On the vacuum structure of type II string compactifications on Calabi–Yau spaces with H-fluxes

Abstract

We discuss the vacuum structure of type IIA/B Calabi-Yau string compactifications to four dimensions in the presence of n-form H-fluxes. These will lift the vacuum degeneracy in the Calabi-Yau moduli space, and for generic points in the moduli space, N = 2 supersymmetry will be broken. However, for certain 'aligned' choices of the H-flux vector, supersymmetric ground states are possible at the degeneration points of the Calabi-Yau geometry. We will investigate in detail the H-flux induced superpotential and the corresponding scalar potential at several degeneration points, such as the Calabi-Yau large volume limit, the conifold loci, the Seiberg-Witten points, the strong coupling point and the conformal points. Some emphasis is given to the question whether partial supersymmetry breaking can be realized at those points. We also relate the H-flux induced superpotential to the formalism of gauged N = 2 supergravity. Finally we point out the analogies between the Calabi-Yau vacuum structure due to H-fluxes and the attractor formalism of N = 2 black holes.

Chiral D-brane Models with Frozen Open String Moduli

“…Now, one may split the bulk brane into four rigid constituents {b 1 , b 2 , b 3 , b 4 } in the regular representation of Z 2 × Z 2 as, e.g., the D-brane set b in table 5. This leads to a gauge group U(N) 4 without massless adjoints.…”

Type II theories compactified on Calabi–Yau threefolds in the presence of background fluxes

“…Various aspects of such compactifications have been studied previously in refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”

“…This case has been considered previously in refs. [7][8][9][10]13] and therefore we keep our presentation short. However, we do establish the fact that also in this case B 2 becomes massive for non-vanishing magnetic charges.…”

Flux-induced soft supersymmetry breaking in chiral type IIB orientifolds with D3/D7-branes

“…For intersecting D6-branes, a computation of soft terms has been undertaken in [22]. Specifically, we need the following two ingredients to compute the effective soft terms: First one has to determine the supersymmetry breaking F -terms, which originate from an effective bulk superpotential [23,24,25,26] due to the non-vanishing 3-form fluxes, as well as the effective action for the (closed string) moduli fields in Calabi-Yau orientifolds [27]. Second the knowledge of the D = 4 moduli dependent effective action of the open string gauge and matter fields on the D3/D7 world volumes is required.…”