T-Duality from super Lie n-algebra cocycles for super p-branes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00504774" target="_blank" >RIV/67985840:_____/18:00504774 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4310/ATMP.2018.v22.n5.a3" target="_blank" >http://dx.doi.org/10.4310/ATMP.2018.v22.n5.a3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/ATMP.2018.v22.n5.a3" target="_blank" >10.4310/ATMP.2018.v22.n5.a3</a>
Alternative languages
Result language
angličtina
Original language name
T-Duality from super Lie n-algebra cocycles for super p-branes
Original language description
We compute the L-infinity-theoretic double dimensional reduction of the F1/Dp-brane super L-infinity-cocycles with coefficients in rationalized twisted K-theory from the 10d type IIA and type IIB super Lie algebras down to 9d. We show that the two resulting coefficient L-infinity-algebras are naturally related by an L-infinity-isomorphism which we find to act on the super p-brane cocycles by the infinitesimal version of the rules of topological T-duality and inducing an isomorphism between K-0-cocycles in type IIA and K-1-cocycles in type IIB, rationally. In particular this is a derivation of the Buscher rules for RR-fields (Hori's formula) from first principles. Moreover, we show that these L-infinity-algebras are the homotopy quotients of the RR-charge coefficients by the T-duality Lie 2-algebra. We find that the induced L-infinity-extension is a gerby extension of a 9 + (1 + 1) dimensional (i.e. doubled) T-duality correspondence super-spacetime, which serves as a local model for T-folds. We observe that this still extends, via the D0-brane cocycle of its type IIA factor, to a 10 + (1 + 1)-dimensional super Lie algebra. Finally we show that this satisfies expected properties of a local model space for F-theory elliptic fibrations.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
Advances in Theoretical and Mathematical Physics
ISSN
1095-0761
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
62
Pages from-to
1209-1270
UT code for WoS article
000466715600003
EID of the result in the Scopus database
2-s2.0-85066037937