Results 101 to 110 of about 31,002 (199)

Schur Index and Extensions of Witt-Berman's Theorems

, 2020
Let $G$ be a finite group, and $F$ a field of characteristic $0$ or prime to the order of $G$. In $1952$, Witt and in $1956$, Berman independently proved that the number of inequivalent irreducible $F$-representations of $G$ is equal to the number of $F$-conjugacy classes of the elements of $G$, where "$F$-conjugacy" was defined in a certain way.
Kulkarni, Ravindra Shripad, Pradhan, Soham Swadhin   +1 more
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Large N Schur index of N $$ \mathcal{N} $$ = 4 SYM from semiclassical D3 brane

Journal of High Energy Physics
We consider the refined Schur superconformal index of 4d N $$ \mathcal{N} $$ = 4 U(N) SYM and the first term of its giant-graviton expansion, first predicted in arXiv:2001.11667 using indirect superconformal algebra considerations and analytic ...
M. Beccaria, A. Cabo-Bizet
doaj   +1 more source

Schur indexes of sporadic simple groups

Journal of Algebra, 1979
AbstractThe purpose of this paper is to determine the Schur indices of the characters of the 10 known sporadic simple groups of order less than one billion. Computational methods have been used to reduce this problem to consideration of a few characters of some of the smaller groups.
openaire   +2 more sources

The exact Schur index of $\mathcal{N}=4$ SYM

, 2015
The Witten index counts the difference in the number of bosonic and fermionic states of a quantum mechanical system. The Schur index, which can be defined for theories with at least $\mathcal{N}=2$ supersymmetry in four dimensions is a particular refinement of the index, dependent on one parameter $q$ serving as the fugacity for a particular set of ...
Bourdier, Jun, Drukker, Nadav, Felix, Jan   +2 more
openaire   +2 more sources

Looking for the G 2 Higgs branch of 4D rank 1 SCFTs

Journal of High Energy Physics
The Schur index of the Higgs branch of 4-dimensional N $$ \mathcal{N} $$ = 2 SCFTs is related to the spectrum of non-unitary 2-dimensional CFTs. The rank 1 case has been shown to lead to the non-unitary CFTs with Deligne-Cvitanovic (DC) exceptional ...
Md. Abhishek, Sachin Grover, Dileep P. Jatkar, Kajal Singh   +3 more
doaj   +1 more source

Symmetric polynomials and $l^p$ inequalities for certain intervals of $p$

, 2011
We prove some sufficient conditions implying $l^p$ inequalities of the form $||x||_p \leq ||y||_p$ for vectors $ x, y \in [0,\infty)^n$ and for $p$ in certain positive real intervals.
Communicated Vern, I. Paulsen, Ivo Kleme ˇ S   +2 more
core   +1 more source

Leading large N giant graviton correction to Schur correlators in large representations

Nuclear Physics B
We consider 4d N=4 U(N) SYM and the leading giant graviton correction at large N to the Schur defect 2-point functions of 12-BPS Wilson lines in rank-k symmetric and antisymmetric representations.
M. Beccaria
doaj   +1 more source

Local Streamline Pattern and Topological Index of an Isotropic Point in a 2D Velocity Field

Mathematics
In fluid mechanics, most studies on flow structure analysis are simply based on the velocity gradient, which only involves the linear part of the velocity field and does not focus on the isotropic point.
Jian Gao, Rong Wang, Hongping Ma, Wennan Zou   +3 more
doaj   +1 more source

Cohomology of Tanabe algebras

Extracta Mathematicae
In this paper we study the (co)homology of Tanabe algebras, which are a family of subalgebras of the partition algebras exhibiting a Schur–Weyl duality with certain complex reflection groups.
Andrew Fisher, Daniel Graves
doaj   +1 more source

The exact Schur index of N = 4 SYM [PDF]

, 2015
The Witten index counts the difference in the number of bosonic and fermionic states of a quantum mechanical system. The Schur index, which can be defined for theories with at least N=2 supersymmetry in four dimensions is a particular refinement of the index, dependent on one parameter q serving as the fugacity for a particular set of charges which ...
Bourdier, Jun, Drukker, Nadav, Felix, Jan   +2 more
openaire   +1 more source