Results 11 to 20 of about 382 (159)
On the Higher Nash Blow-Up Derivation Lie Algebras of Isolated Hypersurface Singularities
Mathematics, 2023 It is a natural question to ask whether there is any Lie algebra that completely characterize simple singularities? The higher Nash blow-up derivation Lie algebras Lkl(V) associated to isolated hypersurface singularities defined to be the Lie algebra of ...
Muhammad Asif +3 more
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Defining Relations for Lie Superalgebras with Cartan Matrix [PDF]
Czechoslovak Journal of Physics, 2001 We completely describe presentations of Lie superalgebras with Cartan matrix if they are simple Z-graded of polynomial growth. Such matrices can be neither integer nor symmetrizable. There are non-Serre relations encountered. In certain cases there are infinitely many relations.
Grozman, Pavel, Leites, Dimitry
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On the Cartan decomposition for classical random matrix ensembles
Journal of Mathematical Physics, 2022 We complete Dyson’s dream by cementing the links between symmetric spaces and classical random matrix ensembles. Previous work has focused on a one-to-one correspondence between symmetric spaces and many but not all of the classical random matrix ensembles. This work shows that we can completely capture all of the classical random matrix ensembles from
Alan Edelman, Sungwoo Jeong
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Lax pairs for string Newton Cartan geometry
Nuclear Physics B, 2020 In this paper, based on a systematic formulation of Lax pairs, we show classical integrability for nonrelativistic strings propagating over stringy Newton-Cartan (NC) geometry.
Dibakar Roychowdhury
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Semiclassical dynamics for torsional Newton-Cartan strings
Nuclear Physics B, 2020 We explore folded spinning string configurations over torsional Newton Cartan (TNC) geometry with R×S2 topology within the semiclassical approximation. We consider the large c and/or nonrelativistic (NR) limit associated with the world-sheet d.o.f.
Dibakar Roychowdhury
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A new class of higher quantum Airy structures as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras
SciPost Physics, 2023 Quantum $r$-Airy structures can be constructed as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras via restriction of twisted modules for the underlying Heisenberg algebra.
Vincent Bouchard, Kieran Mastel
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Aspects of Nonrelativistic Strings
Frontiers in Physics, 2022 We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields.
Gerben Oling, Gerben Oling, Ziqi Yan
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T-duality in nonrelativistic open string theory
Journal of High Energy Physics, 2021 Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory [1].
Jaume Gomis, Ziqi Yan, Matthew Yu
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Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
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Nonrelativistic string theory and T-duality
Journal of High Energy Physics, 2018 Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string
Eric Bergshoeff, Jaume Gomis, Ziqi Yan
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