Topological gravity with non-compact matter

Topological gravity with non-compact matter

Abstract We couple twisted non-compact N = (2, 2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kadomtsev-Petviashvili integrable hierarchy. Moreover, we prove recursion relations satisfied by the topologica...

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Main Authors: Songyuan Li, Jan Troost
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of High Energy Physics
Subjects:
2D Gravity
Integrable Hierarchies
Topological Field Theories
Online Access:http://link.springer.com/article/10.1007/JHEP01(2019)158
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spelling doaj-26ed747e038548f29eaaf7f8793332dd2020-11-25T01:30:45ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112610.1007/JHEP01(2019)158Topological gravity with non-compact matterSongyuan Li0Jan Troost1Laboratoire de Physique Théorique de l’ École Normale Supérieure, CNRS, PSL Research University and Sorbonne UniversitéLaboratoire de Physique Théorique de l’ École Normale Supérieure, CNRS, PSL Research University and Sorbonne UniversitéAbstract We couple twisted non-compact N = (2, 2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kadomtsev-Petviashvili integrable hierarchy. Moreover, we prove recursion relations satisfied by the topological gravity amplitudes at all genera and compute characteristic critical exponents. We discuss the extent to which moving beyond the N = 2 central charge barrier opens a window on two-dimensional gravity with central charge larger than one.http://link.springer.com/article/10.1007/JHEP01(2019)1582D GravityIntegrable HierarchiesTopological Field Theories
collection DOAJ
language English
format Article
sources DOAJ
author Songyuan Li
Jan Troost
spellingShingle Songyuan Li
Jan Troost
Topological gravity with non-compact matter
Journal of High Energy Physics
2D Gravity
Integrable Hierarchies
Topological Field Theories
author_facet Songyuan Li
Jan Troost
author_sort Songyuan Li
title Topological gravity with non-compact matter
title_short Topological gravity with non-compact matter
title_full Topological gravity with non-compact matter
title_fullStr Topological gravity with non-compact matter
title_full_unstemmed Topological gravity with non-compact matter
title_sort topological gravity with non-compact matter
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-01-01
description Abstract We couple twisted non-compact N = (2, 2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kadomtsev-Petviashvili integrable hierarchy. Moreover, we prove recursion relations satisfied by the topological gravity amplitudes at all genera and compute characteristic critical exponents. We discuss the extent to which moving beyond the N = 2 central charge barrier opens a window on two-dimensional gravity with central charge larger than one.
topic 2D Gravity
Integrable Hierarchies
Topological Field Theories
url http://link.springer.com/article/10.1007/JHEP01(2019)158
work_keys_str_mv AT songyuanli topologicalgravitywithnoncompactmatter
AT jantroost topologicalgravitywithnoncompactmatter
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