O(D, D) and the string alpha' expansion: an obstruction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00118956" target="_blank" >RIV/00216224:14310/21:00118956 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/JHEP04(2021)013" target="_blank" >https://doi.org/10.1007/JHEP04(2021)013</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP04(2021)013" target="_blank" >10.1007/JHEP04(2021)013</a>

Jazyk výsledku

angličtina

Název v původním jazyce

O(D, D) and the string alpha' expansion: an obstruction

Popis výsledku v původním jazyce

Double Field Theory (DFT) is an attempt to make the O(d, d) T-duality symmetry of string theory manifest, already before reducing on a d-torus. It is known that supergravity can be formulated in an O(D, D) covariant way, and remarkably this remains true to the first order in alpha'. We set up a systematic way to analyze O(D, D) invariants, working order by order in fields, which we carry out up to order alpha'(3). At order alpha' we recover the known Riemann squared invariant, while at order alpha'(2) we find no independent invariant. This is compatible with the alpha' expansion in string theory. However, at order alpha'(3) we show that there is again no O(D, D) invariant, in contradiction to the fact that all string theories have quartic Riemann terms with coefficient proportional to zeta(3). We conclude that DFT and similar frameworks cannot capture the full alpha' expansion in string theory.

Název v anglickém jazyce

O(D, D) and the string alpha' expansion: an obstruction

Popis výsledku anglicky

Double Field Theory (DFT) is an attempt to make the O(d, d) T-duality symmetry of string theory manifest, already before reducing on a d-torus. It is known that supergravity can be formulated in an O(D, D) covariant way, and remarkably this remains true to the first order in alpha'. We set up a systematic way to analyze O(D, D) invariants, working order by order in fields, which we carry out up to order alpha'(3). At order alpha' we recover the known Riemann squared invariant, while at order alpha'(2) we find no independent invariant. This is compatible with the alpha' expansion in string theory. However, at order alpha'(3) we show that there is again no O(D, D) invariant, in contradiction to the fact that all string theories have quartic Riemann terms with coefficient proportional to zeta(3). We conclude that DFT and similar frameworks cannot capture the full alpha' expansion in string theory.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

<a href="/cs/project/GA20-04800S" target="_blank" >GA20-04800S: Integrabilni deformace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Journal of High Energy Physics

ISSN

1029-8479

e-ISSN

—

Svazek periodika

2021

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

24

Strana od-do

„13“

Kód UT WoS článku

000637394900001

EID výsledku v databázi Scopus

2-s2.0-85103955985