Topics:
Introduction to supersymmetry, Mehmat Ozkan
Supersymmetric quantum mechanics, Ilmar Gahramanov
Supergravity, Edvard Musaev
BPS solitons, Dieter Van den Bleeken
Noncommutative Field Theories, Ulas Saka
Students' talks
1+1 QFT with some nontrivial boundary conditions, Lev Astrakhantsev
We consider QFT in 1+1 dimensions with scalar field vanishing on different boundaries such as stagnant wall, wall in infinity motion with constant velocity, firstly stagnant and then instantly set into motion wall and some other examples. In all examples we pay attention on the Hamiltonian and the vacuum average of impulse.
Lattice QCD action in Schwarzschild spacetime, Ramil Dautov
Lattice QCD (LQCD) is a numerical non-perturbative approach to the quantum chromodynamics formulated in terms of functional integrals. Recently, a new area of investigations was opened - LQCD in curved spacetimes. In 2014, Arata Yamamoto [Phys. Rev. D, 90, 054510 (2014)] performed the simulation with the Friedman-Lemaitre-Robertson-Walker metric and analyzed particle production in expanding universe. In 2015 Villegas and Esguerra [Mod. Phys. Let. A, Vol. 30, No. 5 (2015) 1550020] formulated lattice gauge theory for curved spacetimes and shown that for a general curved spacetime background, two propagating gluons are always confined. In this work we derive lattice QCD action on the background of Schwartzschild spacetime. Obtained action can be used to provide corresponding simulations.
Cosmological perturbations in the theory of gravity with nonminimal kinetic coupling, Robert Abzalov
We consider cosmological perturbations in the theory of gravity with nonminimal kinetic coupling. The Lagrangian of the theory represents the particular example of a general Horndeski Lagrangian, which results in second-order eld equations. We derive a complete set of equations for scalar, vector and tensor pertubations. The tensor modes are analyzed in detail. It is shown that their behavior inside the Hubble horizon diers cardinally from the analogous behavior of tensor modes in Friedmann cosmology.
A new solution of the Yang-Baxter equation, Shahriyar Jafarzade
I will talk about a new solution to the Yang-Baxter equation using supersymmetric gauge theory computations. In general finding solution to the Yang-Baxter equation is very interesting and complicated problem in mathematical physics. Our solution describes a two-dimensional Ising-type lattice model and on the other hand corresponds to the supersymmetric index of a certain two-dimensional N=(2,2) supersymmetric gauge theory. The Boltzmann weights of our model can be written in terms of the Jacobi theta functions.