The c-map as a functor on certain variations of Hodge structure

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00125737" target="_blank" >RIV/00216224:14310/22:00125737 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s10711-022-00692-9" target="_blank" >https://link.springer.com/article/10.1007/s10711-022-00692-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10711-022-00692-9" target="_blank" >10.1007/s10711-022-00692-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The c-map as a functor on certain variations of Hodge structure

Popis výsledku v původním jazyce

We give a new manifestly natural presentation of the supergravity c-map. We achieve this by giving a more explicit description of the correspondence between projective special Kähler manifolds and variations of Hodge structure, and by demonstrating that the twist construction of Swann, for a certain kind of twist data, reduces to a quotient by a discrete group. We combine these two ideas by showing that variations of Hodge structure give rise to the aforementioned kind of twist data and by then applying the twist realisation of the c-map due to Macia and Swann. This extends previous results regarding the lifting of general isomorphisms along the undeformed c-map, and of infinitesimal automorphisms along the deformed c-map. We show in fact that general isomorphisms can be naturally lifted along the deformed c-map.

Název v anglickém jazyce

The c-map as a functor on certain variations of Hodge structure

Popis výsledku anglicky

We give a new manifestly natural presentation of the supergravity c-map. We achieve this by giving a more explicit description of the correspondence between projective special Kähler manifolds and variations of Hodge structure, and by demonstrating that the twist construction of Swann, for a certain kind of twist data, reduces to a quotient by a discrete group. We combine these two ideas by showing that variations of Hodge structure give rise to the aforementioned kind of twist data and by then applying the twist realisation of the c-map due to Macia and Swann. This extends previous results regarding the lifting of general isomorphisms along the undeformed c-map, and of infinitesimal automorphisms along the deformed c-map. We show in fact that general isomorphisms can be naturally lifted along the deformed c-map.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA19-06357S" target="_blank" >GA19-06357S: Geometrické struktury, diferenciální operátory a symetrie</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Geometriae Dedicata

ISSN

0046-5755

e-ISSN

1572-9168

Svazek periodika

216

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

42

Strana od-do

1-42

Kód UT WoS článku

000782995400001

EID výsledku v databázi Scopus

2-s2.0-85128298062