Results 1 to 10 of about 2,281 (262)
Journal of High Energy Physics, 2021 Conformal geometry is studied using the unfolded formulation à la Vasiliev. Analyzing the first-order consistency of the unfolded equations, we identify the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of so 2 d $$ \mathfrak{so}
Euihun Joung, Min-gi Kim, Yujin Kim
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Axioms, 2021 This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski +2 more
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Conformal integrals in four dimensions
Journal of High Energy Physics, 2022 We obtain analytic expressions of four-dimensional Euclidean N-point conformal integrals for arbitrary N by solving a Lauricella-like system of differential equations derived earlier. We demonstrate their relation to the GKZ A-hypergeometric systems. The
Aritra Pal, Koushik Ray
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Holographic cameras: an eye for the bulk
Journal of High Energy Physics, 2023 We consider four-point correlators in an excited quantum state of a field theory. We show that, when the theory and state are holographic, a judiciously applied Fourier transform produces high-quality images of point-like bulk particles, revealing the ...
Simon Caron-Huot
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Bootstrapping closed hyperbolic surfaces
Journal of High Energy Physics, 2022 The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions and holomorphic s-differentials satisfy certain consistency conditions on closed hyperbolic surfaces.
James Bonifacio
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Color confinement at the boundary of the conformally compactified AdS5
Journal of High Energy Physics, 2021 The topology of closed manifolds forces interacting charges to appear in pairs. We take advantage of this property in the setting of the conformal boundary of AdS5 spacetime, topologically equivalent to the closed manifold S 1 × S 3, by considering the ...
M. Kirchbach, T. Popov, J. A. Vallejo
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Classical codes and chiral CFTs at higher genus
Journal of High Energy Physics, 2022 Higher genus modular invariance of two-dimensional conformal field theories (CFTs) is a largely unexplored area. In this paper, we derive explicit expressions for the higher genus partition functions of a specific class of CFTs: code CFTs, which are ...
Johan Henriksson +2 more
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Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold
Mathematics, 2021 We study the effect of a nontrivial conformal vector field on the geometry of compact Riemannian spaces. We find two new characterizations of the m-dimensional sphere Sm(c) of constant curvature c.
Amira Ishan +2 more
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Chiral rings, Futaki invariants, plethystics, and Gröbner bases
Journal of High Energy Physics, 2021 We study chiral rings of 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories via the notion of K-stability. We show that when using Hilbert series to perform the computations of Futaki invariants, it is not enough to only include the test symmetry ...
Jiakang Bao, Yang-Hui He, Yan Xiao
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Conformal Flattening for Deformed Information Geometries on the Probability Simplex †
Entropy, 2018 Recent progress of theories and applications regarding statistical models with generalized exponential functions in statistical science is giving an impact on the movement to deform the standard structure of information geometry.
Atsumi Ohara
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