Published 2010 | Version v1
Journal article Metadata-only

Mapping between Kitaev's quantum double and the Levin-Wen spin net

Creators

  • 1. ISI Foundation, Torino (Italy)
  • 2. University of Pavia (Italy)
  • 3. Politecnico di Torino (Italy)

Description

Duality in lattice gauge theory is an equivalence of different descriptions of states living on the lattice. Kitaev's model is the description in terms of the (gauge) group algebra basis, the Levin-Wen spin net is that in the Fourier (a.k.a. spin network) basis. The construction is explicit for the ground state, whereas matching excitations is an open problem.

Additional details

Identifiers

URL
http://www.dpg-verhandlungen.de;

Publishing Information

Journal Title
Verhandlungen der Deutschen Physikalischen Gesellschaft
Journal Issue
Hannover 2010 issue
Series
Also available as printed version: Verhandlungen der Deutschen Physikalischen Gesellschaft v. 45(1)
Journal Page Range
[1 p.]
ISSN
0420-0195
CODEN
VDPEAZ

Conference

Title
DPG Spring meeting 2010 of the atomic, molecular, plasma physics and quantum optics section (S-AMOP) with the divisions atomic physics, physics education, short time-scale physics, mass spectrometry, molecular physics, plasma physics, quantum optics and photonics, environmental physics
Dates
8-12 Mar 2010
Place
Hannover (Germany)

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
41084705
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRAIC FIELD THEORY; DUALITY; GROUND STATES; LATTICE FIELD THEORY; SYMMETRY GROUPS; TOPOLOGICAL MAPPING; UNIFIED GAUGE MODELS
Descriptors DEC
AXIOMATIC FIELD THEORY; CONSTRUCTIVE FIELD THEORY; ENERGY LEVELS; FIELD THEORIES; MAPPING; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; TRANSFORMATIONS

Optional Information

Notes
Session: Q 4.6 Mo 15:15; No further information available