21,255 research outputs found
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 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
Conserved currents of any spin built from bosonic symmetric massless
gauge fields of arbitrary integer spins in are found. Analogously to
the case of 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 Minkowski Space
Conserved currents of any spin built from symmetric massless gauge
fields of any integer spin 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
deformation.Comment: 17 pages; V2: Minor corrections, the version published in the volume
in honor of Andrei Alekseevich Slavno
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