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@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 a Jörgen Linus WULFF. O(D, D) and the string alpha' expansion: an obstruction. \textit{Journal of High Energy Physics}. Springer, 2021, roč.~2021, č.~4, s.~''13'', 24 s. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP04(2021)013.
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