Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Hakobyan, Tigran"'
Autor:
Hakobyan, Tigran, Varosyan, Raffi
The parafermionic representation of cluster chain with $\mathbb{Z}_p\times \mathbb{Z}_p$ symmetry protected topological order is constructed and studied for open and periodic boundary conditions. The resulting Hamiltonian is bilinear in particle oper
Externí odkaz:
http://arxiv.org/abs/2408.10705
Autor:
Topchyan, Hrant, Iugov, Vasilii, Mirumyan, Mkhitar, Hakobyan, Tigran S., Sedrakyan, Tigran A., Sedrakyan, Ara G.
We systematically construct two-dimensional $\mathbb{Z}_3$ symmetry-protected topological (SPT) three-state Potts paramagnets with gapless edge modes on a triangular lattice. First, we study microscopic lattice models for the gapless edge and, using
Externí odkaz:
http://arxiv.org/abs/2312.15095
Autor:
Hakobyan, Tigran
We study the properties of the symplectic sp(2N) algebra deformed by means of the Dunkl operators, which describe the dynamical symmetry of the generalized N-particle Calogero model. It contains a symmetry subalgebra formed by the deformed unitary ge
Externí odkaz:
http://arxiv.org/abs/2306.17677
Autor:
Topchyan, Hrant, Iugov, Vasilii, Mirumyan, Mkhitar, Khachatryan, Shahane A., Hakobyan, Tigran S., Sedrakyan, Tigran A.
Publikováno v:
JHEP 12 (2023) 199
We identify two-dimensional three-state Potts paramagnets with gapless edge modes on a triangular lattice protected by $(\times Z_3)^3\equiv Z_3\times Z_3\times Z_3$ symmetry and smaller $Z_3$ symmetry. We derive microscopic models for the gapless ed
Externí odkaz:
http://arxiv.org/abs/2210.01187
Autor:
Hakobyan, Tigran
Publikováno v:
Phys. Rev. B 102, 085128 (2020)
A quite general finite-size chain of fermions with $N$ internal degrees of freedom (flavors) and $O(N)$ symmetry is considered. In the case of the free boundary condition, we prove that the ground state in the invariant sector having exactly $m$ flav
Externí odkaz:
http://arxiv.org/abs/2003.02889
Autor:
Feigin, Misha, Hakobyan, Tigran
We consider Dunkl version of Laplace-Runge-Lenz vector associated with a finite Coxeter group $W$ acting geometrically in $\mathbb R^N$ with multiplicity function $g$. This vector generalizes the usual Laplace-Runge-Lenz vector and its components com
Externí odkaz:
http://arxiv.org/abs/1907.06706
Autor:
Hakobyan, Tigran
Publikováno v:
Phys. Rev. D 99, 105011 (2019)
The symmetry of the generalized Polychronakos-Frahm chain is obtained from the Dunkl-operator deformation of the unitary algebra, which describes the symmetry of the generalized Calogero model.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1903.10030
Autor:
Hakobyan, Tigran, Vostokov, Sergei
For given rational prime number $p$ consider the tower of finite extensions of fields $K_0/\mathbb{Q}_p,$ $K/K_0, L/K, M/L$, where $K/K_0$ is unramified and $M/L$ is a Galois extension with Galois group $G$. Suppose one dimensional Honda formal group
Externí odkaz:
http://arxiv.org/abs/1810.01695
Autor:
Hakobyan, Tigran
This paper is a sequel to [1] and considers definability in differential-henselian monotone fields with c-map and angular component map. We prove an Equivalence Theorem among whose consequences are a relative quantifier reduction and an NIP result.
Externí odkaz:
http://arxiv.org/abs/1804.04254
Autor:
Hakobyan, Tigran, Tran, Minh Chieu
We study the model theory of the $2$-sorted structure $(\mathbb{F}, \mathbb{C};\chi)$, where $\mathbb{F}$ is an algebraic closure of a finite field of characteristic $p$, $\mathbb{C}$ is the field of complex numbers and $\chi: \mathbb{F} \to \mathbb{
Externí odkaz:
http://arxiv.org/abs/1705.00261