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Title: An extremal $${\mathcal{N}}=2$$ superconformal field theory

Journal Article · · Journal of Physics. A, Mathematical and Theoretical
 [1];  [1];  [1];  [1]
  1. Stanford Univ., Stanford, CA (United States). Stanford Institute for Theoretical Physics, Dept. of Physics and Theory Group, SLAC

Here, we provide an example of an extremal chiral $${\mathcal{N}}$$ = 2 superconformal field theory at c = 24. The construction is based on a $${{\mathbb{Z}}}_{2}$$ orbifold of the theory associated to the $${A}_{1}^{24}$$ Niemeier lattice. The statespace is governed by representations of the sporadic group M 23.

Research Organization:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1263422
Report Number(s):
SLAC-PUB-16616; arXiv:1507.00004
Journal Information:
Journal of Physics. A, Mathematical and Theoretical, Vol. 48, Issue 49; ISSN 1751-8113
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

References (13)

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Universal spectrum of 2d conformal field theory in the large c limit journal September 2014
Super-moonshine for Conway's largest sporadic group journal August 2007
Extremal $\CN=(2,2)$ 2D conformal field theories and constraints of modularity journal January 2008
Beauty and the beast: Superconformal symmetry in a monster module journal June 1988
Extension of n = 2 Superconformal Algebra and Calabi-Yau Compactification journal March 1989
c=3d CONFORMAL ALGEBRA WITH EXTENDED SUPERSYMMETRY journal March 1990
Orbifold constructions and the classification of self-dual c = 24 conformal field theories journal October 1994
Asymmetric orbifolds journal January 1987
Chiral rings in N = 2 superconformal theories journal September 1989
Calculus of twisted vertex operators journal December 1985
Conformal field theory of twisted vertex operators journal July 1990

Cited By (2)

Black holes and class groups journal October 2018
Black holes and class groups preprint January 2018

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