We consider the bosonic sector of a N = 2 supersymmetric Chern-Simons-Higgs theory in 2 + 1 dimensions. The gauge group is U(1) × SU(N) and has Nf flavors of fundamental matter fields. The model supports non-Abelian (axially symmetric) vortices when Nf ≥ N , which have internal (orientational) moduli. When Nf > N , the solutions acquire additional collective coordinates parameterizing their tra...

We study BPS non-abelian semilocal vortices in U(NC) gauge theory with NF flavors, NF > NC, in the Higgs phase. The moduli space for arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces of the semilocal vortices in a Seiberg-like dual pairs of theories, U(NC) and U(NF −NC). They are two alternative regularizations of a “parent” no...

Typically the moduli fields acquire mass mφ = ±C H in the early universe, which shifts the position of the minimum of their effective potential and leads to an excessively large energy density of the oscillating moduli fields at the later stages of the evolution of the universe. This constitutes the cosmological moduli problem, or Polonyi field problem. We show that the cosmological moduli prob...

D*kiauaki = Dijkiauaki + /°,% (4) which is Eq. (4.4) of [1], where / is the volume fraction of voids. The average transformation strain, e*, in (4) must, however, be obtained for the case when the stresses (and not the strains) are regarded to be prescribed. Therefore, in the integral equation (2.13) of [1], ek/ must be replaced by ek/ defined by (2) above, if Eq. (4) is used to calculate D*. F...

The moduli of N = 1 compactifications of IIB string theory can be stabilized by a combination of fluxes (which freeze complex structure moduli and the dilaton) and nonperturbative superpotentials (which freeze Kähler moduli), typically leading to supersymmetric AdS vacua. We show that stringy corrections to the Kähler potential qualitatively alter the structure of the effective scalar potential...

We show that the dilaton and T -moduli can be stabilized by a single gaugino condensation mechanism in the four-dimensional effective field theory derived from Type IIB orientifolds. A crucial role is played by the mixing of the blowing-up modes Mk with the T -moduli in the Kähler metric, and by the presence of the Mk in the gauge kinetic functions. Supersymmetry breaking in these models is dom...

The values of the T and U moduli are studied for those Z N Coxeter orbifolds with the property that some of the twisted sectors have fixed planes for which the six-torus T 6 can not be decomposed into a direct sum T 2 T 4 with the fixed plane lying in T 2. Such moduli in general transform under a subgroup of the modular group SL(2, Z). The moduli are determined by minimizing the effective poten...

In this final project, we will report our understanding of Seiberg Witten theory [1][2]. The low energy effective theory of N = 2 supersymmetric Yang-mill theory has a non-trivial quantum moduli space. And the structure of the moduli space can be exactly determined by the property near the singularities of the moduli space. This theory also provide a example for electric-magnetic duality. In th...

We consider the small-volume dynamics of nonsupersymmetric orbifold and orientifold field theories defined on a three-torus, in a test of the claimed planar equivalence between these models and appropriate supersymmetric " parent models ". We study one-loop effective potentials over the moduli space of flat connections and find that planar equivalence is preserved for suitable averages over the...