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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
O(D, D) and the string alpha' expansion: an obstruction
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10308 - Astronomy (including astrophysics,space science)

Project
<a href="/en/project/GA20-04800S" target="_blank" >GA20-04800S: Integrable deformations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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