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

J 2021

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

HRONEK, Stanislav and Jörgen Linus WULFF

Basic information

Original name

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

Authors

HRONEK, Stanislav (203 Czech Republic, belonging to the institution) and Jörgen Linus WULFF (752 Sweden, guarantor, belonging to the institution)

Edition

Journal of High Energy Physics, Springer, 2021, 1029-8479

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10308 Astronomy

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Impact factor

Impact factor: 6.376

RIV identification code

RIV/00216224:14310/21:00118956

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1007/JHEP04(2021)013

UT WoS

000637394900001

EID Scopus

2-s2.0-85103955985

Keywords in English

Bosonic Strings; Global Symmetries; String Duality; Superstrings and Heterotic Strings

Abstract

In the original language

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.

Links

GA20-04800S, research and development project

Name: Integrabilni deformace

Investor: Czech Science Foundation

Cite

HRONEK, Stanislav and Jörgen Linus WULFF. O(D, D) and the string alpha' expansion: an obstruction. Journal of High Energy Physics. Springer, 2021, vol. 2021, No 4, p. "13", 24 pp. ISSN 1029-8479. Available from: https://dx.doi.org/10.1007/JHEP04(2021)013.

@article{1766077,
   author = {Hronek, Stanislav and Wulff, Jörgen Linus},
   article_number = {4},
   doi = {http://dx.doi.org/10.1007/JHEP04(2021)013},
   keywords = {Bosonic Strings; Global Symmetries; String Duality; Superstrings and Heterotic Strings},
   language = {eng},
   issn = {1029-8479},
   journal = {Journal of High Energy Physics},
   title = {O(D, D) and the string alpha' expansion: an obstruction},
   url = {https://doi.org/10.1007/JHEP04(2021)013},
   volume = {2021},
   year = {2021}
}

TY  - JOUR
ID  - 1766077
AU  - Hronek, Stanislav - Wulff, Jörgen Linus
PY  - 2021
TI  - O(D, D) and the string alpha' expansion: an obstruction
JF  - Journal of High Energy Physics
VL  - 2021
IS  - 4
SP  - "13"
EP  - "13"
PB  - Springer
SN  - 10298479
KW  - Bosonic Strings
KW  - Global Symmetries
KW  - String Duality
KW  - Superstrings and Heterotic Strings
UR  - https://doi.org/10.1007/JHEP04(2021)013
N2  - 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.
ER  -

HRONEK, Stanislav and Jörgen Linus WULFF. O(D, D) and the string alpha' expansion: an obstruction. \textit{Journal of High Energy Physics}. Springer, 2021, vol.~2021, No~4, p.~''13'', 24 pp. ISSN~1029-8479. Available from: https://dx.doi.org/10.1007/JHEP04(2021)013.

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