Results 11 to 20 of about 69,077 (284)
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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The Geometry of Almost Einstein (2,3,5) Distributions [PDF]
, 2017 We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions.
Sagerschnig, Katja, Willse, Travis
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Equivariant differential operators on spinors in conformal geometry [PDF]
Complex Variables and Elliptic Equations, 2016 We present a novel approach to the classification of conformally equivariant differential operators on spinors in the case of homogeneous conformal geometry. It is based on the classification of solutions for a vector-valued system of partial differential equations, associated to $\mathcal{D}$-modules for the homogeneous conformal structure and ...
Křižka, Libor, Somberg, Petr
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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 differential geometry of a subspace [PDF]
Transactions of the American Mathematical Society, 1944 Not ...
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Classical conformal blocks and isomonodromic deformations [PDF]
, 2017 The leading classical asymptotics of Virasoro conformal blocks on the Riemann sphere with n generic and n-3 "heavy" degenerate field insertions can be described in terms of the geometry of Garnier system describing the monodromy preserving deformations ...
Teschner, Joerg
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On the flat conformal differential geometry, II [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1945 Not ...
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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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Modular orbits at higher genus
Journal of High Energy Physics, 2020 We extend the modular orbits method of constructing a two-dimensional orbifold conformal field theory to higher genus Riemann surfaces. We find that partition functions on surfaces of arbitrary genus can be constructed by a straightforward generalization
Daniel Robbins, Thomas Vandermeulen
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