(Super)conformal algebra on the (super)torus

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A generalization of the Virasoro algebra has recently been introduced by Krichever and Novikov (KN). The KN algebra describes the algebra of general conformal transformations in a basis appropriate to a genus-g Riemann surface. We examine in detail the genus-one KN algebra, and find explicit expressions for the central extension. We, further, construct explicitly the superconformal algebra of the supertorus, which yields supersymmetric generalizations of the genus-one KN algebra. A novel feature of the odd-spin-structure case is that the algebra includes a central element which is anticommuting. We comment on possible applications to string theory.

Original languageEnglish (US)
Pages (from-to)43-78
Number of pages36
JournalNuclear Physics B
Volume315
Issue number1
DOIs
StatePublished - Mar 13 1989

Fingerprint

algebra
conformal mapping
string theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

(Super)conformal algebra on the (super)torus. / Mezincescu, Alexandru; Nepomechie, Rafael; Zachos, Cosmas K.

In: Nuclear Physics B, Vol. 315, No. 1, 13.03.1989, p. 43-78.

Research output: Contribution to journalArticle

@article{6f19ab6b4d6e4876b9af5a685b8a95e0,
title = "(Super)conformal algebra on the (super)torus",
abstract = "A generalization of the Virasoro algebra has recently been introduced by Krichever and Novikov (KN). The KN algebra describes the algebra of general conformal transformations in a basis appropriate to a genus-g Riemann surface. We examine in detail the genus-one KN algebra, and find explicit expressions for the central extension. We, further, construct explicitly the superconformal algebra of the supertorus, which yields supersymmetric generalizations of the genus-one KN algebra. A novel feature of the odd-spin-structure case is that the algebra includes a central element which is anticommuting. We comment on possible applications to string theory.",
author = "Alexandru Mezincescu and Rafael Nepomechie and Zachos, {Cosmas K.}",
year = "1989",
month = "3",
day = "13",
doi = "10.1016/0550-3213(89)90448-3",
language = "English (US)",
volume = "315",
pages = "43--78",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - (Super)conformal algebra on the (super)torus

AU - Mezincescu, Alexandru

AU - Nepomechie, Rafael

AU - Zachos, Cosmas K.

PY - 1989/3/13

Y1 - 1989/3/13

N2 - A generalization of the Virasoro algebra has recently been introduced by Krichever and Novikov (KN). The KN algebra describes the algebra of general conformal transformations in a basis appropriate to a genus-g Riemann surface. We examine in detail the genus-one KN algebra, and find explicit expressions for the central extension. We, further, construct explicitly the superconformal algebra of the supertorus, which yields supersymmetric generalizations of the genus-one KN algebra. A novel feature of the odd-spin-structure case is that the algebra includes a central element which is anticommuting. We comment on possible applications to string theory.

AB - A generalization of the Virasoro algebra has recently been introduced by Krichever and Novikov (KN). The KN algebra describes the algebra of general conformal transformations in a basis appropriate to a genus-g Riemann surface. We examine in detail the genus-one KN algebra, and find explicit expressions for the central extension. We, further, construct explicitly the superconformal algebra of the supertorus, which yields supersymmetric generalizations of the genus-one KN algebra. A novel feature of the odd-spin-structure case is that the algebra includes a central element which is anticommuting. We comment on possible applications to string theory.

UR - http://www.scopus.com/inward/record.url?scp=25544454840&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25544454840&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(89)90448-3

DO - 10.1016/0550-3213(89)90448-3

M3 - Article

AN - SCOPUS:25544454840

VL - 315

SP - 43

EP - 78

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -