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- A Agarwal, S G Rajeev
- 2008

We present an analysis of the Yangian symmetries of various bosonic sectors of the dilatation operator of N = 4 SYM. The analysis is presented from the point of view of Hamiltonian matrix models. In the various SU (n) sectors, we give a modified presentation of the Yangian generators, which are conserved on states of any size. A careful analysis of the… (More)

The diagnosability problem can be stated as follows: does a given labeled Discrete Event System allow for an outside observer to determine the occurrence of the " invisible " fault, no later than a bounded number of events after that unobservable occurrence, and based on the partial observation of the behaviour? When this problem is investigated in the… (More)

- A Agarwal, N Beisert, T Mcloughlin
- 2009

We investigate the scattering matrix in mass-deformed N ≥ 4 Chern– Simons models including as special cases the BLG and ABJM theories of multiple M2 branes. Curiously the structure of this scattering matrix in three spacetime dimensions is equivalent to (a) the two-dimensional worldsheet matrix found in the context of AdS/CFT integrability and (b) the… (More)

- A Agarwal, S G Rajeev
- 2008

The equations of motion of quantum Yang-Mills theory (in the planar 'large N' limit), when formulated in Loop-space are shown to have an anomalous term, which makes them analogous to the equations of motion of WZW models. The anomaly is the Jacobian of the change of variables from the usual ones i.e. the connection one form A, to the holonomy U. An infinite… (More)

- A Agarwal, S G Rajeev
- 2008

We formulate the planar 'large N limit' of matrix models with a continuously infinite number of matrices directly in terms of U (N) invariant variables. Non-commutative probability theory, is found to be a good language to describe this formulation. The change of variables from matrix elements to invariants induces an extra term in the hamiltonian,which is… (More)

- A Agarwal
- 2008

An analysis of two loop integrability in the su(1|1) sector of N =4SY M is presented from the point of view of Yangian symmetries. The analysis is carried out in the scaling limit of the dilatation operator which is shown to have a manifest su(1|1) invariance. After embedding the scaling limit of the dilatation operator in a general (Inozemtsev like)… (More)

- E Shmelkov, C Krachmarov, A Grigoryan, A Agarwal, A Statnikov, T Cardozo
- Retrovirology
- 2012

- A Agarwal, L Akant
- 2008

It is shown that non-commutative spaces, which are quotients of as-sociative algebras by ideals generated by highly non-linear relations of a particular type, admit extremely simple formulae for deformed or star products. Explicit construction of these star products is carried out. Quantum gauge theories are formulated on these spaces, and the… (More)

- A Agarwal, L Akant
- 2008

We use deformation quantization to construct the large N limits of Bosonic vector models as classical dynamical systems on the Siegel disc and study the relation of this formulation to standard results of collective field theory. Special emphasis is paid to relating the collective potential of the large N theory to a particular cocycle of the symplectic… (More)

- A Agarwal, S G Rajeev
- 2008

We develop a finite temperature mean field theory in the path integral picture for an extremely dilute system of interacting Fermions in a plane. In the limit of short ranged interaction, the system is shown to undergo a phase transition to a superconducting regime. Unlike the well known BCS transition for metals, this phase transition is found to be very… (More)

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