Generalized Calabi-Yau manifolds and the chiral de Rham complex

Reimundo Heluani; Maxim Zabzine

doi:10.1016/j.aim.2009.10.007

Generalized Calabi-Yau manifolds and the chiral de Rham complex

Reimundo Heluani^*, Maxim Zabzine

^*Corresponding author for this work

Mathematics

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

8 Scopus citations

Abstract

We show that the chiral de Rham complex of a generalized Calabi-Yau manifold carries N = 2 supersymmetry. We discuss the corresponding topological twist for this N = 2 algebra. We interpret this as an algebroid version of the super-Sugawara or Kac-Todorov construction.

Original language	English (US)
Pages (from-to)	1815-1844
Number of pages	30
Journal	Advances in Mathematics
Volume	223
Issue number	5
DOIs	https://doi.org/10.1016/j.aim.2009.10.007
State	Published - Mar 20 2010

Keywords

Chiral de Rham
Generalized Calabi-Yau
Generalized complex
Supersymmetry
Vertex algebra

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2009.10.007

Cite this

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title = "Generalized Calabi-Yau manifolds and the chiral de Rham complex",

abstract = "We show that the chiral de Rham complex of a generalized Calabi-Yau manifold carries N = 2 supersymmetry. We discuss the corresponding topological twist for this N = 2 algebra. We interpret this as an algebroid version of the super-Sugawara or Kac-Todorov construction.",

keywords = "Chiral de Rham, Generalized Calabi-Yau, Generalized complex, Supersymmetry, Vertex algebra",

author = "Reimundo Heluani and Maxim Zabzine",

year = "2010",

month = mar,

day = "20",

doi = "10.1016/j.aim.2009.10.007",

language = "English (US)",

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TY - JOUR

T1 - Generalized Calabi-Yau manifolds and the chiral de Rham complex

AU - Heluani, Reimundo

AU - Zabzine, Maxim

PY - 2010/3/20

Y1 - 2010/3/20

N2 - We show that the chiral de Rham complex of a generalized Calabi-Yau manifold carries N = 2 supersymmetry. We discuss the corresponding topological twist for this N = 2 algebra. We interpret this as an algebroid version of the super-Sugawara or Kac-Todorov construction.

AB - We show that the chiral de Rham complex of a generalized Calabi-Yau manifold carries N = 2 supersymmetry. We discuss the corresponding topological twist for this N = 2 algebra. We interpret this as an algebroid version of the super-Sugawara or Kac-Todorov construction.

KW - Chiral de Rham

KW - Generalized Calabi-Yau

KW - Generalized complex

KW - Supersymmetry

KW - Vertex algebra

UR - http://www.scopus.com/inward/record.url?scp=75149187341&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=75149187341&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2009.10.007

DO - 10.1016/j.aim.2009.10.007

M3 - Article

AN - SCOPUS:75149187341

SN - 0001-8708

VL - 223

SP - 1815

EP - 1844

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 5

ER -

Generalized Calabi-Yau manifolds and the chiral de Rham complex

Abstract

Keywords

ASJC Scopus subject areas

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