68 citations · 389 across the 38 of their papers we have counts for
12 papers · 1 filter
Chern-Simons Improved Hamiltonians for Strings in Three Space Dimensions
Ivan Gordeli, Dmitry Melnikov, Antti Niemi +1
The Frenet equation governs the extrinsic geometry of a string in three-dimensional ambient space in terms of the curvature and torsion, which are both scalar functions under strin…
A matrix model for strings beyond the c=1 barrier: the spin-s Heisenberg model on random surfaces
J. Ambjorn, Sh. Khachatryan, A. Sedrakyan
We consider a spin-s Heisenberg model coupled to two-dimensional quantum gravity. We quantize the model using the Feynman path integral, summing over all possible two-dimensional g…
Effective QCD string beyond Nambu-Goto
J. Ambjorn, Y. Makeenko, A. Sedrakyan
We consider the QCD string as an effective string, whose action describes long-range stringy fluctuations. The leading infrared contribution to the ground state energy is given by…
The XXZ Heisenberg model on random surfaces
J. Ambjorn, A. Sedrakyan
We consider integrable models, or in general any model defined by an -matrix, on random surfaces, which are discretized using random Manhattan lattices. The set of random Manhat…
Thermodynamic Bethe Ansatz for the Spin-1/2 Staggered XXZ- Model
V. V. Mkhitaryan, A. G. Sedrakyan
We develop the technique of Thermodynamic Bethe Ansatz to investigate the ground state and the spectrum in the thermodynamic limit of the staggered models proposed recently a…
Integrable XYZ Model with Staggered Anisotropy Parameter
D. Arnaudon, D. Karakhanyan, M. Mirumyan +2
We apply to the XYZ model the technique of construction of integrable models with staggered parameters, presented recently for the XXZ case. The solution of modified Yang-Baxter eq…
Generalization of the U_q(gl(N)) algebra and staggered models
D. Arnaudon, A. Sedrakyan, T. Sedrakyan +1
We develop a technique of construction of integrable models with a Z_2 grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of…
Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter
J. Ambjorn, D. Arnaudon, A. Sedrakyan +2
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented and an integrable model of t-J type with stag…
Integrable Chain Model with Additional Staggered Model Parameter
D. Arnaudon, R. Poghossian, A. Sedrakyan +1
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition alo…
The measure in three dimensional Nambu-Goto string theory
J. Ambjorn, A. Sedrakyan
We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations…
The 3d Ising Model represented as Random Surfaces
J. Ambjorn, A Sedrakyan, G. Thorleifsson
We consider a random surface representation of the three-dimensional Ising model.The model exhibit scaling behaviour and a new critical index $\k$ which relates $\g_{string}$ for t…
R-matrices for highest weight representations of sl_q(2,C) at roots of unity
T. S. Hakobyan, A. G. Sedrakyan
The general formula for R-matrices of slq(2,C) for the highest weight repre- sentations both for general q and for q being a root of unity by generalizing G.Gomez's and G.Sierra's…