Results 61 to 70 of about 1,481,386 (231)

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

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
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Nevanlinna representations in several variables [PDF]

, 2012
We generalize two integral representation formulae of Nevanlinna to functions of several variables. We show that for a large class of analytic functions that have non-negative imaginary part on the upper polyhalfplane there are representation formulae in
Agler, Jim, Tully-Doyle, R., Young, N. J.   +2 more
core  

Abelian dominance and adjoint color sources [PDF]

, 1996
Abelian dominance in the case of color sources in the fundamental representation is shown to follow from certain properties of maximal abelian projected SU(2) gauge theory.
Poulis, Grigorios I.
core   +3 more sources

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

Invariant Tensors Formulae via Chord Diagrams [PDF]

, 2005
We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra $sl(n)$, as well as arbitrary representation in terms of roots.
Campoamor-Stursberg, R., Manturov, V. O.
core   +2 more sources

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

Deconfinement Transition for Quarks on a Line [PDF]

, 1996
We examine the statistical mechanics of a 1-dimensional gas of both adjoint and fundamental representation quarks which interact with each other through 1+1-dimensional U(N) gauge fields.
Bhanot, Brezin, Bricmont, C.R. Gattringer, Dalley, Das, Das, Demeterfi, Douglas, Fredenhangen, Fubini, G.W. Semenoff, Grignani, Grignani, Gross, Gross, Gross, Gross, Gross, Gross, Gubser, Hagedorn, Huang, Jevicki, Kazakov, Klebanov, Kogan, Kostov, Kutasov, L.D. Paniak, Langmann, Langmann, Nambu, Polchinski, Polyakov, Polyakov, Polyakov, Roberge, Semenoff, Semenoff, Spanier, Sugino, Susskind, Svetitsky, Svetitsky, T'Hooft, Wadia, Weiss, Zarembo, Zarembo   +49 more
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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

Universal Racah matrices and adjoint knot polynomials: Arborescent knots

Physics Letters B, 2016
By now it is well established that the quantum dimensions of descendants of the adjoint representation can be described in a universal form, independent of a particular family of simple Lie algebras.
A. Mironov, A. Morozov
doaj