Results 91 to 100 of about 33,027 (196)
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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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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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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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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Deformations of chiral algebras and quantum cohomology of toric varieties
, 2000 We reproduce the quantum cohomology of toric varieties (and of some hypersurfaces in projective spaces) as the cohomology of certain vertex algebras with differential.
Malikov, F., Schechtman, V.
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Deligne-Beilinson Cohomology and Abelian Link Invariants
Symmetry, Integrability and Geometry: Methods and Applications, 2008 For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit
Enore Guadagnini, Frank Thuillier
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Cohomology of infinitesimal quantum groups, I
Tohoku Mathematical Journal, 1992 The authors investigate the cohomology of infinitesimal quantum groups (and algebras) associated to classical quantum groups (and algebras) at a root of unity. A main result expresses the Ext-groups between irreducible modules for the Frobenius kernel in terms of those for the full quantum group.
Parshall, Brian, Wang, Jian Pan
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Schubert defects in Lagrangian Grassmannians
Journal of High Energy PhysicsIn this paper, we propose a construction of GLSM defects corresponding to Schubert cycles in Lagrangian Grassmannians, following recent work of Closset-Khlaif on Schubert cycles in ordinary Grassmannians.
Wei Gu +5 more
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Symmetry fractionalization and twist defects
New Journal of Physics, 2016 Topological order in two-dimensions can be described in terms of deconfined quasiparticle excitations—anyons—and their braiding statistics. However, it has recently been realized that this data does not completely describe the situation in the presence ...
Nicolas Tarantino +2 more
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, 2023 69 pages, 5 figures, v2: corrected minor errors and added Appendix B, v3: major revision; the main result has been strengthened by eliminating the variables x and y; the initial condition for the decomposition has been clarified; a discussion on the well-definedness of the pullbacks of quantum D-modules has been ...
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