Elliptic hypergeometry of supersymmetric dualities
From MaRDI portal
Publication:543371
DOI10.1007/s00220-011-1218-9zbMath1225.81137arXiv0910.5944OpenAlexW3104279878MaRDI QIDQ543371
Grigory Vartanov, Vyacheslav P. Spiridonov
Publication date: 17 June 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.5944
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Hypergeometric functions associated with root systems (33C67)
Related Items
The geometry of supersymmetric partition functions, 2d index and surface operators, Introduction to the theory of elliptic hypergeometric integrals, A TQFT of Turaev-Viro type on shaped triangulations, Curious patterns of IR symmetry enhancement, Gustafson-Rakha-type elliptic hypergeometric series, Hilbert series for moduli spaces of two instantons, \(3d\) dualities from \(4d\) dualities, New elliptic solutions of the Yang-Baxter equation, 3d s-confinement for three-index matters, \( \mathcal{N} =1\) deformations and RG flows of \( \mathcal{N} =2\) SCFTs. II: Non-principal deformations, High-temperature asymptotics of supersymmetric partition functions, Deformations of \(W_{A,D,E}\) SCFTs, A journey to 3\(d\): exact relations for adjoint SQCD from dimensional reduction, \( \mathcal{N}=1 \) theories of class \( {\mathcal{S}}_k \), The star-triangle relation and 3\(d\) superconformal indices, Strongly coupled phases of \( \mathcal{N}=1 \) S-duality, 4D/3D reduction of dualities: mirrors on the circle, Rarefied elliptic hypergeometric functions, Rahman's biorthogonal rational functions and superconformal indices, Line operator index on \(S^{1}\times S^{3}\), Quivers, YBE and 3-manifolds, Exceptional indices, Exact results in 3d \( \mathcal{N}=2\) Spin(7) gauge theories with vector and spinor matters, M5-branes, toric diagrams and gauge theory duality, Factorisation of \( \mathcal{N} = 2 \) theories on the squashed 3-sphere, The Römelsberger index, Berkooz deconfinement, and infinite families of Seiberg duals, Basic hypergeometry of supersymmetric dualities, Dualities for three-dimensional \(\mathcal{N} = 2 \) \( \mathrm{SU} (N_c)\) chiral adjoint SQCD, Interpreting multiple dualities conjectured from superconformal index identities, Monopole quivers and new 3D \(\mathcal{N} = 2\) dualities, A freely generated ring for \(\mathcal{N}=1\) models in class \( {\mathcal{S}}_k \), Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices, Four-dimensional superconformal index reloaded, Spin chains and Gustafson’s integrals, Determinantal elliptic Selberg integrals, S-confining gauge theories and supersymmetry enhancements, Lens space index and global properties for 4d \(\mathcal{N} = 2\) models, String theory and the 4D/3D reduction of Seiberg duality. A review, Elliptic extension of Gustafson's \(q\)-integral of type \(G_2\), A tale of exceptional $3d$ dualities, \(C_2\) generalization of the van Diejen model from the minimal \((D_5, D_5)\) conformal matter, The supersymmetric index in four dimensions, General modular quantum dilogarithm and beta integrals, The \(\mathrm{SL}(2, \mathbb{Z})\) dualization algorithm at work, On Gustafson integrals for the group \(\mathrm{SL}(2,\mathbb{R} )\), Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations, On Bailey pairs for \(\mathcal{N} = 2\) supersymmetric gauge theories on \(S_b^3/\mathbb{Z}_r\), \( \mathcal{N} =1 \) supersymmetric indices and the four-dimensional A-model, Superconformal indices of \({{\mathcal N}=4}\) SYM field theories, Gauge theories and Macdonald polynomials, Webs of 3d \(\mathcal{N} = 2\) dualities with d-type superpotentials, Elliptic Littlewood identities, F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories, Superconformal indices for \({\mathcal N}=1\) theories with multiple duals, Modified elliptic gamma functions and 6d superconformal indices, Rigid supersymmetric theories in curved superspace, Superconformal indices of three-dimensional theories related by mirror symmetry, Metastable rank-condition supersymmetry breaking in a chiral example, Hunting for dynamical supersymmetry breaking in theories that s-confine, 4D and 2D superconformal index with surface operator, Elliptic Ding-Iohara algebra and the free field realization of the elliptic Macdonald operator, Twisted characters and holomorphic symmetries, On the superconformal index of \(\mathcal{N} = 1\) IR fixed points. A holographic check, Relation between the 4d superconformal index and the \(\mathbf S^{3}\) partition function, On topological field theory representation of higher analogs of classical special functions, New dynamics and dualities in supersymmetric chiral gauge theories, Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality, Comments on 3d Seiberg-like dualities, Elliptic hypergeometric sum/integral transformations and supersymmetric lens index, Refined geometric transition and \(qq\)-characters, \(\mathrm{SL}(2,\mathbb{C})\) Gustafson integrals, Low-energy dynamics of 3d \( \mathcal{N}=2 \) \(G_2\) supersymmetric gauge theory, The hyperbolic asymptotics of elliptic hypergeometric integrals arising in supersymmetric gauge theory, 4d \( \mathcal{N}=1\) quiver gauge theories and the \(A_n\) Bailey lemma, Global properties of supersymmetric theories and the lens space, Localization of \( \mathcal{N} = 4 \) superconformal field theory on \(S^{1} {\times} S^{3}\) and index, F-maximization along the RG flows: a proposal, Evidence for Aharony duality for orthogonal gauge groups, Phases of \(\operatorname{N}=1\) supersymmetric chiral gauge theories, Charging the superconformal index, Singlet-assisted supersymmetry breaking, The superconformal index of the \(E_{6}\) SCFT, Markov Processes in Survival Analysis, Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions, A test for emergent dynamics, Seiberg dualities and the 3d/4d connection, Counting exceptional instantons, On a modular property of \( \mathcal{N}=2 \) superconformal theories in four dimensions, Reducing the 4d index to the \(S^3\) partition function, S-duality and the \( \mathcal{N}=2 \) Lens space index, New \( \mathcal{N} = 1\) dualities from orientifold transitions part I: field theory, On complex gamma-function integrals, Kutasov-Seiberg dualities and cyclotomic polynomials, Decomposition of BPS moduli spaces and asymptotics of supersymmetric partition functions, Dualities from dualities: the sequential deconfinement technique, Complex hypergeometric functions and integrable many-body problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- S-duality and 2d topological QFT
- Elliptic Littlewood identities
- Counting gauge invariant operators in SQCD with classical gauge groups
- Counting BPS operators in gauge theories: quivers, syzygies and plethystics
- Index for orbifold quiver gauge theories
- New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures
- Seiberg-Witten prepotential from instanton counting
- The theory of Jacobi forms
- \(BC_n\)-symmetric abelian functions
- Inversions of integral operators and elliptic beta integrals on root systems
- Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories
- Basic hypergeometric functions as limits of elliptic hypergeometric functions
- Transformations of elliptic hypergeometric integrals
- Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories
- Limits of elliptic hypergeometric integrals
- Exact results and duality for Sp\((2N)\) SUSY gauge theories with an antisymmetric tensor
- Accidental symmetries and \(N=1\) duality in supersymmetric gauge theory
- Discrete anomaly matching
- On short and semi-short representations for four-dimensional superconformal symmetry.
- Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
- Phases of \(N=1\) supersymmetric gauge theories in four dimensions
- Electric-magnetic duality in supersymmetric non-abelian gauge theories
- Universality in two-dimensional gauge theory
- Duality, monopoles, dyons, confinement and oblique confinement in supersymmetric \(\text{SO}(n_c)\) gauge theories
- New RG fixed points and duality in supersymmetric \(\text{Sp}(N_c)\) and \(\text{SO}(N_c)\) gauge theories
- Patterns of duality in \(N=1\) SUSY gauge theories
- More confining \(N=1\) SUSY gauge theories from non-abelian duality
- The Hagedorn transition, deconfinement and \( N=4\) SYM theory
- Duality and exact results in product group theories
- Shintani-Barnes zeta and gamma functions
- The dual of supersymmetric SU\((2k)\) with an antisymmetric tensor and composite dualities
- New examples of duality in chiral and non-chiral supersymmetric gauge theories
- Chiral rings, singularity theory and electric-magnetic duality
- Superconformal indices for \({\mathcal N}=1\) theories with multiple duals
- Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
- Short proofs of the elliptic beta integrals
- An index for 4 dimensional super conformal theories
- Counting BPS operators in \(\mathcal N = 4\) SYM
- Partition function of the eight-vertex lattice model
- Noncommutative hypergeometry
- Unit circle elliptic beta integrals
- Elliptic hypergeometric functions and Calogero-Sutherland-type models
- A Bailey tree for integrals
- EXACT RESULTS FOR THE SUPERSYMMETRIC G2 GAUGE THEORIES
- On the elliptic beta function
- The importance of the Selberg integral
- Essays on the theory of elliptic hypergeometric functions
- Some q-Beta and Mellin–Barnes Integrals with Many Parameters Associated to the Classical Groups
- Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
- Some q-Beta Integrals on $SU(n)$ and $Sp(n)$ That Generalize the Askey–Wilson and Nasrallah–Rahman Integrals
- First order analytic difference equations and integrable quantum systems
- Spectroscopy of gauge theories based on exceptional Lie groups
- Theta hypergeometric integrals
- Lectures on supersymmetric gauge theories and electric-magnetic duality
- The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\).
- An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
- \(q\)-beta integrals and multivariate basic hypergeometric series associated to root systems of type \(A_m\)