20.500.12556/DKUM-66463 On finiteness of type IIB compactifications magnetized branes on elliptic Calabi-Yau threefolds The string landscape satisfies interesting finiteness properties imposed by supersymmetry and string-theoretical consistency conditions. We study N = 1 supersymmetric compactifications of Type IIB string theory on smooth elliptically fibered Calabi-Yau threefolds at large volume with magnetized D9-branes and D5-branes. We prove that supersymmetry and tadpole cancellation conditions imply that there is a finite number of such configurations. In particular, we derive an explicitly computable bound on the number of magnetic flux quanta, as well as the number of D5-branes, which is independent of the continuous moduli of the setup. The proof applies if a number of easy to check geometric conditions of the twofold base are met. We show that these geometric conditions are satisfied for the almost Fano twofold bases given by each toric variety associated to a reflexive two-dimensional polytope as well as by the generic del Pezzo surfaces dP(n) with n = 0, ..., 8. Physically, this finiteness proof shows that there exist a finite collection of four-dimensional gauge groups and chiral matter spectra in the 4D supergravity theories realized by these compactifications. As a by-product we explicitly construct all generators of the Kaahler cones of dP(n) and work out their relation to representation theory. black holes supergravity string theory conformal field models string duality črne luknje supergravitacija teorija superstrun modeli konformnega polja dualnost superstrun true false true Angleški jezik Slovenski jezik Znanstveno delo 2017-06-27 12:27:21 2017-06-27 12:28:29 2022-07-11 03:07:07 2019-07-11 15:48:23 2014 0 0 str. 1-48 št. 6 Letn. 2014 June 2014 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1029-8479 530.122.3 1314148 81516033 10.1007/JHEP06(2014)138 1029-8479 URN:SI:UM:DK:OLGT1QFL Journal_of_High_Energy_Physics_2014_Cvetic_et_al._On_finiteness_of_type_IIB_compactifications_magnetized_branes_on_elliptic_Calabi-Yau_t.pdf Journal_of_High_Energy_Physics_2014_Cvetic_et_al._On_finiteness_of_type_IIB_compactifications_magnetized_branes_on_elliptic_Calabi-Yau_t.pdf 1 A44A4B00B36A047C331A63B9767D458B 7542ce8d33aefb8b85f766e594b44c18ce7819f11a2ab90f16ee4ec9c7d08a48 4e7ebe05-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=113194 http://link.springer.com/10.1007/JHEP06(2014)138 1 https://dk.um.si/Dokument.php?lang=slv&id=113193 Univerza v Mariboru 0 0 0