Results 41 to 50 of about 317,803 (230)

Representations of hom-Lie algebras [PDF]

, 2012
In this paper, we study representations of hom-Lie algebras. In particular, the adjoint representation and the trivial representation of hom-Lie algebras are studied in detail.
A Makhlouf, A Makhlouf, C Chevalley, D Larsson, D Larsson, D Yau, D Yau, D Yau, I Dorfman, J Hartwig, N Jacobson, Y Sheng, Yunhe Sheng   +12 more
core   +1 more source

Adjoint SU(5) GUT model with modular S 4 symmetry

Journal of High Energy Physics, 2021
We study the textures of SM fermion mass matrices and their mixings in a supersymmetric adjoint SU(5) Grand Unified Theory with modular S 4 being the horizontal symmetry.
Ya Zhao, Hong-Hao Zhang
doaj   +1 more source

Phases Of Adjoint QCD$_3$ And Dualities

SciPost Physics, 2018
We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the theory as a
Jaume Gomis, Zohar Komargodski, Nathan Seiberg
doaj   +1 more source

N=4 Supersymmetric Yang-Mills Multiplet in Non-Adjoint Representations

, 2007
We formulate a theory for N=4 supersymmetric Yang-Mills multiplet in a non-adjoint representation R of SO(N) as an important application of our recently-proposed model for N=1 supersymmetry.
Hitoshi Nishino, J. Maldacena, J. Scherk, Subhash Rajpoot   +3 more
core   +1 more source

On Euler systems for adjoint Hilbert modular Galois representations [PDF]

arXiv, 2021
We prove the existence of Euler systems for adjoint modular Galois representations using deformations of Galois representations coming from Hilbert modular forms and relate them to $p$-adic $L$-functions under a conjectural formula for the Fitting ideals of some equivariant congruence modules for abelian base change.
arxiv  

Adjoint modular Galois representations and their Selmer groups [PDF]

Proceedings of the National Academy of Sciences, 1997
In the last 15 years, many class number formulas and main conjectures have been proven. Here, we discuss such formulas on the Selmer groups of the three-dimensional adjoint representation ad(φ) of a two-dimensional modular Galois representation φ. We start with the p -adic Galois representation φ 0
Eric Urban, Haruzo Hida, Jacques Tilouine   +2 more
openaire   +3 more sources

On universal quantum dimensions

Nuclear Physics B, 2017
We represent in the universal form restricted one-instanton partition function of supersymmetric Yang–Mills theory. It is based on the derivation of universal expressions for quantum dimensions (universal characters) of Cartan powers of adjoint and some ...
R.L. Mkrtchyan
doaj   +1 more source

Adjoint affine fusion and tadpoles [PDF]

, 2016
We study affine fusion with the adjoint representation. For simple Lie algebras, elementary and universal formulas determine the decomposition of a tensor product of an integrable highest-weight representation with the adjoint representation. Using the (refined) affine depth rule, we prove that equally striking results apply to adjoint affine fusion ...
arxiv   +1 more source

Cohomologies of the Poisson superalgebra

, 2005
Cohomology spaces of the Poisson superalgebra realized on smooth Grassmann-valued functions with compact support on $R^{2n}$ ($C^{2n}) are investigated under suitable continuity restrictions on cochains.
A. G. Smirnov, B. V. Fedosov, D. A. Leites, F. Bayen, I. V. Tyutin, I. V. Tyutin, I. V. Tyutin, L. Hörmander, M. Kontsevich, M. Scheunert, M. V. Karasev, S. E. Konstein, V. V. Zharinov   +12 more
core   +3 more sources

Modular Classes of Lie Groupoid Representations up to Homotopy [PDF]

, 2015
We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of a volume form, in the sense of ...
Mehta, Rajan Amit
core   +3 more sources