The γ-trace anomaly of supersymmetry current in a supersymmetric gauge theory shares a superconformal anomaly multiplet with the chiral R-symmetry anomaly and the Weyl anomaly, and its holographic reproduction is a valuable test to the AdS/CFT correspondence conjecture. We investigate how the γ-trace anomaly of the supersymmetry current of N = 1 four-dimensional su-persymmetric gauge theory in ...

We construct Witten-type string field theory vertices for a fermionic first order system with conformal weights (0, 1) in the operator formulation using delta-function overlap conditions as well as the Neumann function method. The identity, the reflector and the interaction vertex are treated in detail paying attention to the zero mode conditions and the U(1) charge anomaly. The Neumann coeffic...

A general formula for global gauge and gravitational anomalies is derived. It is used to show that the anomaly free supergravity and superstring theories in ten dimensions are all free of global anomalies that might have ruined their consistency. However, it is shown that global anomalies lead to some restrictions on allowed compactifϊcations of these theories. For example, in the case of O(32)...

one of the most important goals in geomagnetic investigations is detecting local anomaly locations. regional anomaly can be simulating as a trend surface, and local anomalies will be detected by comparison of measured data and simulated trend surface. the problem is trying to find best coefficients of trend surface model using inverse methods based on modern optimization techniques, which are f...

We give an introduction to the recently established connection between supersymmetric gauge theories and matrix models. We begin by reviewing previous material that is required in order to follow the latest developments. This includes the superfield formulation of gauge theories, holomorphy, the chiral ring, the Konishi anomaly and the large N limit. We then present both the diagrammatic proof ...

We derive maps relating currents and their divergences in non-Abelian U(N) noncom-mutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in the noncommutative theory with the standard Adler–Bell–Jackiw anomaly in the co...

We review our calculation of theWeyl anomaly for d-dimensional conformal field theories that have a description in terms of a (d+ 1)-dimensional gravity theory.

Investigation of the anomaly puzzle in N = 1 supersymmetric electrodynamics. Abstract Using Schwinger-Dyson equations and Ward identities in N = 1 supersym-metric electrodynamics, regularized by higher derivatives, we find, that it is possible to calculate some contributions to the two-point Green function of the gauge field and to the β-function exactly to all orders of the perturbation theory...

In this paper we consider gauge invariant nonminimal couplings of the torsion field to the Standard model fermions and U(1) gauge bosons. We then determine the constraints on the unknown parameters of the torsion action from its contribution to the muon anomaly. The bounds on the torsion mass obtained from muon anomaly are finally compared with those obtained high energy collider experiments. E...

We derive maps relating currents and their divergences in non-abelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field approximation, these maps are also seen to connect the star-gauge-covariant anomaly in the noncommutative theory with the standard Adler–Bell–Jackiw anomaly in the com...