A Quantum Harmonic Analysis Approach to Segal Algebras [PDF]
Integral equations and operator theory, 2023 In this article, we study a commutative Banach algebra structure on the space $$L^1(\mathbb {R}^{2n})\oplus {\mathcal {T}}^1$$ L 1
Eirik Berge, S. M. Berge, R. Fulsche
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Design-theoretic analogies between codes, lattices, and vertex operator algebras [PDF]
Designs, Codes and Cryptography, 2020 There are many analogies between codes, lattices, and vertex operator algebras. For example, extremal objects are good examples of combinatorial, spherical, and conformal designs.
T. Miezaki
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Representation theory of vertex operator algebras and orbifold conformal field theory [PDF]
Lie Groups, Number Theory, and Vertex
Algebras, 2020 We discuss some basic problems and conjectures in a program to construct general orbifold conformal field theories using the representation theory of vertex operator algebras. We first review a program to construct conformal field theories.
Yi-Zhi Huang
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Systematic Orbifold Constructions of Schellekens' Vertex Operator Algebras from Niemeier Lattices [PDF]
, 2020 . We present a systematic, rigorous construction of all 70 strongly rational, holomorphic vertex operator algebras V of central charge 24 with non-zero weight-one space V 1 as cyclic orbifold constructions associated with the 24 Niemeier lattice vertex ...
G. Hohn, S. Møller
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Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras [PDF]
Transactions of the American Mathematical Society, 2016 In this article, we develop a general technique for proving the uniqueness of holomorphic vertex operator algebras based on the orbifold construction and its “reverse” process.
C. Lam, Hiroki Shimakura
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Higgs and Coulomb branches from vertex operator algebras [PDF]
Journal of High Energy Physics, 2018 A bstractWe formulate a conjectural relation between the category of line defects in topologically twisted 3d N$$ \mathcal{N} $$ = 4 supersymmetric quantum field theories and categories of modules for Vertex Operator Algebras of boundary local operators ...
K. Costello, T. Creutzig, D. Gaiotto
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A remark on matrix product operator algebras, anyons and subfactors [PDF]
Letters in Mathematical Physics, 2019 We show that the mathematical structures in a recent work of Bultinck–Mariëna–Williamson–Şahinoğlu–Haegemana–Verstraete are the same as those of flat symmetric bi-unitary connections and the tube algebra in subfactor theory.
Yasuyuki Kawahigashi
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Vertex operator algebras, Higgs branches, and modular differential equations [PDF]
Journal of High Energy Physics, 2017 A bstractEvery four-dimensional N=2$$ \mathcal{N}=2 $$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra.
Christopher Beem, L. Rastelli
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Vertex Operator Algebras and 3d N$$ \mathcal{N} $$ = 4 gauge theories [PDF]
Journal of High Energy Physics, 2018 A bstractWe introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d N$$ \mathcal{N} $$ = 4 gauge theories.
K. Costello, D. Gaiotto
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Cyclic orbifolds of lattice vertex operator algebras having group-like fusions [PDF]
Letters in Mathematical Physics, 2018 Let L be an even (positive definite) lattice and $$g\in O(L)$$ g ∈ O ( L ) . In this article, we prove that the orbifold vertex operator algebra $$V_{L}^{{\hat{g}}}$$ V L g ^ has group-like fusion if and only if g acts trivially on the discriminant group
C. Lam
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