Results 11 to 20 of about 31,002 (199)
Representation groups for the Schur index
Journal of Algebra, 1985 Let G be a finite group, \(\chi\) an irreducible complex character of G and K an algebraic number field containing the values of \(\chi\). Then \(\chi\) determines a central simple component A in the group algebra KG and thus an element [A] in the Brauer group Br(K).
Peter Schmid
exaly +3 more sources
An infrared bootstrap of the Schur index with surface defects
Journal of High Energy Physics, 2019 The infrared formula relates the Schur index of a 4d N $$ \mathcal{N} $$ = 2 theory to its wall-crossing invariant, a.k.a. BPS monodromy. A further extension of this formula, proposed by Córdova, Gaiotto and Shao, includes contributions by various types ...
Martin Fluder, Pietro Longhi
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Schur sector of Argyres-Douglas theory and $W$-algebra
SciPost Physics, 2021 We study the Schur index, the Zhu's $C_2$ algebra, and the Macdonald index of a four dimensional $\mathcal{N}=2$ Argyres-Douglas (AD) theories from the structure of the associated two dimensional $W$-algebra. The Schur index is derived from the vacuum
Dan Xie, Wenbin Yan
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On dimension of Lie Algebras and nilpotent Lie algebras [PDF]
Mathematics and Computational Sciences, 2022 Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s
Homayoon Arabyani
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
wiley +1 more source
Root of unity asymptotics for Schur indices of 4d Lagrangian theories
Journal of High Energy Physics, 2023 The Schur index of a 4 dimensional N $$ \mathcal{N} $$ = 2 superconformal field theory counts (with sign) bosonic and fermionic states that preserve 4 supercharges.
Giorgos Eleftheriou
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Modular anomaly equation for Schur index of N $$ \mathcal{N} $$ = 4 super-Yang-Mills
Journal of High Energy Physics, 2022 We propose a novel modular anomaly equation for the unflavored Schur index in the N $$ \mathcal{N} $$ = 4 SU(N) super-Yang-Mills theory. The vanishing conditions overdetermine the modular ambiguity ansatz from the equation, thus together they are ...
Min-xin Huang
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More on the Schur group of a commutative ring
International Journal of Mathematics and Mathematical Sciences, 1985 The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphic image of a group ring RG for some finite group G.
R. A. Mollin
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Schur Indices, BPS Particles, and Argyres-Douglas Theories [PDF]
, 2015 We conjecture a precise relationship between the Schur limit of the superconformal index of four-dimensional $\mathcal{N}=2$ field theories, which counts local operators, and the spectrum of BPS particles on the Coulomb branch.
Cordova, Clay, Shao, Shu-Heng
core +2 more sources
String C-groups with real Schur index 2 [PDF]
Journal of Pure and Applied Algebra, 2022 6 ...
Cameron, Peter +2 more
openaire +6 more sources