Triangle Seminars

Abstract:
In this talk I will consider brane configurations that include NS5 branes, orientifold planes and anti-branes. I will argue that the class of field theories that live on such brane configurations admit Seiberg duality. Interactions between branes and orientifold planes will be given a field theory interpretation. In particular a certain repulsive interaction will lead to a non-trivial Coleman-Weinberg potential and dynamical symmetry breaking.
I will also discuss the case of type 0' strings and chiral symmetry breaking of the form SU(Nf)xSU(Nf)–>SU(Nf) in a QCD-like theory.

Abstract:
**** POLYGON SEMINAR****

Permutation groups and related algebras have proved to be powerful tools for understanding the counting and correlators of gauge invariant operators in 1-Matrix and multi-matrix models. Mathematical structures such as Belyi maps underlying the mixing of trace structures have been uncovered and finite N effects have been encoded using Young diagram data. These results have found applications in studies of BPS, near-BPS and non-BPS operators in N=4 SYM and quiver gauge theories. I will review some of this work and describe some open problems.

Abstract:
Dual superconformal symmetry is a remarkable, hidden feature of N=4 SYM in 4 dimensions. Via AdS/CFT, such a symmetry corresponds to the invariance of the AdS(5) x S(5) superstring under specific combinations of bosonic and fermionic T-dualities.

We show that AdS(d) x S(d) x S(d) superstrings with D(2,1;\alpha) isometry supergroup are T-self-dual if additional T-dualities along complexified S(d) directions are performed. This implies that CFTs dual to AdS(d) x S(d) x S(d) x T(10-3d) superstrings enjoy a new type of dual superconformal symmetry.

Abstract:
We start by providing complete insights about the standard ways of finding couplings in effective field theory , and present most of the supersymmetric and non-supersymmetric scattering amplitudes of both type IIA,IIB superstring theory as well as their corrections.
We would also like to address the way of obtaining a universal conjecture for DBI, Chern-Simons and new Wess Zumino actions with their corrections. We then move on to provide a comprehensive explanation even for D- brane-anti D-brane systems, where various new techniques will be also illustrated.
If time allows , we then mention several issues related to those effective actions and eventually highlight some open problems.

Abstract:
Networks are mathematical structures that are universally used to describe a large variety of complex systems such as the brain or the Internet. Characterizing the geometrical properties of these networks has become increasingly relevant for routing problems, inference and data mining. In real growing networks, topological, structural and geometrical properties emerge spontaneously from their dynamical rules. Here we show that a single two parameter model of emergent network geometry, constructed by gluing triangles, can generate complex network geometries with non-trivial distribution of curvatures, combining exponential growth and small-world properties with finite spectral dimensionality. In one limit, the non-equilibrium dynamical rules of these networks can generate scale-free networks with clustering and communities, in another limit 2 dimensional manifolds with non-trivial modularity. When manifolds of arbitrary dimension are constructed, and energies are assigned to their nodes these networks can be mapped to quantum network states and they follows quantum statistics despite they do not obey equilibrium statistical mechanics.