Results 71 to 80 of about 307 (186)
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are ''associativity'' or ''factorization'' conditions on the operator product expansion (OPE) of the theory,
Stefan Hollands
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(2, 2) geometry from gauge theory
Journal of High Energy Physics, 2018 Using gauge theory, we describe how to construct generalized Kähler geometries with (2, 2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds. For special cases, T-dual descriptions can
João Caldeira +2 more
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A rigorous definition of fiberwise quantum cohomology and equivariant quantum cohomology [PDF]
Communications in Analysis and Geometry, 1998 Since the proposal of the notion of quantum cohomology by the physicist \textit{C. Vafa} [in: `Essays on mirror manifolds', 96-119 (1992; Zbl 0827.58073)] and its mathematical foundation by \textit{Y. Ruan} and \textit{G. Tian} [J. Differ. Geom. 42, 259-367 (1995; Zbl 0860.58005)] for semi-positive symplectic manifolds, the quantum cohomology has ...
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Cohomology of Infinitesimal Quantum Algebras
Journal of Algebra, 2000 In this very technically written paper the author shows an isomorphism between two functors defined by the quantum Frobenius homomorphism, which enables the definition of the Frobenius homomorphism in the cohomology of infinitesimal quantum algebras.
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Crystallography, group cohomology, and Lieb–Schultz–Mattis constraints
SciPost PhysicsWe compute the mod-2 cohomology ring for three-dimensional (3D) space groups and establish a connection between them and the lattice structure of crystals with space group symmetry.
Chunxiao Liu, Weicheng Ye
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, 1996 We discuss a general quantum theoretical example of quantum cohomology and show that various mathematical aspects of quantum cohomology have quantum mechanical and also observable significance.
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Quantum cohomology of flag manifolds
Advances in Mathematics, 2003 The (small) quantum cohomology ring of a flag manifold F encodes enumerative geometry of rational curves on F. We give a proof of the presentation of the ring and of a quantum Giambelli formula, which is more direct and geometric than the previously known proof.
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Quantum generalized cohomology
, 1998 We construct a ring structure on complex cobordism tensored with the rationals, which is related to the usual ring structure as quantum cohomology is related to ordinary cohomology. The resulting object defines a generalized two- dimensional topological field theory taking values in a category of spectra.
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Complexity of Supersymmetric Systems and the Cohomology Problem [PDF]
QuantumWe consider the complexity of the local Hamiltonian problem in the context of fermionic Hamiltonians with $\mathcal N=2 $ supersymmetry and show that the problem remains $\mathsf{QMA}$-complete.
Chris Cade, P. Marcos Crichigno
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Cohomological operators and covariant quantum superalgebras [PDF]
Journal of Physics A: Mathematical and General, 2004 We obtain an interesting realization of the de Rham cohomological operators of differential geometry in terms of the noncommutative q-superoscillators for the supersymmetric quantum group GL_{qp} (1|1). In particular, we show that a unique superalgebra, obeyed by the bilinears of fermionic and bosonic noncommutative q-(super)oscillators of GL_{qp} (1|1)
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