Integrable lattice spin models from supersymmetric dualities

Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram, the partition function of the lattice model is the partition function of the gauge theory and the Yang-Baxter equation expresses the identity of partition functions for dual pairs. This correspondence is a powerful tool which enables us to generate new integrable models. The aim of the present paper is to give a short account on a progress in integrable lattice models which has been made due to the relationship with supersymmetric gauge theories.Comment: 35 pages, preliminary versio

Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity

We present a multi-spin solution to the Yang-Baxter equation. The solution corresponds to the integrable lattice spin model of statistical mechanics with positive Boltzmann weights and parameterized in terms of the basic hypergeometric functions. We obtain this solution from a non-trivial basic hypergeometric sum-integral identity which originates from the equality of supersymmetric indices for certain three-dimensional N=2 Seiberg dual theories.Comment: 8 pp, based on a talk given at the XXVth International Conference on Integrable Systems and Quantum symmetries (ISQS-25), Prague, Czech Republic, 06-10 June, 2017; v2: minor change

Anomalous interactions for heterochiral mesons with JPC=1+−J^{PC}=1^{+-} and 2−+2^{-+}

It is well known that topologically nontrivial fluctuations, such as instantons,control the anomalous interactions of mesons in the pseudoscalar multiplet, $J^{PC}=0^{-+}$, especially for the $\eta$'. We consider the anomalous interactions for mesons with higher spin, the heterochiral pseudovector and pseudotensor nonets with $J^{PC}=1^{+-}$ and $2^{-+}$. Using a dilute gas of instantons, we find that the mixing angle between non-strange and strange mesons decreases strongly as $J$ increases, and oscillates in sign. There are also other anomalous interactions which open up new, albeit rare, decay channels.Comment: 11 pages, 3 figures, 4 table

Thermodynamics of the Glueball Resonance Gas

We study the thermodynamic properties -- pressure, entropy and trace anomaly -- of a gas of glueballs that includes the glueball states obtained by various lattice simulations. We show that this model, called Glueball Resonance Gas (GRG) approach, describes well the thermal properties of the Yang-Mills sector of QCD below the critical temperature $T_c$, provided that $T_c$ is properly matched to the corresponding determination of the glueball masses, obtaining $T_c \sim 320 \pm 20$ MeV. The inclusion into the GRG of heavier glueballs not yet seen on the lattice, assuming that glueballs follow Regge trajectories as quark-antiquark states do, leads only to a small correction. We consider the contribution to the pressure of the interactions between scalar-scalar and tensor-tensor glueballs, which turn out to be also negligible.Comment: 18 pages, 6 figure

Is f2(1950)f_2(1950) the tensor glueball?

Glueballs remain an experimentally undiscovered expectation of QCD. Lattice QCD (As well as other theoretical approaches) predicts a spectrum of glueballs, with the tensor ($J^{PC}=2^{++}$) glueball being the second lightest, behind the scalar glueball. Here, using a chiral hadronic model, we compute decay ratios of the tensor glueball into various meson decay channels. We find the tensor glueball to primarily decay into two vector mesons, dominated by $\rho \rho$ and $K^*K^*$ channels. These results are compared to experimental data of decay rates of isoscalar tensor mesons. Based on this comparison, we make statements on the eligibility of these mesons as potential tensor glueball candidates: the resonance $f_2(1950)$ turns out to be, at present, the best match as being predominantly a tensor glueball.Comment: v3 fixed email and tabl

Study of new variables for the search of the Higgs boson coupled to top quarks in the multi-lepton final state

We perform a study looking for new variables to be used in the search of the Higgs boson coupled to top quarks in the multi-lepton final state. We extend the study of the 3D impact parameter significance already used in the analysis performed at 8 TeV to the 3D impact parameter value and the signed variants. We show from Monte Carlo simulation that the signed variants may be useful for the lepton selection of this analysis. We also perform a preliminary data to Monte Carlo simulation comparison using about 48 /pb of integrated luminosity picked up by the CMS experiment from pp collision at a center-of-mass energy of 13 TeV