Yukawa couplings from magnetized D-brane models on non-factorisable tori

Abstract

We compute Yukawa couplings in type IIB string theory compactified on a non factorisable six-torus in the presence of D9 branes and fluxes. The setting studied in detail, is obtained by T-dualising an intersecting brane configuration of type IIA theory compactified on a torus generated by the SO(12) root lattice. Particular deformations of such torus are taken into account and provide moduli dependent couplings. Agreement with the type IIA result is found in a non trivial way. The classical type IIB calculation gives also information on a factor accessible only by quantum computations on the type IIA side. arXiv:1802.05136v2 [hep-th]

The classical solution for the Bosonic string in the presence of three D-branes rotated by arbitrary SO(4) elements

“…The computation of the correlation functions of Abelian twist fields is the subject of a vast and solid literature and play a prominent role in many scenarios, such as magnetic branes with commuting magnetic fluxes [8][9][10][11][12], strings propagating in a gravitational wave background [13][14][15][16], D-brane bound states [17][18][19] and tachyon condensation in Superstring Field Theory [19][20][21][22]. A similar investigation can be extended to the properties of excited twist fields even though they are slightly more subtle to treat and hide many more delicate aspects [23][24][25][26][27][28].…”