Geometry of an N=4 twisted string

Stefano Bellucci, Alexei Deriglazov, Anton Galajinsky

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We compare N=2 strings and N=4 topological strings within the framework of the sigma model approach. Being classically equivalent on a flat background, the theories are shown to lead to different geometries when put in a curved space. In contrast with the well studied Kahler geometry characterizing the former case, in the latter case a manifold has to admit a covariantly constant holomorphic two-form in order to support an N =4 twisted supersymmetry. This restricts the holonomy group to be a subgroup of SU(1,1) and leads to a Ricci-flat manifold. We speculate that the N=4 topological formalism is an appropriate framework to smooth down ultraviolet divergences intrinsic to the N=2 theory.

Original languageEnglish
Article number104026
JournalPhysical Review D
Volume65
Issue number10
DOIs
Publication statusPublished - 2002

Fingerprint

strings
Strings
Holonomy Group
Flat Manifold
Sigma Models
subgroups
geometry
Supersymmetry
Ultraviolet
supersymmetry
Divergence
divergence
Subgroup
formalism
Framework
Background
Form

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Geometry of an N=4 twisted string. / Bellucci, Stefano; Deriglazov, Alexei; Galajinsky, Anton.

In: Physical Review D, Vol. 65, No. 10, 104026, 2002.

Research output: Contribution to journalArticle

Bellucci, Stefano ; Deriglazov, Alexei ; Galajinsky, Anton. / Geometry of an N=4 twisted string. In: Physical Review D. 2002 ; Vol. 65, No. 10.
@article{22a994df520a470f9ed97068e3e0215a,
title = "Geometry of an N=4 twisted string",
abstract = "We compare N=2 strings and N=4 topological strings within the framework of the sigma model approach. Being classically equivalent on a flat background, the theories are shown to lead to different geometries when put in a curved space. In contrast with the well studied Kahler geometry characterizing the former case, in the latter case a manifold has to admit a covariantly constant holomorphic two-form in order to support an N =4 twisted supersymmetry. This restricts the holonomy group to be a subgroup of SU(1,1) and leads to a Ricci-flat manifold. We speculate that the N=4 topological formalism is an appropriate framework to smooth down ultraviolet divergences intrinsic to the N=2 theory.",
author = "Stefano Bellucci and Alexei Deriglazov and Anton Galajinsky",
year = "2002",
doi = "10.1103/PhysRevD.65.104026",
language = "English",
volume = "65",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "10",

}

TY - JOUR

T1 - Geometry of an N=4 twisted string

AU - Bellucci, Stefano

AU - Deriglazov, Alexei

AU - Galajinsky, Anton

PY - 2002

Y1 - 2002

N2 - We compare N=2 strings and N=4 topological strings within the framework of the sigma model approach. Being classically equivalent on a flat background, the theories are shown to lead to different geometries when put in a curved space. In contrast with the well studied Kahler geometry characterizing the former case, in the latter case a manifold has to admit a covariantly constant holomorphic two-form in order to support an N =4 twisted supersymmetry. This restricts the holonomy group to be a subgroup of SU(1,1) and leads to a Ricci-flat manifold. We speculate that the N=4 topological formalism is an appropriate framework to smooth down ultraviolet divergences intrinsic to the N=2 theory.

AB - We compare N=2 strings and N=4 topological strings within the framework of the sigma model approach. Being classically equivalent on a flat background, the theories are shown to lead to different geometries when put in a curved space. In contrast with the well studied Kahler geometry characterizing the former case, in the latter case a manifold has to admit a covariantly constant holomorphic two-form in order to support an N =4 twisted supersymmetry. This restricts the holonomy group to be a subgroup of SU(1,1) and leads to a Ricci-flat manifold. We speculate that the N=4 topological formalism is an appropriate framework to smooth down ultraviolet divergences intrinsic to the N=2 theory.

UR - http://www.scopus.com/inward/record.url?scp=0037053119&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037053119&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.65.104026

DO - 10.1103/PhysRevD.65.104026

M3 - Article

VL - 65

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 104026

ER -