Gauge / gravity dualities
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Massless positivity in graviton exchange
Herrero-Valea, Mario; Santos-Garcia, Raquel; Tokareva, Anna (American Physical Society (APS), 2021)We formulate positivity bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real ... -
The 1-loop effective potential for the Standard Model in curved spacetime
Markkanen, Tommi; Nurmi, Sami; Rajantie, Arttu; Stopyra, Stephen (Springer, 2018)The renormalisation group improved Standard Model effective potential in an arbitrary curved spacetime is computed to one loop order in perturbation theory. The loop corrections are computed in the ultraviolet limit, which ... -
On the Modulus Duality in Arbitrary Codimension
Lohvansuu, Atte (Oxford University Press (OUP), 2022)We study the modulus of dual families of k- and (n−k)-dimensional Lipschitz chains of Euclidean n-cubes and establish half of the modulus duality identity. -
Duality of moduli in regular toroidal metric spaces
Lohvansuu, Atte (Finnish Mathematical Society, 2021)We generalize a result of Freedman and He [4, Theorem 2.5], concerning the duality of moduli and capacities in solid tori, to sufficiently regular metric spaces. This is a continuation of the work of the author and Rajala ... -
Poincaré duality for open sets in Euclidean spaces
Moisala, Terhi (2016)Todistamme tässä työssä Poincarén dualiteetin Euklidisten avaruuksien avoimille joukoille. Annamme lyhyen johdatuksen differentiaaligeometriaan ja määrittelemme de Rham -kohomologian käsitteen. Itse Poincarén dualiteetin ...
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