๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Quantum matrices in two dimensions

โœ Scribed by H. Ewen; O. Ogievetsky; J. Wess


Publisher
Springer
Year
1991
Tongue
English
Weight
322 KB
Volume
22
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

โœฆ Synopsis


Quantum matrices in two dimensions, admitting left and right quantum spaces, are classified: they fall mto two famdies, the 2-parametric family GLp.q(2) and a 1-parametric family GLS(2). Phenomena previously found for GLp,q(2) hold in this general situation: (a) powers of quantum matrices are again quantum and (b) entries of the logarithm of a two-dimensional quantum matrix form a Lie algebra AMS subject classification (1991). 16A24.


๐Ÿ“œ SIMILAR VOLUMES


Factorized S-matrices in two dimensions
๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 66 KB

for which the action is finite and stationary under variations, without assuming any additional boundary conditions at infinity. An element of the proof is the vanishing of the stress tensor for a finite action solution, which actually holds true for the general O(N) o-model. For the two-dimensional

Quantum Field Theory || In Two Dimension
โœ Huang, Kerson ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Wiley-VCH Verlag GmbH ๐ŸŒ English โš– 668 KB

Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman

Quantum R2 gravity in two dimensions
โœ Hikaru Kawai; Ryuichi Nakayama ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 398 KB
Ground States of Quantum Antiferromagnet
โœ Subir Sachdev; Kwon Park ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 505 KB

We explore the ground states and quantum phase transitions of two-dimensional, spin S = 1/2, antiferromagnets by generalizing lattice models and duality transforms introduced by Sachdev and , Mod. Phys. Lett. B 4, 1043). The minimal model for square lattice antiferromagnets is a lattice discretizati