101. Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
- Author
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Yuho Sakatani and S. Uehara
- Subjects
High Energy Physics - Theory ,M-theory ,Physics ,010308 nuclear & particles physics ,Supergravity ,General Physics and Astronomy ,Order (ring theory) ,FOS: Physical sciences ,Torus ,01 natural sciences ,Linear map ,Transformation (function) ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,Metric (mathematics) ,Field theory (psychology) ,010306 general physics ,Mathematical physics - Abstract
In the exceptional field theory, there are two natural parameterizations for the generalized metric; in terms of bosonic fields in the eleven-dimensional supergravity (M-theory parameterization) and the type IIB supergravity (type IIB parameterization). In order to translate various results known in the M-theory to the type IIB theory or vice versa, an explicit map between the two parameterizations will be useful. In this note, we present such a linear map. Comparing the two parameterizations under the linear map, we reproduce the known T-duality transformation rules for the supergravity fields. We also obtain the T-duality rules for non-geometric $\beta$-/$\gamma$-fields appearing in the type II theory on a torus., Comment: 33 pages; v2: typos corrected, a reference added, to appear in PTEP
- Published
- 2017
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