Cargando…

On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds

We discuss how to obtain an N=(2,2) supersymmetric SU(3) gauge theory in two dimensions via geometric engineering from a Calabi-Yau 4-fold and compute its non-perturbative twisted chiral potential. The relevant compact part of the 4-fold geometry consists of two intersecting P^1's fibered over...

Descripción completa

Detalles Bibliográficos
Autor principal: Kaste, P
Lenguaje:eng
Publicado: 1999
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/1999/06/021
http://cds.cern.ch/record/386294
_version_ 1780893586703777792
author Kaste, P
author_facet Kaste, P
author_sort Kaste, P
collection CERN
description We discuss how to obtain an N=(2,2) supersymmetric SU(3) gauge theory in two dimensions via geometric engineering from a Calabi-Yau 4-fold and compute its non-perturbative twisted chiral potential. The relevant compact part of the 4-fold geometry consists of two intersecting P^1's fibered over P^2. The rigid limit of the local mirror of this geometry is a complex surface that generalizes the Seiberg-Witten curve and on which there exist two holomorphic 2-forms. These stem from the same meromorphic 2-form as derivatives w.r.t. the two moduli, respectively. The middle periods of this meromorphic form give directly the twisted chiral potential. The explicit computation of these and of the four-point Yukawa couplings allows for a non-trivial test of the analogue of rigid special geometry for a 4-fold with several moduli.
id cern-386294
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
record_format invenio
spelling cern-3862942019-09-30T06:29:59Zdoi:10.1088/1126-6708/1999/06/021http://cds.cern.ch/record/386294engKaste, POn the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-foldsParticle Physics - TheoryWe discuss how to obtain an N=(2,2) supersymmetric SU(3) gauge theory in two dimensions via geometric engineering from a Calabi-Yau 4-fold and compute its non-perturbative twisted chiral potential. The relevant compact part of the 4-fold geometry consists of two intersecting P^1's fibered over P^2. The rigid limit of the local mirror of this geometry is a complex surface that generalizes the Seiberg-Witten curve and on which there exist two holomorphic 2-forms. These stem from the same meromorphic 2-form as derivatives w.r.t. the two moduli, respectively. The middle periods of this meromorphic form give directly the twisted chiral potential. The explicit computation of these and of the four-point Yukawa couplings allows for a non-trivial test of the analogue of rigid special geometry for a 4-fold with several moduli.hep-th/9904218CERN-TH-99-114oai:cds.cern.ch:3862941999-05-03
spellingShingle Particle Physics - Theory
Kaste, P
On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds
title On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds
title_full On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds
title_fullStr On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds
title_full_unstemmed On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds
title_short On the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds
title_sort on the twisted chiral potential in 2d and the analogue of rigid special geometry for 4-folds
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/1999/06/021
http://cds.cern.ch/record/386294
work_keys_str_mv AT kastep onthetwistedchiralpotentialin2dandtheanalogueofrigidspecialgeometryfor4folds