Ansar Fayyazuddin

Localized intersections of M5-branes and four-dimensional superconformal field theories

We write supersymmetry preserving conditions for infinite M5-branes intersecting on a (3+1)-dimensional space. In contrast to previously known solutions, these intersections are completely localized. We solve the equations for a particular class of configurations which in the near-horizon decoupling limit are dual to Nf = 2Nc Seiberg-Witten superconformal field theories with gauge group SU(N) and generalisations to SU(N)n. We also discuss the relationship to D3-branes in the presence of an Ak singularity.

Script N = 1 M5-brane geometries

We describe how to construct solutions to 11-dimensional supergravity corresponding to M5-branes wrapped on holomorphic 2-cycles embedded in C^3. These solutions preserve N=1 supersymmetry in four dimensions. In the near-horizon limit they are expected to be dual to N=1 large N gauge theories in four dimensions by Maldacenas duality.

Warped AdS near horizon geometry of completely localized intersections of M5-branes

We study a Hanany-Witten set-up relevant to = 2 superconformal field theories. We find the exact near-horizon solution for this 11-dimensional system which involves intersecting M5-branes. The metric describes a warped product of AdS5 with a manifold with SU(2) × U(1) isometry.

SOME COMMENTS ON N=2 SUPERSYMMETRIC YANG-MILLS

We investigate some aspects of the semiclassical BPS saturated states close to the curve ImaD/a=0.

P-brane solutions in IKKT IIB matrix theory

We find p-brane solutions to the recently proposed IKKT IIB matrix theory for all odd p. We also propose central charges for the p-branes.

Finite temperature correlators in the Schwinger model

Abstract We discuss the correlation function of hadronic currents in the Schwinger model at finite temperature T. We explicitly construct the retarded correlator in real time and obtain analytical results for the euclidean correlator on a torus. Both constructions lead to the same finite temperature spectral function. The spatial screening lengths in the mesonic channels are related to the dynamical meson mass m = e/√π and not 2πT even in the infinite temperature limit. The relevance of our results for the finite temperature problem in four dimensions is discussed.

Note on bosonic open strings in a constant B field

We sketch the main steps of old covariant quantization of bosonic open strings in a constant B field background. We comment on its space-time symmetries and the induced effective metric. The low-energy spectrum is evaluated and the appearance of a new noncommutative gauge symmetry is addressed.

On the origin of multi-component anyon wave functions

Abstract In this paper I discuss how the component structure of anyon wave functions arises in theories with non-relativistic matter coupled to a Chern-Simons gauge field on the torus. It is shown that there exists a singular gauge transformation which brings the hamiltonian to a free form. The gauge transformation removes a degree of freedom from the hamiltonian. This degree of freedom generates only a finite-dimensional Hilbert space and is responsible for the component structure of free anyon wave functions. This gives an understanding of the need for multiple component anyon wave functions from the point of view of Chern-Simons theory.

Results in supersymmetric field theory from three-brane probe in F theory

Employing Sens picture of BPS states on a 3-brane probe world volume field theory in a F-theory background. we determine some selection rules for the allowed spectrum in massless

EXACT GROUND STATE WAVE FUNCTIONS FOR N ANYONS IN A MAGNETIC FIELD ON A TORUS

N_{f}\leq 4