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The Hilbert bundle for the massless fermions of the Schwinger model on a circle, over the space of gauge field configurations, is topologically non-trivial (twisted). The corresponding bundle for massive fermions is topologically trivial…

高能物理 - 理论 · 物理学 2009-10-22 M. B. Paranjape

We consider tachyon condensation in unstable ten-dimensional heterotic string theory with gauge group E8. In the background of a lightlike linear dilaton rolling to weak coupling, we find an exact solution in which the theory decays to a…

高能物理 - 理论 · 物理学 2008-04-29 Simeon Hellerman , Ian Swanson

This talk considers possible lessons of string theory for low energy physics. These are of two types. First, assuming that string theory is the correct underlying theory of all interactions, we ask whether there are any generic predictions…

高能物理 - 理论 · 物理学 2009-10-22 Michael Dine

A Poincar\'e covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin $s>1/2$ in four-dimensional Minkowski space. By making use of this Lagrange…

高能物理 - 理论 · 物理学 2012-04-13 Dmitry S. Kaparulin , Simon L. Lyakhovich , Alexey A. Sharapov

Classical results and recent developments on the theoretical description of elementary particles with "continuous" spin are reviewed. At free level, these fields are described by unitary irreducible representations of the isometry group…

高能物理 - 理论 · 物理学 2017-09-13 Xavier Bekaert , Evgeny D. Skvortsov

We study the interaction of a massless quantized spinor field with the gravitational filed of N parallel static cosmic strings by using a perturbative approach. We show that the presence of more than one cosmic string gives rise to an…

广义相对论与量子宇宙学 · 物理学 2009-10-31 A. N. Aliev , M. Hortacsu , N. Ozdemir

The spin of particles on a non-commutative geometry is investigated within the framework of the representation theory of the q-deformed Poincare algebra. An overview of the q-Lorentz algebra is given, including its representation theory…

量子代数 · 数学 2007-05-23 Christian Blohmann

We investigate the possibility that stringy nonperturbative effects appear as holes in the world-sheet. We focus on the case of Dirichlet string theory, which we argue should be formulated differently than in previous work, and we find that…

高能物理 - 理论 · 物理学 2009-10-09 Joseph Polchinski

The orthogonal groups are a series of simple Lie groups associated to symmetric bilinear forms. There is no analogous series associated to symmetric trilinear forms. We introduce an infinite dimensional group-like object that can be viewed…

表示论 · 数学 2021-09-27 Andrew Snowden

Solutions of the sourceless Einstein's equation with weak and strong cosmological constants are discussed by using In\"on\"u-Wigner contractions of the de Sitter groups and spaces. The more usual case corresponds to a weak…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. Aldrovandi , J. G. Pereira

We extend the model of string as a polymer of string bits to the case of superstring. We mainly concentrate on type II-B superstring, with some discussion of the obstacles presented by not II-B superstring, together with possible strategies…

高能物理 - 理论 · 物理学 2010-11-19 Oren Bergman , Charles B. Thorn

We formulate the conditions defining the irreducible continuous spin representation of the four-dimensional Poincar\'e group based on spin-tensor fields with dotted and undotted indices. Such a formulation simplifies analysis of the…

高能物理 - 理论 · 物理学 2018-09-05 I. L. Buchbinder , V. A. Krykhtin , H. Takata

We study in detail the irreducible representation of E theory that corresponds to massless particles. This has little algebra Ic(E9) and contains 128 physical states that belong to the spinor representation of SO(16). These are the degrees…

高能物理 - 理论 · 物理学 2021-07-07 Keith Glennon , Peter West

We analyze the Rarita--Schwinger (RS) massless theory in the Lagrangian and Hamiltonian approaches. At the Lagrangian level, the standard gamma-trace gauge fixing constraint leaves a spin-1/2 and a spin-3/2 propagating Poincar\'e group…

高能物理 - 理论 · 物理学 2023-12-29 Mauricio Valenzuela , Jorge Zanelli

In the tensionless limit of string theory on flat background all the massive tower of states gets squeezed to a common zero mass level and the free theory is described by an infinite amount of massless free fields with arbitrary integer…

高能物理 - 理论 · 物理学 2009-11-10 G. Bonelli

An analytical solution of the perturbed equations is obtained, which exists in all ergodic models of collisionless spherical stellar systems with a single length parameter. This solution corresponds to variations of this parameter, i.e.,…

星系天体物理 · 物理学 2023-11-10 Evgeny V. Polyachenko , Ilia G. Shukhman

In this review, we have reached from the most basic definitions in the theory of groups, group structures, etc. to representation theory and irreducible representations of the Poincar'e group. Also, we tried to get a more comprehensible…

群论 · 数学 2024-09-04 Meysam Hassandoust

In string theory the coupling ``constants'' appearing in the low-energy effective Lagrangian are determined by the vacuum expectation values of some (a priori) massless scalar fields (dilaton, moduli). This naturally leads one to expect a…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Thibault Damour

We study perturbation theory for spin foam models on triangulated manifolds. Starting with any model of this sort, we consider an arbitrary perturbation of the vertex amplitudes, and write the evolution operators of the perturbed model as…

广义相对论与量子宇宙学 · 物理学 2023-03-07 John C. Baez

Recently Sekino and Yoneya proposed a way to regularize the world volume theory of membranes wrapped around $S^1$ by matrices and showed that one obtains matrix string theory as a regularization of such a theory. We show that this…

高能物理 - 理论 · 物理学 2009-11-10 Masashi Hayakawa , Nobuyuki Ishibashi