Abstract In this paper, we describe the explicit structures of nonabelian tensor squares groups order $$p^3q$$ p 3 q , where p and q are distinct prime numbers $$p>2$$ > 2 . Our method is ba...

We initiate a programme to compute curvature corrections to the nonabelian Born–Infeld action. This is based on the calculation of derivative corrections to the abelian Born–Infeld action, describing a maximal brane, to all orders in F = B + 2πα′F . An exact calculation in F allows us to apply the Seiberg–Witten map, reducing the maximal abelian brane point of view to a minimal nonabelian brane...

In this article we review some of the recent advances regarding the charged vortex solutions in abelian and nonabelian gauge theories with Chern-Simons (CS) term in two space dimensions. Since these nontrivial results are essentially because of the CS term, hence, we first discuss in some detail the various properties of the CS term in two space dimensions. In particular, it is pointed out that...

It is known that if $$d^2$$ vectors in a d-dimensional Hilbert space H form symmetric, informationally complete, positive operator-valued measure (SIC-POVM), then the tensor squares of these an equiangular tight frame symmetric subspace $$H\otimes H$$ . We prove that, for any SIC-POVM Weyl–Heisenberg group covariant type (WH-type), this can be obtained by projecting WH-type basis onto subspace....

Vasil'ev posed Problem 16.26 in [The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed.,Sobolev Inst. Math., Novosibirsk (2006).] as follows:Does there exist a positive integer $k$ such that there are no $k$ pairwise nonisomorphicnonabelian finite simple groups with the same graphs of primes? Conjecture: $k = 5$.In [Zvezdina, On nonabelian simple groups having the same prime graph a...

I consider theories of Dirac fermions with different regularizations, leading to different chiral anomalies. I have investigated the Poincaré invariance properties of these theories. I find that both Lorentz and translational invariance are anomalously violated in general, but that they are respected in a theory that is regularized to give a Wess-Zumino consistent anomaly (the Bardeen anomaly)....

Using the corner-transfer matrix renormalization group to contract tensor network that describes its partition function, we investigate nature of phase transitions hard-square model, one exactly solved models statistical physics for which Baxter has found an integrable manifold. The motivation is twofold: assess power networks such models, and probe 2D classical analog a 1D quantum model hard-c...

The non-abelian tensor product of groups which has its origins in algebraic K-theory as well as inhomotopy theory, was introduced by Brown and Loday in 1987. Group theoretical aspects of non-abelian tensor products have been studied extensively. In particular, some studies focused on the relationship between the exponent of a group and exponent of its tensor square. On the other hand, com...