S-duality and 2d topological QFT

Gadde, Abhijit; Pomoni, Elli; Rastelli, Leonardo; Razamat, Shlomo S.

doi:10.1007/jhep03(2010)032

Cited by 218 publications

(376 citation statements)

References 54 publications

Supporting

Mentioning

365

Contrasting

Unclassified

Order By: Relevance

“…We show that it shares a lot of properties with the superconformal index of N = 2 4d theories [4][5][6][7]. Similarly to the 4d case, the index of "2d N = (0, 4) theories of class S" exhibits a 2d TQFT structure.…”

Section: Jhep03(2016)185mentioning

confidence: 86%

(0,4) dualities

Putrov

Song

Yan

2016

J. High Energ. Phys.

122

View full text Add to dashboard Cite

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.

show abstract

Section: Jhep03(2016)185mentioning

confidence: 86%

(0,4) dualities

Putrov

Song

Yan

2016

J. High Energ. Phys.

122

View full text Add to dashboard Cite

show abstract

“…As observed in [17], the superconformal indices of quiver theories represent partition functions of solvable two-dimensional lattice models. An explanation of this fact was given in [18] through the relation to two-dimensional topological field theories of [19]. A recent survey of this subject with references to relevant papers is given in [20].…”

Section: Jhep07(2017)041mentioning

confidence: 99%

“…Γ rt 2ŝ−4 I s = ŝt −1 3 2 , r, y, z + I s = ŝ −1t 3 2 , r, y, z 19) where Γ(z) := Γ(z; p, q) and I(s, r, y, z) is the index of a weakly coupled SU(3) theory with six hypermultiplets, and is given by…”

Section: N = 2 Strongly Coupled E 6 Scftmentioning

confidence: 99%

See 1 more Smart Citation

Supersymmetric Casimir energy and S L 3 ℤ $$ \mathrm{S}\mathrm{L}\left(3,\mathrm{\mathbb{Z}}\right) $$ transformations

Brünner

Regalado

Spiridonov

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

We provide a recipe to extract the supersymmetric Casimir energy of theories defined on primary Hopf surfaces directly from the superconformal index. It involves an SL(3, Z) transformation acting on the complex structure moduli of the background geometry. In particular, the known relation between Casimir energy, index and partition function emerges naturally from this framework, allowing rewriting of the latter as a modified elliptic hypergeometric integral. We show this explicitly for N = 1 SQCD and N = 4 supersymmetric Yang-Mills theory for all classical gauge groups, and conjecture that it holds more generally. We also use our method to derive an expression for the Casimir energy of the nonlagrangian N = 2 SCFT with E 6 flavour symmetry. Furthermore, we predict an expression for Casimir energy of the N = 1 SP(2N) theory with SU(8) × U(1) flavour symmetry that is part of a multiple duality network, and for the doubled N = 1 theory with enhanced E 7 flavour symmetry.

show abstract

“…1 Incidentally, as a precursor of connections to Yang-Mills theory, the appearance of U (N ) matrix integrals inspired [22] to speculate that TBL is related to QCD in two dimensions. 2 It is interesting to note that recent studies of N = 2 dualities utilize Macdonald polynomials, which are generalizations of Schur polynomials [26,27]. Moreover, in some cases the superconformal index can be reduced to the Hilbert series [28].…”

Section: Introductionmentioning

confidence: 99%