000087633 001__ 87633 000087633 005__ 20220817094617.0 000087633 0247_ $$2doi$$a10.1103/PhysRevD.100.104031 000087633 0248_ $$2sideral$$a115863 000087633 037__ $$aART-2019-115863 000087633 041__ $$aeng 000087633 100__ $$0(orcid)0000-0003-2264-2306$$aCarmona, J.M.$$uUniversidad de Zaragoza 000087633 245__ $$aRelativistic deformed kinematics from momentum space geometry 000087633 260__ $$c2019 000087633 5060_ $$aAccess copy available to the general public$$fUnrestricted 000087633 5203_ $$aWe present a way to derive a deformation of special relativistic kinematics (possible low-energy signal of a quantum theory of gravity) from the geometry of a maximally symmetric curved momentum space. The deformed kinematics is fixed (up to change of coordinates in the momentum variables) by the algebra of isometries of the metric in momentum space. In particular, the well-known example of ¿-Poincaré kinematics is obtained when one considers an isotropic metric in de Sitter momentum space such that translations are a subgroup of the isometry group, and for a Lorentz covariant algebra one gets the also well-known case of Snyder kinematics. We prove that our construction gives generically a relativistic kinematics and explain how it relates to previous attempts of connecting a deformed kinematics with a geometry in momentum space. 000087633 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-2$$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/FPA2015-65745-P$$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-095328-B-I00 000087633 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000087633 590__ $$a4.833$$b2019 000087633 591__ $$aPHYSICS, PARTICLES & FIELDS$$b6 / 29 = 0.207$$c2019$$dQ1$$eT1 000087633 591__ $$aASTRONOMY & ASTROPHYSICS$$b16 / 68 = 0.235$$c2019$$dQ1$$eT1 000087633 592__ $$a1.664$$b2019 000087633 593__ $$aPhysics and Astronomy (miscellaneous)$$c2019$$dQ1 000087633 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000087633 700__ $$0(orcid)0000-0002-8282-3435$$aCortés, J.L.$$uUniversidad de Zaragoza 000087633 700__ $$0(orcid)0000-0003-1130-3982$$aRelancio, J.J.$$uUniversidad de Zaragoza 000087633 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000087633 7102_ $$12004$$2390$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Atóm.Molec.y Nucl. 000087633 773__ $$g100, 10 (2019), 104031 1-10$$pPhys. rev. D$$tPhysical Review D$$x2470-0010 000087633 8564_ $$s217367$$uhttps://zaguan.unizar.es/record/87633/files/texto_completo.pdf$$yVersión publicada 000087633 8564_ $$s113606$$uhttps://zaguan.unizar.es/record/87633/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000087633 909CO $$ooai:zaguan.unizar.es:87633$$particulos$$pdriver 000087633 951__ $$a2022-08-17-09:33:28 000087633 980__ $$aARTICLE