We use non-perturbative U-duality symmetries of type II strings to construct new vacuum solutions. In some ways this generalizes the F-theory vacuum constructions. We find the possibilities of new vacuum constructions are very limited. Among them we construct new theories with N = 2 supersymmetry in 3-dimensions and (1, 1) supersymmetry in 2-dimensions.
Stabilization of closed string moduli in toroidal orientifold compactifications of type IIB string theory are studied using constant internal magnetic fields on D-branes and 3-form fluxes that preserve N = 1 supersymmetry in four dimensions. Our analysis corrects and extends previous work by us, and indicates that charged scalar VEV's need to be turned on, in addition to the fluxes, in order to construct a consistent supersymmetric model. As an explicit example, we first show the stabilization of all Kähler class and complex structure moduli by turning on magnetic fluxes on different sets of D9-branes that wrap the internal space T 6 in a compactified type I string theory, when a charged scalar on one of these branes acquires a non-zero VEV. The latter can also be determined by adding extra magnetized branes, as we demonstrate in a subsequent example. In a different model with magnetized D7-branes, in a IIB orientifold on T 6 /Z 2 , we show the stabilization of all the closed string moduli, including the axion-dilaton at weak string coupling g s , by turning on appropriate closed string 3-form fluxes. * Ignatios.Antoniadis@cern.ch † kumar@iopb.res.in ‡ Tristan.Maillard@cpht.polytechnique.fr arXiv:hep-th
We present several supergravity solutions corresponding to both Dp, as well as Dp − Dp ′ systems, in NS-NS and R-R PP-wave background originating from AdS 3 × S 3 × R 4 . The Dp brane solutions, p = 1, .., 5 are fully localized, whereas Dp − Dp ′ are localized along common transverse directions. We also discuss the supersymmetry properties of these solutions and the worldsheet construction for the p − p ′ system.
We present classical solutions for a D5 and NS5-branes in a pp-wave background. The worldvolume coordinates for these branes lie along a six dimensional pp-wave configuration obtained from AdS 3 × S 3 in a Penrose limit. One in addition has nontrivial R-R 3-form field strength as well as a dilaton background. Classical solutions for Dp-branes (p > 5), as well as their bound states, are then generated in both IIA and IIB string theories by using T -duality symmetries. We also briefly discuss the construction of Dp-branes in ppwave backgrounds, obtained from string theories on AdS m ×S m . Finally, the construction of the above D5-brane solution is presented from the point of view of the Green-Schwarz worldsheet string theory and its low lying spectrum is discussed.String theory in the presence of pp-wave backgrounds [1][2][3][4][5][6][7] has generated lots of excitement among physicists searching for a deep connection between quatum gravity and gauge theory dynamics. Such string backgrounds are technically tractable, and have direct applications to the four dimensional conformal theories from the point of view of a duality between string and gauge theories. The fact that pp-waves provide exact solutions of string theory, including in the presence of R − R fields [4], is now known for long time. It has now been realized [8,9] that in some special cases, they give rise to exactly solvable string theory with a quadratic action. As a result the spectrum of the theory can be explicitly obtained. Moreover, an interesting connection of pp-wave background with gauge field theories emerges by realizing that they can be obtained [10]
The classical action of a two dimensional N = 2 supersymmetric theory, characterized by a general Kähler potential, is written down on a non(anti)commutative superspace. The action has a power series expansion in terms of the determinant of the non(anti)commutativity parameter C αβ . The theory is explicitly shown to preserve half of the N = 2 supersymmetry, to all orders in (det C) n . The results are further generalized to include arbitrary superpotentials as well.
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