We consider line defects with large quantum numbers in conformal field theories. First, we spin impurities, both for a free scalar triplet and the Wilson-Fisher $O(3)$ model. For triplet, find rich phase diagram that includes perturbative fixed point, new nonperturbative runaway regimes. To obtain these results, develop semiclassical approach. model, propose an alternative description, which be...

We study some properties of the Ising model in the plane of the complex (energy/temperature)-dependent variable u = e−4K , where K = J/(kBT ), for nonzero external magnetic field, H. Exact results are given for the phase diagram in the u plane for the model in one dimension and on infinite-length quasi-one-dimensional strips. In the case of real h = H/(kBT ), these results provide new insights ...

We study McKay’s observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E8 diagram, using the theory of vertex operator algebras (VOAs). We first consider the sublattices L of the E8 lattice obtained by removing one node from the extended E8 diagram at each time. We then construct a certain coset (or commutant) subalgebra U associat...

We investigate the thermodynamic and critical properties of an interacting domain wall model which is derived from the triangular lattice antiferromagnetic Ising model with the anisotropic nearest and next nearest neighbor interactions. The model is equivalent to the general five–vertex model. Diagonalizing the transfer matrix exactly by the Bethe Ansatz method, we obtain the phase diagram disp...

ionization radiation caused to incidence of complications in the exposed organs. in prostate radiotherapy, rectum and bladder have been radiated unwantedly and indicated some complications during and after treatment. the purpose of present study is to consider and to compare clinical complications of rectum and bladder in custom block and mlc for 3- d conformal radiotherapy, in order to determi...

We study the phase diagram of (large-${N}_{c}$) QCD using a simplistic holographic hard-wall model with dynamical scalar field and homogeneous Ansatz representing smeared instanton/baryon density. The resulting is qualitatively consistent expectations, including mesonic, baryonic, quarkyonic, quark-gluon plasma phase. As in other models, we also find baryonic popcorn transition, which appears a...

We study the quantum dynamics of Lema\^{\i}tre-Tolman-Bondi space-times using a polymer quantization prescription based on loop cosmology that incorporates fundamental discreteness. By solving an effective equation derived from this quantization, we find analytical solutions for Oppenheimer-Snyder and thin-shell collapse models, numerical variety asymptotically flat collapsing dust profiles. Ou...

Patterns of symmetry breaking induced by potentials at the boundary free $O(N)$ models in $d=3- \epsilon$ dimensions are studied. We show that spontaneous these theories leads to a RG flow ending with $N - 1$ Neumann modes IR. The possibility fluctuation-induced is examined and we derive general formula for computing one-loop effective boundary. Using $\epsilon-$expansion test ideas an $O(N)\op...

A bstract We study a novel class of Renormalization Group flows which connect multicritical versions the two-dimensional Yang-Lee edge singularity described by conformal minimal models $$ \mathcal{M} M (2 , 2 n + 3). The absence in these an order parameter implies that towards and between singularities are al...

We compute the phase diagram of simplest holographic bottom-up model conformal interfaces. The consists a thin domain wall between three-dimensional Anti-de Sitter (AdS) vacua, anchored on boundary circle. distinguish five phases depending existence black hole, intersection its horizon with wall, and fate inertial observers. show that, like Hawking-Page transition, capture by is also first orde...