Speaker
Description
Understanding the symmetry structure of string and supergravity compactifications is a key ingredient in uncovering universal constraints on quantum gravity effective actions. In Kaluza–Klein compactifications, some symmetries of the higher-dimensional theory are preserved in lower dimensions, others are broken, and occasionally symmetry enhancements occur. The symmetries that are enhanced by toroidal compactifications were shown to define a symmetry principle with constrained parameters that fixes the action before dimensional reduction [1,2].
In a recent paper [3], we showed the opposite: symmetries of the higher-dimensional theory that are broken in the reduction process can be realized after dimensional reduction as a global symmetry principle with constrained parameters that fixes couplings in the lower-dimensional theory. This provides a new organizing principle for higher-derivative corrections in string effective actions.
In this talk, I will explain this principle and show how to implement it in pure gravity, half-maximal supergravity, and the circle reduction of 11-dimensional supergravity to Type IIA theory. I will also show how to use it to constrain the quartic Ramond–Ramond couplings in Type IIA theory from the four-point $\zeta(3)\, \alpha'{}^3\, t_8 t_8 R^{(-) 4}$ interactions.
References:
[1] W.H.Baron, D.Marques and C.A.Nunez, Phys. Rev. Lett. 130 no.6,061601 (2023).
[2] W.H.Baron, D.Marques and C.A.Nunez, JHEP 12, 006 (2023).
[3] M.Ciafardini, D.Marques, C.A.Nunez, and A.Pereyra Grau, JHEP 02,072 (2025).