Meta-stable Brane Configurations Research Articles

Gravitational correction to fuzzy string in metastable brane configuration

We study dynamics of a cosmic string in a metastable brane configuration in Type IIA string theory. We first discuss a decay process of the cosmic string via a fuzzy brane (equivalently bubble/string bound state) by neglecting gravitational corrections in ten-dimension. We find that depending on the strength of the magnetic field induced on the bubble, the decay rate can be either larger or smaller than that of O(4) symmetric bubble. Then, we investigate gravitational corrections to the fuzzy brane by using the extremal black N S-five brane solution, which makes the lifetime of the metastable state longer.

META-STABLE BRANE CONFIGURATIONS BY DUALIZING THE TWO GAUGE GROUPS

We consider the [Formula: see text] supersymmetric gauge theories with product gauge groups. The two kinds of D6-branes in the electric theory are both displaced and rotated respectively where these deformations are interpreted as the mass terms and quartic terms for the two kinds of flavors. Then we apply the Seiberg dual to the whole gauge group factors by moving the branes and obtain the corresponding dual gauge theories. By analyzing the magnetic superpotentials consisting of an interaction term between a magnetic meson field and dual matters as well as the above deformations for each gauge group, we present the type IIA nonsupersymmetric meta-stable brane configurations.

MORE ON META-STABLE BRANE CONFIGURATIONS BY DUALIZING THE MULTIPLE GAUGE GROUPS

We reexamine the [Formula: see text] supersymmetric gauge theories with product gauge groups by adding the mass terms and the quartic terms for the flavors: two-gauge group theory with fundamentals, bifundamentals and adjoints, three-gauge group theory with fundamentals and bifundamentals, and their orientifold 4-plane generalizations. By moving the branes appropriately, we obtain the corresponding dual gauge theories. By analyzing the dual superpotentials, we present the type IIA nonsupersymmetric meta-stable brane configurations.

META-STABLE BRANE CONFIGURATIONS BY QUARTIC SUPERPOTENTIAL FOR BIFUNDAMENTALS

The type IIA nonsupersymmetric meta-stable brane configuration consisting of three NS5-branes, D4-branes and anti-D4-branes where the electric gauge theory superpotential has a quartic term for the bifundamentals besides a mass term is constructed. By adding the orientifold 4-plane and 6-plane to this brane configuration, we also describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theories.

META-STABLE BRANE CONFIGURATIONS BY HIGHER-ORDER POLYNOMIAL SUPERPOTENTIAL

We construct the type IIA nonsupersymmetric meta-stable brane configuration consisting of (2k+1) NS5-branes and D4-branes where the electric gauge theory superpotential has an order (2k+2) polynomial for the bifundamentals. We find a rich pattern of nonsupersymmetric meta-stable states as well as the supersymmetric stable ones. By adding the orientifold 4-plane to this brane configuration, we also describe the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theory.

META-STABLE BRANE CONFIGURATIONS, MULTIPLE NS5-BRANES, AND ROTATED D6-BRANES

We construct the type IIA nonsupersymmetric meta-stable brane configurations corresponding to the various [Formula: see text] supersymmetric gauge theories. The D6-branes are both displaced and rotated where these deformations are described as the mass term and quartic term for the fundamental flavors, respectively. The multiplicity of the NS5-branes occurs in the superpotential order for adjoint, symmetric, or bifundamental matters. A rich pattern of nonsupersymmetric meta-stable states as well as the supersymmetric stable states is found.

META-STABLE BRANE CONFIGURATIONS OF TRIPLE PRODUCT GAUGE GROUPS

From an [Formula: see text] supersymmetric electric gauge theory with the gauge group [Formula: see text] with fundamentals for each gauge group and the bifundamentals, we apply Seiberg dual to each gauge group and obtain the [Formula: see text] supersymmetric dual magnetic gauge theories with dual matters including the additional gauge singlets. By analyzing the F-term equations of the dual magnetic superpotentials, we describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory. We apply also to the case for [Formula: see text] supersymmetric electric gauge theory with the gauge group [Formula: see text] with flavors for each gauge group and the bifundamentals. Finally, we describe the meta-stable brane configurations of multiple product gauge groups.

Other meta-stable brane configuration by adding an orientifold 6-plane to Giveon–Kutasov

Giveon and Kutasov have found the type IIA intersecting nonsupersymmetric meta-stable brane configuration where the electric gauge theory superpotential has a quartic term as well as the mass term for quarks. In this Letter, by adding the orientifold 6-plane to this brane configuration, we describe the brane configuration corresponding to the meta-stable nonsupersymmetric vacua of the supersymmetric unitary gauge theory with symmetric flavor as well as fundamental flavors.

Meta-stable brane configurations with seven NS5-branes

We present the intersecting brane configurations consisting of NS-branes, D4-branes (and anti D4-branes) and an O6-plane, of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua in four-dimensional supersymmetric SU(Nc) × SU(N′c) × SU(N″c) gauge theory with a symmetric tensor field, a conjugate symmetric tensor field and bifundamental fields. We also describe the intersecting brane configurations of type IIA string theory corresponding to the nonsupersymmetric meta-stable vacua in the above gauge theory with an antisymmetric tensor field, a conjugate symmetric tensor field, eight fundamental flavors and bifundamentals. These brane configurations consist of NS-branes, D4-branes (and anti D4-branes), D6-branes and O6-planes.

More on meta-stable brane configuration by quartic superpotential for fundamentals

For the case where the gauge theory superpotential has a quartic term as well as the mass term for quarks, the nonsupersymmetric meta-stable brane configuration was found recently. By adding the orientifold 6-planes and the extra fundamental flavors to this brane configuration, we describe the meta-stable nonsupersymmetric vacua of the gauge theory with antisymmetric flavor as well as fundamental flavors in type IIA string theory.

Meta-stable brane configuration of product gauge groups

Starting from the gauge theory with fundamental and bifundamental flavors, we apply the Seiberg dual to the first gauge group and obtain the dual gauge theory with dual matters including the gauge singlets. By analyzing the F-term equations of the superpotential, we describe the intersecting type IIA brane configuration for the meta-stable nonsupersymmetric vacua of this gauge theory. By introducing an orientifold 6-plane, we generalize to the case for gauge theory with fundamental and bifundamental flavors. Finally, the gauge theory with matters is also described very briefly.

More meta-stable brane configurations without D6-branes

We describe the intersecting brane configurations, consisting of NS-branes, D4-branes (and anti-D4-branes), in type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of N = 1 SU ( N c ) × SU ( N c ′ ) × SU ( N c ″ ) gauge theory with bifundamentals. By adding the orientifold 4-plane to these brane configurations, we also discuss the meta-stable brane configurations for other gauge theory with bifundamentals. Furthermore, we study the intersecting brane configurations corresponding to the nonsupersymmetric meta-stable vacua of other gauge theory with bifundamentals, by adding the orientifold 6-plane.

Meta-stable brane configurations by adding an orientifold-plane to Giveon-Kutasov

In hep-th/0703135, they have found the type IIA intersecting brane configuration where there exist three NS5-branes, D4-branes and anti-D4-branes. By analyzing the gravitational interaction for the D4-branes in the background of the NS5-branes, the phase structures in different regions of the parameter space were studied in the context of classical string theory. In this paper, by adding the orientifold 4-plane and 6-plane to the above brane configuration, we describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of these gauge theories.

Meta-stable brane configuration with orientifold 6 plane

We present the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua in four dimensional N=1 supersymmetric SU(N_c) gauge theory with a symmetric flavor, a conjugate symmetric flavor and fundamental flavors. By studying the previously known supersymmetric M5-brane curve, the M-theory lift for this type IIA brane configuration, which consists of NS5-branes, D4-branes, D6-branes and an orientifold 6-plane, is analyzed.

M-theory lift of meta-stable brane configuration in symplectic and orthogonal gauge groups

Abstract The M-theory lift for the supersymmetry breaking IIA brane configuration corresponding to the meta-stable state of N = 1 unitary supersymmetric Yang–Mills theory with massive flavors was found by Bena et al. [I. Bena, E. Gorbatov, S. Hellerman, N. Seiberg, D. Shih, hep-th/0608157 ] recently. We extend this to symplectic and orthogonal gauge groups by analyzing the previously known results on M-theory lifts of supersymmetric IIA brane configurations.