Results 21 to 30 of about 230,209 (162)

Double-graded supersymmetric quantum mechanics [PDF]

open access: yesJournal of Mathematics and Physics, 2019
A quantum mechanical model that realizes the $ \mathbb{Z}_2 \times \mathbb{Z}_2$-graded generalization of the one-dimensional supertranslation algebra is proposed.
A. Bruce, S. Duplij
semanticscholar   +1 more source

Perturbative Algebraic Quantum Field Theory [PDF]

open access: yes, 2015
These notes are based on the course given by Klaus Fredenhagen at the Les Houches Winter School in Mathematical Physics (January 29 - February 3, 2012) and the course "QFT for mathematicians" given by Katarzyna Rejzner in Hamburg for the Research Training Group 1670 (February 6 -11, 2012).
Thomas Strobl, Damien Calaque
openaire   +4 more sources

A quasi-Hopf algebra for the triplet vertex operator algebra [PDF]

open access: yesCommunications in Contemporary Mathematics, 2017
We give a new factorizable ribbon quasi-Hopf algebra [Formula: see text], whose underlying algebra is that of the restricted quantum group for [Formula: see text] at a [Formula: see text]th root of unity. The representation category of [Formula: see text]
T. Creutzig, A. Gainutdinov, I. Runkel
semanticscholar   +1 more source

Separability and distillability in composite quantum systems -a primer- [PDF]

open access: yes, 2000
Quantum mechanics is already 100 years old, but remains alive and full of challenging open problems. On one hand, the problems encountered at the frontiers of modern theoretical physics like Quantum Gravity, String Theories, etc.
A. Sanpera   +17 more
core   +2 more sources

Biologic [PDF]

open access: yes, 2002
In this paper we explore the boundary between biology and the study of formal systems (logic). In the end, we arrive at a summary formalism, a chapter in "boundary mathematics" where there are not only containers but also extainers >
Kauffman, Louis H.
core   +4 more sources

Operads for algebraic quantum field theory [PDF]

open access: yesCommunications in Contemporary Mathematics, 2017
We construct a colored operad whose category of algebras is the category of algebraic quantum field theories. This is achieved by a construction that depends on the choice of a category, whose objects provide the operad colors, equipped with an ...
M. Benini   +2 more
semanticscholar   +1 more source

Complexity vs Energy: Theory of Computation and Theoretical Physics [PDF]

open access: yes, 2013
This paper is a survey dedicated to the analogy between the notions of {\it complexity} in theoretical computer science and {\it energy} in physics. This analogy is not metaphorical: I describe three precise mathematical contexts, suggested recently, in ...
Manin, Yuri I.
core   +1 more source

Quantum correlations are weaved by the spinors of the Euclidean primitives [PDF]

open access: yesRoyal Society Open Science, 2018
The exceptional Lie group E8 plays a prominent role in both mathematics and theoretical physics. It is the largest symmetry group associated with the most general possible normed division algebra, namely, that of the non-associative real octonions, which—
J. Christian
semanticscholar   +1 more source

QUANTUM TEICHMÜLLER SPACES AND QUANTUM TRACE MAP [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2015
We show how the quantum trace map of Bonahon and Wong can be constructed in a natural way using the skein algebra of Muller, which is an extension of the Kauffman bracket skein algebra of surfaces.
Thang T. Q. Lê
semanticscholar   +1 more source

Valued Graphs and the Representation Theory of Lie Algebras [PDF]

open access: yes, 2011
Quivers (directed graphs) and species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Assem   +14 more
core   +3 more sources

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