Results 1 to 10 of about 33,027 (196)
Journal of High Energy Physics, 2022 It is believed, but not demonstrated, that the large radius massless spectrum of a heterotic string theory compactified to four-dimensional Minkowski space should obey equations that split into ‘F-terms’ and ‘D-terms’ in ways analogous to that of four ...
Jock McOrist, Eirik Eik Svanes
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Semiinfinite cohomology of quantum groups [PDF]
Communications in Mathematical Physics, 1996 In this paper we develop a new homology theory of associative algebras called semiinfinite cohomology in a derived category setting. We show that in the case of small quantum groups the zeroth semiinfinite cohomology of the trivial module is closely ...
Arkhipov, Sergey
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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation [PDF]
Entropy, 2020 In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to
Frédéric Barbaresco
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Gravitational Quantum Cohomology [PDF]
International Journal of Modern Physics A, 1997 We discuss how the theory of quantum cohomology may be generalized to "gravitational quantum cohomology" by studying topological σ models coupled to two-dimensional gravity. We first consider σ models defined on a general Fano manifold M (manifold with a positive first Chern class) and derive new recursion relations for its two-point functions.
Eguchi, Tohru +2 more
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Cohomology of Effect Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect
Frank Roumen
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Exactly solvable lattice Hamiltonians and gravitational anomalies
SciPost Physics, 2023 We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime dimensions, whose boundaries are ...
Yu-An Chen, Po-Shen Hsin
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Quantum groups and quantum cohomology [PDF]
Astérisque, 2019 In this paper, we study the classical and quantum equivariant cohomology of Nakajima quiver varieties for a general quiver Q. Using a geometric R-matrix formalism, we construct a Hopf algebra Y_Q, the Yangian of Q, acting on the cohomology of these varieties, and show several results about their basic structure theory.
Maulik, D, Okounkov, A
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Superconformal quantum mechanics and growth of sheaf cohomology
Journal of High Energy Physics, 2023 We give a geometric interpretation for superconformal quantum mechanics defined on a hyper-Kähler cone which has an equivariant symplectic resolution. BPS states are identified with certain twisted Dolbeault cohomology classes on the resolved space and ...
Nick Dorey, Boan Zhao
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On quantum obstruction spaces and higher codimension gauge theories
Physics Letters B, 2021 Using the quantum construction of the BV-BFV method for perturbative gauge theories, we show that the obstruction for quantizing a codimension 1 theory is given by the second cohomology group with respect to the boundary BRST charge. Moreover, we give an
Nima Moshayedi
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Quantum cohomology as a deformation of symplectic cohomology
Journal of Fixed Point Theory and Applications, 2022 AbstractWe prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the symplectic cohomology of the complement of a simple crossings symplectic divisor. We also prove rigidity results for the skeleton of the divisor complement.
Borman, Matthew Strom +2 more
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