T-Duality from super Lie n-algebra cocycles for super p-branes

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

T-Duality from super Lie n-algebra cocycles for super p-branes

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

T-Duality from super Lie n-algebra cocycles for super p-branes

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Advances in Theoretical and Mathematical Physics

ISSN

1095-0761

e-ISSN

—

Svazek periodika

22

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

62

Strana od-do

1209-1270

Kód UT WoS článku

000466715600003

EID výsledku v databázi Scopus

2-s2.0-85066037937