Superconformal blocks in diverse dimensions and \textit{BC} symmetric functions
DOI10.1007/s00220-023-04740-7zbMath1530.81128arXiv2112.12169OpenAlexW4382699774MaRDI QIDQ6171973
Francesco Aprile, Paul J. Heslop
Publication date: 16 August 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.12169
Measures of association (correlation, canonical correlation, etc.) (62H20) Symmetric functions and generalizations (05E05) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analogues of general relativity in lower dimensions (83C80) Classification theory, stability, and related concepts in model theory (03C45) Root systems (17B22) Conformal structures on manifolds (53C18)
Cites Work
- Scale invariance of the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring, T-duality and modified type II equations
- Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
- Integrability and the \(AdS_3/CFT_2\) correspondence
- Aspects of \(N = 4\) SYM
- Four-point functions in \(N = 4\) SYM
- Bootstrapping \( \mathcal{N}=3 \) superconformal theories
- \(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials
- Diagonal limit for conformal blocks in \(d\) dimensions
- Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials
- Superconformal ward identities and their solution
- Okounkov's BC-type interpolation Macdonald polynomials and their \(q=1\) limit
- A formula for the hypergeometric function of type \(BC_n\)
- Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC
- \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
- Zonal polynomials and domino tableaux
- On the Clebsch-Gordan expansion for the Lorentz group in \(n\) dimensions
- Shifted Jack polynomials, binomial formula, and applications
- A determinantal formula for supersymmetric Schur polynomials
- On short and semi-short representations for four-dimensional superconformal symmetry.
- Conformal partial waves and the operator product expansion
- Deformed quantum Calogero-Moser problems and Lie superalgebras
- Orthogonal polynomials associated with root systems
- Bootstrapping the half-BPS line defect
- Notes on super Killing tensors
- The \( \mathcal{N}=2 \) superconformal bootstrap
- From spinning conformal blocks to matrix Calogero-Sutherland models
- Loop corrections for Kaluza-Klein AdS amplitudes
- Analyticity in spin in conformal theories
- Quantum gravity from conformal field theory
- M-theory beyond the supergravity approximation
- Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials
- Some combinatorial properties of Jack symmetric functions
- A duality of MacDonald-Koornwinder polynomials and its application to integral representations
- A conformal dispersion relation: correlations from absorption
- Dispersive CFT sum rules
- Higher-dimensional symmetry of \(\mathrm{AdS}_2\times\mathrm{S}^2\) correlators
- Superconformal blocks: general theory
- One-loop amplitudes in \(\mathrm{AdS}_5 \times S^5\) supergravity from \(\mathcal{N} = 4\) SYM at strong coupling
- Superconformal block from holographic geometry
- Nonperturbative Mellin amplitudes: existence, properties, applications
- Conformal partial wave expansions for \(\mathcal N=4\) chiral four-point functions
- Integrability of conformal blocks. I: Calogero-Sutherland scattering theory
- Recursion relations for anomalous dimensions in the 6d (2, 0) theory
- Inversion of the Pieri formula for Macdonald polynomials
- BC\(_n\)-symmetric polynomials
- Superconformal partial waves in Grassmannian field theories
- Conformal group theory of tensor structures
- The unique Polyakov blocks
- Explicitation des polynômes de Jack et de Macdonald en longueur trois
- AdS/SCFT in superspace
- (N, p, q) HARMONIC SUPERSPACE
- Certain Hypergeometric Series Related to the Root System BC
- A Class of Generalized Hypergeometric Functions in Several Variables
- Generalized Power Series Expansions for a Class of Orthogonal Polynomials in Two Variables
- Limit Transitions for BC Type Multivariable Orthogonal Polynomials
- On generalizations of root systems
- Superfield representations of superconformal groups
- Harmonic superspaces in low dimensions
- Jack polynomials and some identities for partitions
- A superspace survey
- Orthogonality of super‐Jack polynomials and a Hilbert space interpretation of deformed Calogero–Moser–Sutherland operators
- Aspects of the \(D=6\), \((2,0)\) tensor multiplet
- Conformal four point functions and the operator product expansion
- Superconformal symmetry, correlation functions and the operator product expansion
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