Form factors for principal chiral field model with Wess-Zumino-Novikov-Witten term

We construct the form factors of the trace of energy-momentum tensor for the massless model described by $SU(2)$ principal chiral field model with WZNW tern on level 1. We explain how this construction can be generalized to a class of integrable massless models including the flow from tricritical to critical Ising model.Comment: 9 pages, LATE

Lepton mixing from the hidden sector

Experimental results indicate a possible relation between the lepton and quark mixing matrices of the form U_PMNS \approx V_CKM^\dagger U_X, where U_X is a matrix with special structure related to the mechanism of neutrino mass generation. We propose a framework which can realize such a relation. The main ingredients of the framework are the double seesaw mechanism, SO(10) Grand Unification and a hidden sector of theory. The latter is composed of singlets (fermions and bosons) of the GUT symmetry with masses between the GUT and Planck scale. The interactions in this sector obey certain symmetries G_hidden. We explore the conditions under which symmetries G_hidden can produce flavour structures in the visible sector. Here the key elements are the basis-fixing symmetry and mediators which communicate information about properties of the hidden sector to the visible one. The interplay of SO(10) symmetry, basis-fixing symmetry identified as Z2 x Z2 and G_hidden can lead to the required form of U_X. A different kind of new physics is responsible for generation of the CKM mixing. We present the simplest realizations of the framework which differ by nature of the mediators and by symmetries of the hidden sector.Comment: 30 pages, 6 figures; typo corrected, one reference added, version for publication in Phys. Rev.

Gauge Non-Invariant Higher-Spin Currents in AdS4AdS_4

Conserved currents of any spin $t>0$ built from bosonic symmetric massless gauge fields of arbitrary integer spins in $AdS_4$ are found. Analogously to the case of $4d$ Minkowski space, currents considered in this paper are not gauge invariant but generate gauge invariant conserved charges.Comment: 18 pages; V2: Typos and coefficients corrected, published versio

Gauge Non-Invariant Higher-Spin Currents in 4d4d Minkowski Space

Conserved currents of any spin $t>0$ built from symmetric massless gauge fields of any integer spin $s \geq t$ in {4d} Minkowski space are found. In particular, stress-energy tensor for a higher-spin field of any spin is constructed. Analogously to spin-two stress (pseudo)tensor, currents considered in this paper are not gauge invariant. However, they are shown to generate gauge invariant conserved charges. Besides expected parity even HS currents, we found unexpected parity odd currents that generate less symmetries than the even ones. It is argued that these odd currents unlikely admit a consistent $AdS$ deformation.Comment: 17 pages; V2: Minor corrections, the version published in the volume in honor of Andrei Alekseevich Slavno