Results 1 to 10 of about 858 (102)
Super Quantum Airy Structures. [PDF]
Commun Math Phys, 2020 We introduce super quantum Airy structures, which provide a supersymmetric generalization of quantum Airy structures. We prove that to a given super quantum Airy structure one can assign a unique set of free energies, which satisfy a supersymmetric ...
Bouchard V +6 more
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Left regular representations of Garside categories I. C*-algebras and groupoids [PDF]
Glasgow Mathematical Journal, 2021 We initiate the study of C*-algebras and groupoids arising from left regular representations of Garside categories, a notion which originated from the study of Braid groups. Every higher rank graph is a Garside category in a natural way.
Xin Li
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Classification of topological Lie quasi-bialgebra structures over the Lie algebra of Taylor series
Journal of Physics: Conference Series, 2023 Abstract In this note we present in a compact form the recently obtained classification of topological Lie quasi-bialgebra and non-degenerate Lie bialgebra structures over the Lie algebra 𝔤〚x〛, for a simple Lie algebra 𝔤.
Raschid Abedin, Stepan Maximov
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Reflection Structures and Spin Statistics in Low Dimensions [PDF]
Reviews in Mathematical Physics, 2023 We give a complete classification of topological field theories with reflection structure and spin-statistics in one and two spacetime dimensions. Our answers can be naturally expressed in terms of an internal fermionic symmetry group $G$ which is ...
L. Muller, Luuk Stehouwer
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Higher Airy structures and topological recursion for singular spectral curves [PDF]
Annales de l'Institut Henri Poincaré D, 2020 We give elements towards the classification of quantum Airy structures based on the $W(\mathfrak{gl}_r)$-algebras at self-dual level based on twisted modules of the Heisenberg VOA of $\mathfrak{gl}_r$ for twists by arbitrary elements of the Weyl group ...
G. Borot, Reinier Kramer, Yannik Schuler
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The ABCD of topological recursion [PDF]
Advances in Mathematics, 2017 Kontsevich and Soibelman reformulated and slightly generalised the topological recursion of math-ph/0702045, seeing it as a quantization of certain quadratic Lagrangians in $T^*V$ for some vector space $V$.
J. Andersen +3 more
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Charmenability of higher rank arithmetic groups [PDF]
Annales Henri Lebesgue, 2021 We complete the study of characters on higher rank semisimple lattices initiated in [BH19,BBHP20], the missing case being the case of lattices in higher rank simple algebraic groups in arbitrary characteristics.
U. Bader, R. Boutonnet, Cyril Houdayer
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Structure and Classification of Superconformal Nets [PDF]
, 2007 .We study the general structure of Fermi conformal nets of von Neumann algebras on S1 and consider a class of topological representations, the general representations, that we characterize as Neveu–Schwarz or Ramond representations, in particular a Jones
S. Carpi, Yasuyuki Kawahigashi, R. Longo
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Pure infiniteness and ideal structure of crossed products by endomorphisms of $C_0(X)$-algebras [PDF]
, 2014 Let $A$ be a $C_0(X)$-algebra. We consider an extendible endomorphism $\alpha:A\to A$ such that $\alpha(f a)=\Phi(f)\alpha(a)$, $a\in A$, $f\in C_0(X)$ where $\Phi$ is an endomorphism of $C_0(X)$.
B. Kwaśniewski
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Fermionic matrix product states and one-dimensional topological phases [PDF]
, 2016 We develop the formalism of fermionic matrix product states (fMPS) and show how irreducible fMPS fall in two different classes, related to the different types of simple ${\mathbb{Z}}_{2}$ graded algebras, which are physically distinguished by the absence
Nick Bultinck +3 more
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