Open-closed modular operads, the Cardy condition and string field theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00499147" target="_blank" >RIV/67985840:_____/18:00499147 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/18:10389565
Result on the web
<a href="http://dx.doi.org/10.4171/JNCG/310" target="_blank" >http://dx.doi.org/10.4171/JNCG/310</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/JNCG/310" target="_blank" >10.4171/JNCG/310</a>
Alternative languages
Result language
angličtina
Original language name
Open-closed modular operads, the Cardy condition and string field theory
Original language description
We prove that the modular operad of diffeomorphism classes of Riemann surfaces with both “open” and “closed” boundary components, in the sense of string field theory, is the modular completion of its genus 0 part quotiented by the Cardy condition. We also provide a finitary presentation of a version of this modular two-colored operad and characterize its algebras via morphisms of Frobenius algebras, recovering some previously known results of Kaufmann, Penner and others. As an important auxiliary tool we characterize inclusions of cyclic operads that induce inclusions of their modular completions.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Noncommutative Geometry
ISSN
1661-6952
e-ISSN
—
Volume of the periodical
12
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
66
Pages from-to
1359-1424
UT code for WoS article
000453796600005
EID of the result in the Scopus database
2-s2.0-85061310474