We study exact effective superpotentials of four-dimensional N = 2 supersymmetric gauge theories with gauge group U(N) and various amounts of fundamental matter on R3 × S1, broken to N = 1 by turning on a classical superpotential for the adjoint scalar. On general grounds these superpotentials can easily be constructed once we identify a suitable set of coordinates on the moduli space of the ga...

A bstract S -matrix elements are invariant under field redefinitions of the Lagrangian. They determined by geometric quantities such as curvature field-space manifold scalar and gauge fields. We present a formalism where fields treated together, with metric on combined space both types Scalar scattering amplitudes given Riemann R ijkl this space, indices i , j k l chosen to be or depending type...

Gravitational waves propagating through a stationary gauge field transform into gauge field waves and back again. When multiple families of flavor-space locked gauge fields are present, the gravitational and gauge field waves exhibit novel dynamics. At high frequencies, the system behaves like coupled oscillators in which the gravitational wave is the central pacemaker. Due to energy conservati...

Existence and uniqueness of the solution are proved for the ‘master equation’ derived from the BPS equation for the vector multiplet scalar in the U(1) gauge theory with NF charged matter hypermultiplets with eight supercharges. This proof finally establishes the fact that the moduli space of the BPS domain wall solution is CPNF−1 for the gauge theory at finite gauge couplings. Therefore the mo...

In the earlier works on quantum geometrodynamics in extended phase space it has been argued that a wave function of the Universe should satisfy a Schrödinger equation. Its form, as well as a measure in Schrödinger scalar product, depends on a gauge condition (a chosen reference frame). It is known that the geometry of an appropriate Hilbert space is determined by introducing the scalar product,...

In quantum physics, the state space of a countable chain of (n+1) -level atoms becomes, in the continuous field limit, a Fock space with multiplicity n. In a more functional analytic language, the continuous tensor product space over IR of copies of the space C is the symmetric Fock space Γs(L 2(IR;C)). In this article we focus on the probabilistic interpretations of these facts. We show that t...

We report our light hadron mass calculation based on an increased statistics of 250 quenched gauge configurations on a 48 × 64 lattice at β = 6.5. Quark propagators are calculated for each of these configurations with staggered wall source and point sink at quark mass values of mq = 0.01, 0.005, 0.0025 and 0.00125. We also did additional calculations to improve our understanding of systematic b...

In the large-N limit of d = 4, N = 4 gauge theory, the dual AdS space becomes flat. We identify a gauge theory correlator whose largeN limit is the flat space S-matrix.

The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study the quantum aspects and various generalizations of this model in Euclidean space. In particular the quantization of the pure gauge model in a common class of c...

At Bradlow’s limit, the moduli space of Bogomol’nyi vortices on a compact Riemann surface of genus g is determined. The Kähler form, and the volume of the moduli space is then computed. These results are compared with the corresponding results previously obtained for a general vortex moduli space. 1. The Abelian Higgs model in (2+1) dimensions is an interesting arena to study vortices. The coup...