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Highly Cited

2017

Highly Cited

2017

A bstractWe study the holographic complexity of noncommutative field theories. The four-dimensional N=4$$ \mathcal{N}=4… Expand

Highly Cited

2008

Highly Cited

2008

We outline basic principles of canonical formalism for the Nambu mechanics—a generalization of Hamiltonian mechanics proposed by… Expand

2007

2007

We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R 2n � × G/H which are… Expand

Highly Cited

2005

Highly Cited

2005

Nambu proposed a generalization of Hamiltonian dynamics in the form dF/dt = {F, H, Z}, which conserves H and Z because the Nambu… Expand

Highly Cited

2003

Highly Cited

2003

Abstract We show that after the Seiberg–Witten map is performed the action for noncommutative field theories can be regarded as a… Expand

Highly Cited

2001

Highly Cited

2001

We derive the Kadomtsev-Petviashvili (KP) equation defined over a general associative algebra and construct its N-soliton… Expand

Highly Cited

2001

Highly Cited

2001

We analize the relational quantum evolution of generally covariant systems in terms of Rovelli's evolving constants of motion and… Expand

Highly Cited

1997

Highly Cited

1997

Let M be an oriented 3-manifold. For any commutative ring R with a speci"ed invertible element A one can assign an R-moduleS 2… Expand

Highly Cited

1995

Highly Cited

1995

IN [41], Witten has made the remarkable discovery of an intricate relationship between the Jones polynomial [15, 163 and gauge… Expand

Highly Cited

1992

Highly Cited

1992

We define the notion of a closed star product. A (generalized) star product (deformation of the associative product of functions… Expand