SUSY vertex algebras and supercurves

Reimundo Heluani

doi:10.1007/s00220-007-0325-0

SUSY vertex algebras and supercurves

Reimundo Heluani^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct a vector bundle script V sign^r_X on X, the fiber of which is isomorphic to V. Moreover, the state-field correspondence of V canonically gives rise to (local) sections of these vector bundles. We also define chiral algebras on any supercurve X, and show that the vector bundle script V sign^r_X , corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.

Original language	English (US)
Pages (from-to)	607-658
Number of pages	52
Journal	Communications in Mathematical Physics
Volume	275
Issue number	3
DOIs	https://doi.org/10.1007/s00220-007-0325-0
State	Published - Nov 2007

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s00220-007-0325-0

Cite this

@article{3019eeac75f94fa29e07872fe21ebd41,

title = "SUSY vertex algebras and supercurves",

abstract = "Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct a vector bundle script V signrX on X, the fiber of which is isomorphic to V. Moreover, the state-field correspondence of V canonically gives rise to (local) sections of these vector bundles. We also define chiral algebras on any supercurve X, and show that the vector bundle script V signrX , corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.",

author = "Reimundo Heluani",

year = "2007",

month = nov,

doi = "10.1007/s00220-007-0325-0",

language = "English (US)",

volume = "275",

pages = "607--658",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - SUSY vertex algebras and supercurves

AU - Heluani, Reimundo

PY - 2007/11

Y1 - 2007/11

N2 - Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct a vector bundle script V signrX on X, the fiber of which is isomorphic to V. Moreover, the state-field correspondence of V canonically gives rise to (local) sections of these vector bundles. We also define chiral algebras on any supercurve X, and show that the vector bundle script V signrX , corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.

AB - Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct a vector bundle script V signrX on X, the fiber of which is isomorphic to V. Moreover, the state-field correspondence of V canonically gives rise to (local) sections of these vector bundles. We also define chiral algebras on any supercurve X, and show that the vector bundle script V signrX , corresponding to a SUSY vertex algebra, carries the structure of a chiral algebra.

UR - http://www.scopus.com/inward/record.url?scp=34548443296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548443296&partnerID=8YFLogxK

U2 - 10.1007/s00220-007-0325-0

DO - 10.1007/s00220-007-0325-0

M3 - Article

AN - SCOPUS:34548443296

SN - 0010-3616

VL - 275

SP - 607

EP - 658

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

SUSY vertex algebras and supercurves

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this