Results 1 to 10 of about 84 (80)

Vertex operator algebras, Higgs branches, and modular differential equations

Journal of High Energy Physics, 2018
Every four-dimensional N=2 $$ \mathcal{N}=2 $$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra.
Christopher Beem, Leonardo Rastelli
doaj   +3 more sources

Deformations of Symmetric Simple Modular Lie (Super)Algebras

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2023
oai:arXiv.org:0807.3054We say that a Lie (super)algebra is \u27\u27symmetric\u27\u27 if with every root (with respect to the maximal torus) it has the opposite root of the same multiplicity.
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites   +2 more
exaly   +3 more sources

Elliptic genera and characteristic q-series of superconformal field theory

Nuclear Physics B, 2015
We analyze the characteristic series, the KO series and the series associated with the Witten genus, and their analytic forms as the q-analogs of classical special functions (in particular q-analog of the beta integral and the gamma function).
L. Bonora, A.A. Bytsenko, M. Chaichian
doaj   +2 more sources

SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras

, 2023
Over algebraically closed fields of positive characteristic, for simple Lie (super)algebras, and certain Lie (super)algebras close to simple ones, with symmetric root systems (such that for each root, there is minus it of the same multiplicity) and of ...
Grozman, Pavel, Leites, Dimitry, Bouarroudj, Sofiane, Leites, Dimitry,, Lebedev, Alexei, Alexei, Lebedev   +5 more
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4d/2d Correspondence: Instantons and W-Algebras [PDF]

, 2012
In this thesis, we study the 4d/2d correspondence of Alday-Gaiotto-Tachikawa, which relates the class of 4-dimensional N=2 gauge theories (theories of class S) to a 2-dimensional conformal field theory. The 4d gauge theories are obtained by compactifying
Song, Jaewon
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Representations of superconformal algebras and mock theta functions [PDF]

, 2018
It is well known that the normalized characters of integrable highest weight modules of given level over an affine Lie algebra [care over g] span an SL[subscript 2](Z)-invariant space. This result extends to admissible [caret over g]-modules, where g is
Kac, Victor, Wakimoto, M.
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The Graded Modules of Lie Superalgebra S(n) Over Prime Characteristic Fields

Journal of Harbin University of Science and Technology
The classification of simple Lie superalgebras over prime characteristic fields has not yet been solved, and the core issue is the classification of Cartan type Lie superalgebras.
LI Yue, SUN Liping, LIU Wende
doaj   +1 more source

Smarandache rings [PDF]

, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

Modular transformations of admissible N = 2 and Affine sl(2|1;C) characters [PDF]

, 2002
This thesis is a study of the affine super-algebra sl(2|l; C) and N = 2 superconformal algebra at fractional levels. In the first chapter we review background material on Conformal Field Theory, and how it appears in the context of string theory and the ...
Sadeghi, Jafar
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