TY - JOUR
T1 - Exceptional Algebroids and Type IIA Superstrings
AU - Hulík, Ondřej
AU - Valach, Fridrich
N1 - Funding Information:
The authors would like to thank Alex Arvanitakis, Mark Bugden, Yuho Sakatani, and Daniel Waldram for helpful discussions and comments. O. H. was supported by the FWO-Vlaanderen through the project G006119N and by the Vrije Universiteit Brussel through the Strategic Research Program “High-Energy Physics”. F. V. was supported by the Early Postdoc Mobility grant P2GEP2_188247 and the Postdoc Mobility grant P500PT_203123 of the Swiss National Science Foundation.
Publisher Copyright:
© 2022 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH.
PY - 2022/6
Y1 - 2022/6
N2 - We study exceptional algebroids in the context of warped compactifications of type IIA string theory down to n dimensions, with (Formula presented.). In contrast to the M-theory and type IIB case, the relevant algebroids are no longer exact, and their locali moduli space is no longer trivial, but has 5 distinct points. This relates to two possible scalar deformations of the IIA theory. The proof of the local classification shows that, in addition to these scalar deformations, one can twist the bracket using a pair of 1-forms, a 2-form, a 3-form, and a 4-form. Furthermore, we use the analysis to translate the classification of Leibniz parallelisable spaces (corresponding to maximally supersymmetric consistent truncations) into a tractable algebraic problem. We finish with a discussion of the Poisson–Lie U-duality and examples given by tori and spheres in 2, 3, and 4 dimensions.
AB - We study exceptional algebroids in the context of warped compactifications of type IIA string theory down to n dimensions, with (Formula presented.). In contrast to the M-theory and type IIB case, the relevant algebroids are no longer exact, and their locali moduli space is no longer trivial, but has 5 distinct points. This relates to two possible scalar deformations of the IIA theory. The proof of the local classification shows that, in addition to these scalar deformations, one can twist the bracket using a pair of 1-forms, a 2-form, a 3-form, and a 4-form. Furthermore, we use the analysis to translate the classification of Leibniz parallelisable spaces (corresponding to maximally supersymmetric consistent truncations) into a tractable algebraic problem. We finish with a discussion of the Poisson–Lie U-duality and examples given by tori and spheres in 2, 3, and 4 dimensions.
KW - algebroids
KW - generalised geometry
KW - Poisson-Lie U-duality
KW - type IIA superstring
UR - http://www.scopus.com/inward/record.url?scp=85130292348&partnerID=8YFLogxK
U2 - 10.1002/prop.202200027
DO - 10.1002/prop.202200027
M3 - Article
AN - SCOPUS:85130292348
SN - 0015-8208
VL - 70
JO - Fortschritte der Physik
JF - Fortschritte der Physik
IS - 6
M1 - 2200027
ER -