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We give an explicit $L^2$-representation of chiral charged fermions using the Hardy-Lebesgue octant decomposition. In the " pure" case such a representation was already used by M. Sato in holonomic field theory. We study both "pure" and "…

High Energy Physics - Theory · Physics 2007-05-23 Florin Constantinescu , Guenter Scharf

In this work we continue the study of the one-loop partition function for higher derivative conformal higher spin (CHS) fields in six dimensions and its holographic counterpart given by massless higher spin Fronsdal fields in seven…

High Energy Physics - Theory · Physics 2023-01-11 R. Aros , F. Bugini , D. E. Díaz

We analyze whether or not Lifshitz field theories in 4 + 1 dimensions may provide ultraviolet-complete domain-wall brane models. We first show that Lifshitz scalar field theory can admit topologically stable domain wall solutions. A…

High Energy Physics - Phenomenology · Physics 2011-01-17 Jayne E. Thompson , Raymond R. Volkas

The Hamiltonian formulation for nonlinear chiral 2-form electrodynamics in six-dimensional Minkowski spacetime is used to show that small-amplitude plane-wave perturbations of a generic uniform constant `magnetic' background exhibit…

High Energy Physics - Theory · Physics 2023-07-12 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

In phenomenological models with extra dimensions there is a natural symmetry group associated to a brane universe, -- the group of rotations of normal bundle of the brane. We consider Kaluza-Klein gauge fields corresponding to this group…

High Energy Physics - Theory · Physics 2009-11-07 Andrey Neronov

We study massive 1/2-spin particles in various external backgrounds keeping in mind applications to neutrino physics. We are mainly interested in massive Majorana (Weyl) fields. However, massive neutral Dirac particles are also considered.…

High Energy Physics - Theory · Physics 2013-01-25 Maxim Dvornikov , D. M. Gitman

We construct the double copy of the chiral higher-spin theory. It is a Lorentz invariant theory with the little group spectrum given by the tensor square of the chiral higher-spin theory spectrum. Moreover, its interactions factorise in…

High Energy Physics - Theory · Physics 2025-02-07 Dmitry Ponomarev

We compute the transmission coefficients and zero-temperature conductance for chiral quasiparticles propagating through various geometries, which consist of junctions of three-dimensional nodal-point semimetals. In the first scenario, we…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Ipsita Mandal

Spin-one matter fields are relevant both for the description of hadronic states and as potential extensions of the Standard Model. In this work we present a formalism for the description of massive spin-one fields transforming in the…

High Energy Physics - Phenomenology · Physics 2016-04-13 M. Napsuciale , S. Rodríguez , Rodolfo Ferro-Hernández , Selim Gómez-Ávila

We present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy limit is governed by four flavors of strongly interacting Majorana fermions. We study this low-energy effective theory using two alternative…

Strongly Correlated Electrons · Physics 2017-12-19 Jyong-Hao Chen , Christopher Mudry , Claudio Chamon , A. M. Tsvelik

In a previous companion paper [arXiv:0712.3532], we proposed two new regulators for quantum field theories in spacetimes with compactified extra dimensions. Unlike most other regulators which have been used in the extra-dimension…

High Energy Physics - Theory · Physics 2008-11-26 Sky Bauman , Keith R. Dienes

Massless chiral fields of arbitrary spin in six spacetime dimensions, also known as higher spin singletons, admit a simple formulation in terms of $SU^*(4) \cong SL(2,\mathbb{H})$ tensors. We show that, paralleling the four-dimensional…

High Energy Physics - Theory · Physics 2025-10-01 Thomas Basile

A system of generalized coherent states for the de Sitter group obeying Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

In higher dimensional theories, we often assume that the extra dimensions form an orientable space, perhaps with singularities. However, many physical theories are well-defined on non-orientable spaces, and many spaces are not orientable,…

High Energy Physics - Theory · Physics 2026-03-24 Brian Greene , Daniel Kabat , Janna Levin , Massimo Porrati

We evaluate the propagator of scalar and spinor in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.We work well in position space to treat infrared divergences in our model.…

High Energy Physics - Theory · Physics 2009-11-10 Y. Hoshino

Reductions from six to four spacetime dimensions are considered for a class of supergravity models based on the six-dimensional Salam-Sezgin model, which is a chiral theory with a gauged U(1) R-symmetry and a positive scalar-field…

High Energy Physics - Theory · Physics 2015-05-30 C. N. Pope , T. G. Pugh , K. S. Stelle

We study four dimensional $SU(2)$ Yang-Mills theory with two massless adjoint Weyl fermions. When compactified on a spatial circle of size $L$ much smaller than the strong-coupling scale, this theory can be solved by weak-coupling…

High Energy Physics - Theory · Physics 2018-09-12 Mohamed M. Anber , Erich Poppitz

We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and…

High Energy Physics - Theory · Physics 2010-04-07 S. Gukov , C. Vafa , E. Witten

We investigate a model in which spinors are considered as being embedded within the Clifford algebra that operates on them. In Minkowski space $M_{1,3}$, we have four independent 4-component spinors, each living in a different minimal left…

High Energy Physics - Theory · Physics 2013-02-05 Matej Pavsic

We study a complex Dirac field in the chiral representation minimally coupled to gravity in 3+1 dimensions in the context of Einstein-Cartan theory. Generically the matter content gravitates in two different ways: On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-03-12 Adolfo Toloza