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Curiosities at c-effective = 1

Abstract

The moduli space of all rational conformal quantum field theories with effective central charge c{sub eff} = 1 is considered. Whereas the space of unitary theories essentially forms a manifold, the non unitary ones form a fractal which lies dense in the parameter plane. Moreover, the points of this set are shown to be in one-to-one correspondence with the elements of the modular group for which an action on this set is defined. (orig.)
Authors:
Publication Date:
Dec 01, 1993
Product Type:
Technical Report
Report Number:
BONN-HE-93-43; HEP-TH-9301297
Reference Number:
SCA: 662110; PA: DEN-94:0F7291; EDB-94:084977; ERA-19:019950; NTS-95:004805; SN: 94001208156
Resource Relation:
Other Information: PBD: Dec 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRAIC FIELD THEORY; CONFORMAL INVARIANCE; EFFECTIVE CHARGE; FRACTALS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; CONFORMAL GROUPS; U-1 GROUPS; PARTITION FUNCTIONS; COMPACTIFICATION; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10153475
Research Organizations:
Bonn Univ. (Germany). Physikalisches Inst.
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0172-8733; Other: ON: DE94769123; TRN: DE94F7291
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
14 p.
Announcement Date:
Jul 06, 2005

Citation Formats

Flohr, M A.I. Curiosities at c-effective = 1. Germany: N. p., 1993. Web.
Flohr, M A.I. Curiosities at c-effective = 1. Germany.
Flohr, M A.I. 1993. "Curiosities at c-effective = 1." Germany.
@misc{etde_10153475,
title = {Curiosities at c-effective = 1}
author = {Flohr, M A.I.}
abstractNote = {The moduli space of all rational conformal quantum field theories with effective central charge c{sub eff} = 1 is considered. Whereas the space of unitary theories essentially forms a manifold, the non unitary ones form a fractal which lies dense in the parameter plane. Moreover, the points of this set are shown to be in one-to-one correspondence with the elements of the modular group for which an action on this set is defined. (orig.)}
place = {Germany}
year = {1993}
month = {Dec}
}