arXiv subjects

D. A. Sahakyan

Publications and source records attributed to D. A. Sahakyan.

4 recordsLinked to original sources

arXiv2001

Comments on the Thermodynamics of Little String Theory

We study the high energy thermodynamics of Little String Theory, using its holographic description. This leads to the entropy-energy relation $S=β_H E+α\log E+O(1/E)$. We compute $α$ and show that it is negative; as a consequence, the high energy thermodynamics is unstable. We exhibit a mode localized near the horizon of the black brane, which has winding number one around Euclidean time and a mass that vanishes at large $E$ (or $β\toβ_H$). We argue that the high temperature phase of the theory involves condensation of this mode.

hep-th↗

arXiv1998

Superconformal Field Theory with Boundary:Spin Model

GSO projected Superconformal field theory (Spin Model) with boundary is considered. There were written the boundary states. For this model were derived one-point structure constants and "bootstrap" equations for boundary-bulk structure constants.

hep-th↗

arXiv1998

Superconformal Field Theory with Boundary: Fermionic Model

Fermionic model of Superconformal field theory with boundary is considered. There were written the ''boundary'' Ward Identity for this theory and also constructed boundary states for fermionic and spin models. For this model were derived ''bootstrap'' equations for boundary structure constants.

hep-th↗

arXiv1997

Double Complexes and Cohomological Hierarchy in a Space of Weakly Invariant Lagrangians of Mechanics

For a given configuration space $M$ and Lie algebra $g$ whose action is defined on $M$, the space $V_{0.0}$ of weakly $g$-invariant Lagrangians (i.e. Lagrangians whose motion equations left hand sides are $g$-invariant) is studied. The problem is reformulated in the terms of the double complex of Lie algebra cochains with values in the complex of Lagrangians. Calculating the cohomology of this complex using the method of spectral sequences, we come to the hierarchy in the space $V_{0.0}$: The double filtration $V_{s.r}$ ($s=0,1,2,3,4;r=0,1$) and the homomorphisms on every space $V_{s.r}$ are constructed. These homomorphisms take values in cohomologies of the Lie algebra $g$ and configuration space $M$. On one hand every space $V_{s.r}$ is the kernel of the corresponding homomorphism, on the other hand this space is defined by its physical properties.

math-ph↗