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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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The graded Cartan matrix and global dimension of 0-relations algebras [PDF]
Proceedings of the Edinburgh Mathematical Society, 1987 The Cartan matrix C of a left artinian ring A, with indecomposable projectives P1,…,Pn and corresponding simples Si=Pi/JPi, is an n×n integral matrix with entries Cij, the number of copies of the simple sj which appear as composition factors of Pi. A relationship between the invertibility of this matrix (as an integral matrix) and the finiteness of the
W. Burgess
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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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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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Topological quantum computation using analog gravitational holonomy and time dilation
SciPost Physics Core, 2023 Non-universal topological quantum computation models, such as the Majorana fermion-based Ising anyon model, have to be supplemented with an additional non-topological noisy gate in order to achieve universality.
Emil Génetay Johansen, Tapio Simula
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Q-systems as Cluster Algebras II: Cartan Matrix of Finite Type and the Polynomial Property [PDF]
, 2008 We define the cluster algebra associated with the Q-system for the Kirillov–Reshetikhin characters of the quantum affine algebra $${U_q(\widehat{\mathfrak {g}})}$$ for any simple Lie algebra $${\mathfrak {g}}$$, generalizing the simply-laced case treated
P. Di Francesco, R. Kedem
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The planar limit of N $$ \mathcal{N} $$ = 2 superconformal quiver theories
Journal of High Energy Physics, 2020 We compute the planar limit of both the free energy and the expectation value of the 1/2 BPS wilson loop for four dimensional N $$ \mathcal{N} $$ = 2 superconformal quiver theories, with a product of SU(N)s as gauge group and hi-fundamental matter ...
Bartomeu Fiol +2 more
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The spectrum properties of an integrable G2 invariant vertex model
Nuclear Physics B, 2023 This paper is concerned with the study of properties of the exact solution of the fundamental integrable G2 vertex model. The model R-matrix and respective spin chain are presented in terms of the basis generators of the G2 Lie algebra.
M.J. Martins
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Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model
Journal of High Energy Physics, 2018 The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation.
René Negrón, Victor O. Rivelles
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