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Nonperturbative terms in the free energy of Chern-Simons gauge theory play a key role in its duality to the closed topological string. We show that these terms are reproduced by performing a double scaling limit near the point where the…

高能物理 - 理论 · 物理学 2010-12-03 Sumit R. Das , Cesar Gomez

We study the properties of a bosonization procedure based on Clifford algebra valued degrees of freedom, valid for spaces of any dimension. We present its interpretation in terms of fermions in presence of $\mathbb{Z}_2$ gauge fields…

数学物理 · 物理学 2021-02-03 Arkadiusz Bochniak , Błażej Ruba

We discuss bosonization in three dimensions of an $SU(N)$ massive Thirring model in the low-energy regime. We find that the bosonized theory is related (but not equal) to $SU(N)$ Yang-Mills-Chern-Simons gauge theory. For free massive…

高能物理 - 理论 · 物理学 2016-09-06 Ninoslav Brali{ć} , Eduardo Fradkin , Virginia Manias , Fidel A. Schaposnik , .

We explore new infrared dualities in $(2+1)$-dimensional quantum field theories involving Majorana fermions. Building on the recently proposed operator-deformation approach to bosonization dualities, we incorporate the bosonization of…

高能物理 - 理论 · 物理学 2026-02-16 Andrea Amoretti , Matteo Anselmi , Daniel K. Brattan

In [1] a new bosonization procedure has been illustrated, which allows to express a fermionic gaussian system in terms of commuting variables at the price of introducing an extra dimension. The Fermi-Bose duality principle established in…

无序系统与神经网络 · 物理学 2009-11-07 Franco Ferrari

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual…

高能物理 - 理论 · 物理学 2008-11-26 A. F. Ferrari , M. Gomes , J. R. S. Nascimento , A. Yu. Petrov , A. J. da Silva

We study a model in $d = 2 + 1$ space-time dimensions with two sectors. One of them, which can be considered as the visible sector, contains just a $U(1)$ gauge field which acts as a probe for the other (hidden) sector, given by a second…

高能物理 - 理论 · 物理学 2020-06-24 Alan Rapoport , Fidel A. Schaposnik

We construct the general formulation of N=1 supersymmetric self-dual abelian gauge theory involving auxiliary chiral spinor superfields. Self-duality in this context is just U(N) invariance of the nonlinear interaction of the auxiliary…

高能物理 - 理论 · 物理学 2015-06-15 Evgeny Ivanov , Olaf Lechtenfeld , Boris Zupnik

We discuss how electromagnetically dualizing a 1-form to a 2-form in AdS$_5$ exchanges regular and alternate boundary conditions, and thus gauges the originally global $U(1)$ symmetry in the dual field theory. The generalized symmetry…

高能物理 - 理论 · 物理学 2021-01-20 Oliver DeWolfe , Kenneth Higginbotham

We study the effect of a Chern-Simons (CS) term in the phase structure of two different Abelian gauge theories. For the compact Maxwell-Chern-Simons theory, we obtain that for values $g=n/2\pi$ of the CS coupling with $n=\pm 1,\pm 2$, the…

强关联电子 · 物理学 2007-05-23 E. Smorgrav , J. Smiseth , A. Sudbo , F. S. Nogueira

Exact constant solutions of field equations in the classical nonabelian SU(2) field theory with the Chern-Simons topological mass in 2+1-dimensional space-time have been obtained. One-loop contributions of boson and fermion fluctuations to…

高能物理 - 理论 · 物理学 2007-05-23 V. Ch. Zhukovsky , N. A. Peskov

In this paper we present a schema for describing dualities between physical theories (Sections 2 and 3), and illustrate it in detail with the example of bosonization: a boson-fermion duality in two-dimensional quantum field theory (Sections…

物理学史与哲学 · 物理学 2018-01-04 Sebastian De Haro , Jeremy Butterfield

We give explicit field theoretical representations for the observables of 2+1 dimensional Chern-Simons theory in terms of gauge invariant composites of 2D WZW fields. To test our identification we compute some basic Wilson loop correlators…

高能物理 - 理论 · 物理学 2009-10-28 D. C. Cabra , G. L. Rossini

We demonstrate that the technique of abelian bosonization through duality transformations can be extended to gauging anomalous symmetries. The example of a Dirac fermion theory is first illustrated. This idea is then also applied to…

高能物理 - 理论 · 物理学 2016-08-24 Mohammad R. Garousi

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

高能物理 - 理论 · 物理学 2015-06-22 Olaf Hohm , Barton Zwiebach

It is argued that the derivative expansion is a suitable method to deal with finite temperature field theory, if it is restricted to spatial derivatives only. Using this method, a simple and direct calculation is presented for the…

高能物理 - 理论 · 物理学 2009-11-07 L. L. Salcedo

A dual action is obtained for a general non-abelian and non-supersymmetric gauge theory at the classical level. The construction follows steps similar to those used in pure abelian gauge theory. As an example we study the spontaneously…

高能物理 - 理论 · 物理学 2007-05-23 Noureddine Mohammedi

We study the phase diagram of $SU(N)$ gauge theory in three space-time dimensions with a Chern-Simons term at level $k$, coupled to two sets of fundamental fermions with masses $m_1$ and $m_2$, respectively. The two-dimensional phase…

高能物理 - 理论 · 物理学 2019-10-02 Riccardo Argurio , Matteo Bertolini , Francesco Mignosa , Pierluigi Niro

We investigate the effects of the presence of conserved charges on the momentum-space entanglement of Quantum Field Theories (QFTs). We show that if a given model has superselection sectors, then it allows for different notions of momentum…

高能物理 - 理论 · 物理学 2025-05-20 Matheus H. Martins Costa , Flavio S. Nogueira , Jeroen van den Brink

We generalize our picture in [arXiv:0904.1744], and consider a pure abelian gauge theory on a four-manifold with nonlocal operators of every codimension arbitrarily and simultaneously inserted. We explicitly show that (i) the theory enjoys…

高能物理 - 理论 · 物理学 2019-06-07 Meng-Chwan Tan