Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Mkrtchyan, Ruben"'
We obtain a uniform decomposition into Casimir eigenspaces (most of which are irreducible) of the fourth power of the adjoint representation $\mathfrak{g}^{\otimes 4}$ for all simple Lie algebras. We present universal, in Vogel's sense, formulae for
Externí odkaz:
http://arxiv.org/abs/2311.05358
Autor:
Krefl, Daniel, Mkrtchyan, Ruben L.
We invoke universal Chern-Simons theory to analytically calculate the exact free energy of the refined topological string on the resolved conifold. In the unrefined limit we reproduce non-perturbative corrections for the resolved conifold found elsew
Externí odkaz:
http://arxiv.org/abs/1506.03907
We present a new version of the radial reduction formalism to obtain a cubic interaction of higher spin gauge fields in $AdS_{d+1}$ space from the corresponding cubic interaction in a flat $d+2$ dimensional background. We modify the radial reduction
Externí odkaz:
http://arxiv.org/abs/1210.7227
We show that the perturbative part of the partition function in the Chern-Simons theory on a 3-sphere as well as the central charge and expectation value of the unknotted Wilson loop in the adjoint representation can be expressed in terms of the univ
Externí odkaz:
http://arxiv.org/abs/1203.0766
We give one more interpretation of the symbolic formulae $U(-N)=U(N)$ and $Sp(-2N)=SO(2N)$ by comparing the values of certain Casimir operators in the corresponding tensor representations. We show also that such relations can be extended to the class
Externí odkaz:
http://arxiv.org/abs/1011.0151
Publikováno v:
Mod.Phys.Lett.A26:1393-1405,2011
We present the explicit formulae relating Hopf maps with Wigner's little groups. They, particularly, explain simple action of group on a fiber for the first and second Hopf fibrations, and present most simplified form for the third one. Corresponding
Externí odkaz:
http://arxiv.org/abs/1008.2589
Publikováno v:
Phys.Lett.B657:112-119,2007
The hierarchy of conformally invariant k-th powers of the Laplacian acting on a scalar field with scaling dimensions $\Delta_{(k)}=k-d/2$, k=1,2,3 as obtained in the recent work [1] is rederived using the Fefferman-Graham d+2 dimensional ambient spac
Externí odkaz:
http://arxiv.org/abs/0707.1737
Autor:
Mkrtchyan, Ruben
Publikováno v:
Phys.Lett. B558 (2003) 205-212
The problem of decomposition of unitary irreps of (super) tensorial (i.e. extended with tensorial charges) Poincar{\'e} algebra w.r.t. its different subalgebras is considered. This requires calculation of little groups for different configurations of
Externí odkaz:
http://arxiv.org/abs/hep-th/0212174
Autor:
Mkrtchyan, Ruben
The construction of field theories with space-time symmetries, including tensorial charges (i.e. of M-theory type), initiated in hep-th/9907011, is extended to include interaction. For SO(2,2) gravity in a tensorial space-time, with space-time symmet
Externí odkaz:
http://arxiv.org/abs/hep-th/0209175
Autor:
Mkrtchyan, Ruben1 mrl55@list.ru
Publikováno v:
Letters in Mathematical Physics. Jan2016, Vol. 106 Issue 1, p57-79. 23p.
