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Title: Superconformal field theories from M-theory crystal lattices

Abstract

We propose a brane configuration for the (2+1)d, N=2 superconformal theories (CFT{sub 3}) arising from M2 branes probing toric Calabi-Yau 4-fold cones, using a T-duality transformation of M theory. We obtain intersections of M5-branes on a three-torus which form a 3d bipartite crystal lattice in a way similar to the 2d dimer models for CFT{sub 4}. The fundamental fields of the CFT{sub 3} are M2-brane discs localized around the intersections, and the superpotential terms are identified with the atoms of the crystal. The model correctly reproduces the Bogomol'nyi-Prasad-Sommerfield (BPS) spectrum of mesons.

Authors:
 [1]
  1. School of Physics and Astronomy, Seoul National University, Seoul 151-747 (Korea, Republic of)
Publication Date:
OSTI Identifier:
20935243
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.101901; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; CONES; CRYSTAL LATTICES; DUALITY; FIELD THEORIES; M-THEORY; MESONS; POTENTIALS; TRANSFORMATIONS

Citation Formats

Lee, Sangmin. Superconformal field theories from M-theory crystal lattices. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.101901.
Lee, Sangmin. Superconformal field theories from M-theory crystal lattices. United States. doi:10.1103/PHYSREVD.75.101901.
Lee, Sangmin. Tue . "Superconformal field theories from M-theory crystal lattices". United States. doi:10.1103/PHYSREVD.75.101901.
@article{osti_20935243,
title = {Superconformal field theories from M-theory crystal lattices},
author = {Lee, Sangmin},
abstractNote = {We propose a brane configuration for the (2+1)d, N=2 superconformal theories (CFT{sub 3}) arising from M2 branes probing toric Calabi-Yau 4-fold cones, using a T-duality transformation of M theory. We obtain intersections of M5-branes on a three-torus which form a 3d bipartite crystal lattice in a way similar to the 2d dimer models for CFT{sub 4}. The fundamental fields of the CFT{sub 3} are M2-brane discs localized around the intersections, and the superpotential terms are identified with the atoms of the crystal. The model correctly reproduces the Bogomol'nyi-Prasad-Sommerfield (BPS) spectrum of mesons.},
doi = {10.1103/PHYSREVD.75.101901},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}