Header

UZH-Logo

Maintenance Infos

Tautological relations in Hodge field theory - Zurich Open Repository and Archive


Losev, A; Shadrin, S; Shneiberg, I (2007). Tautological relations in Hodge field theory. Nuclear Physics. Section B, 786(3):267-296.

Abstract

We propose a Hodge field theory construction that captures algebraic properties of the reduction of Zwiebach invariants to Gromov–Witten invariants. It generalizes the Barannikov–Kontsevich construction to the case of higher genera correlators with gravitational descendants. We prove the main theorem stating that algebraically defined Hodge field theory correlators satisfy all tautological relations. From this perspective the statement that Barannikov–Kontsevich construction provides a solution of the WDVV equation looks as the simplest particular case of our theorem. Also it generalizes the particular cases of other low-genera tautological relations proven in our earlier works; we replace the old technical proofs by a novel conceptual proof.

Abstract

We propose a Hodge field theory construction that captures algebraic properties of the reduction of Zwiebach invariants to Gromov–Witten invariants. It generalizes the Barannikov–Kontsevich construction to the case of higher genera correlators with gravitational descendants. We prove the main theorem stating that algebraically defined Hodge field theory correlators satisfy all tautological relations. From this perspective the statement that Barannikov–Kontsevich construction provides a solution of the WDVV equation looks as the simplest particular case of our theorem. Also it generalizes the particular cases of other low-genera tautological relations proven in our earlier works; we replace the old technical proofs by a novel conceptual proof.

Citations

4 citations in Web of Science®
3 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

55 downloads since deposited on 15 Dec 2009
6 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2007
Deposited On:15 Dec 2009 12:52
Last Modified:05 Apr 2016 13:23
Publisher:Elsevier
ISSN:0550-3213
Publisher DOI:https://doi.org/10.1016/j.nuclphysb.2007.07.003
Related URLs:http://arxiv.org/abs/0704.1001

Download

Preview Icon on Download
Preview
Content: Accepted Version
Filetype: PDF
Size: 387kB
View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations