbit Closuresmentioning

confidence: 99%

Resolutions of nilpotent orbit closures via Coulomb branches of 3-dimensional $$ \mathcal{N}=4 $$ theories

Hanany

Sperling

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

The Coulomb branches of certain 3-dimensional N = 4 quiver gauge theories are closures of nilpotent orbits of classical or exceptional Lie algebras. The monopole formula, as Hilbert series of the associated Coulomb branch chiral ring, has been successful in describing the singular hyper-Kähler structure. By means of the monopole formula with background charges for flavour symmetries, which realises real mass deformations, we study the resolution properties of all (characteristic) height two nilpotent orbits. As a result, the monopole formula correctly reproduces (i) the existence of a symplectic resolution, (ii) the form of the symplectic resolution, and (iii) the Mukai flops in the case of multiple resolutions. Moreover, the (characteristic) height two nilpotent orbit closures are resolved by cotangent bundles of Hermitian symmetric spaces and the unitary Coulomb branch quiver realisations exhaust all the possibilities.

show abstract

“…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%

“…In the limit where mass parameters are turned off, a pair of nilpotent orbits (O N , O H ) offer an efficient description of the defect [11,14]. As we review in §2.1, the nilpotent orbit O N , the Nahm label, is a nilpotent in the Lie algebra g while O H , the Hitchin label, is a nilpotent orbit in g ∨ .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Masses, Sheets and Rigid SCFTs

Balasubramanian¹,

Distler²

2018

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Describing codimension two defects

Cited by 11 publications

References 102 publications

T ρ σ (G) theories and their Hilbert series

T ρ σ (G) theories and their Hilbert series

Resolutions of nilpotent orbit closures via Coulomb branches of 3-dimensional $$ \mathcal{N}=4 $$ theories

Masses, Sheets and Rigid SCFTs

Contact Info

Product

Resources

About