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Related papers: Bosonization as Duality

200 papers

We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexist at two different temperatures. A crucial role in our…

High Energy Physics - Theory · Physics 2022-09-28 Emil Akhmedov , Henri Epstein , Ugo Moschella

We construct novel fermion-fermion dualities in $2+1$-dimensions using 3d bosonization dualities. This is achieved by relating two-node quiver theories using both the flavor-bounded and flavor-violated 3d bosonization dualities. Such…

High Energy Physics - Theory · Physics 2020-01-29 Kyle Aitken , Changha Choi , Andreas Karch

We describe a 2d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 2d lattice to a lattice gauge theory while preserving the locality of the Hamiltonian. When the space is simply-connected, this…

Strongly Correlated Electrons · Physics 2022-11-01 Yu-An Chen , Anton Kapustin , Djordje Radicevic

Dualities provide deep insight into physics by relating two seemingly distinct theories. Here we consider a duality between lattice fermions and bosons in (2+1) spacetime dimensions, relating free massive Dirac fermions to Abelian…

High Energy Physics - Theory · Physics 2020-10-28 Oguz Turker , Jeroen van den Brink , Tobias Meng , Flavio S. Nogueira

We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case.…

High Energy Physics - Theory · Physics 2007-05-23 Jiro Sakamoto , Yasuaki Fukuoka

Bosonisation of the massive Thirring model, with a non-minimal and non-abelian gauging is studied in 2+1-dimensions. The static abelian model is solved completely in the large fermion mass limit and the spectrum is obtained. The non-abelian…

High Energy Physics - Theory · Physics 2016-09-06 Subir Ghosh

Recently, a duality web for three dimensional theories with Chern-Simons terms was proposed. This can be derived from a single bosonization type duality, for which various supporting arguments (but not a proof) were given. Here we…

High Energy Physics - Theory · Physics 2018-01-17 Horatiu Nastase , Carlos Nunez

Old fashioned duality used to derive the closed string field theory for magnetic vortex from the gauge theory with Higgs scalar, is applied to the string theories. The bosonic sring theory coupled to the Kalb-Ramond 2-form field is dually…

High Energy Physics - Theory · Physics 2014-11-18 Rika Endo , Koichi Seo , Akio Sugamoto

The technique of extended dualization developed in this paper is used to bosonize quantized fermion systems in arbitrary dimension $D$ in the low energy regime. In its original (minimal) form, dualization is restricted to models wherein it…

High Energy Physics - Theory · Physics 2011-07-19 José Luis Cortés , Elena Rivas , Luis Velázquez

In this article we present bosonic T-dualization in double space of the type II superstring theory in pure spinor formulation. We use the action with constant background fields obtained from the general case under some physically and…

High Energy Physics - Theory · Physics 2019-10-08 B. Nikolić , B. Sazdović

We describe a 3d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 3d spatial lattice to a 2-form $\mathbb{Z}_2$ gauge theory with an unusual Gauss law. An important property of this map is that it…

Strongly Correlated Electrons · Physics 2019-12-25 Yu-An Chen , Anton Kapustin

We perform the complete bosonization of 2+1 dimensional QED with one fermionic flavor in the Hamiltonian formalism. The fermion operators are explicitly constructed in terms of the vector potential and the electric field. We carefully…

High Energy Physics - Theory · Physics 2009-10-22 A. Kovner , P. Kurzepa

We explore an exact duality in $(2+1)$d between the fermionization of a bosonic theory with a $\mathbb{Z}_2$ subsystem symmetry and a fermionic theory with a $\mathbb{Z}_2$ subsystem fermion parity symmetry. A typical example is the duality…

Strongly Correlated Electrons · Physics 2022-09-27 Weiguang Cao , Masahito Yamazaki , Yunqin Zheng

We present a two dimensional model of superconductivity where bosonization of fermions is described by topological fermion-boson duality. The model solves the discrepancy between theoretical and empirical values of penetration depth and…

Superconductivity · Physics 2007-05-23 F. Ghaboussi

We apply the functional bosonization procedure to a massive Dirac field defined on a 2+1 dimensional spacetime which has a non-trivial boundary. We find the form of the bosonized current both for the bulk and boundary modes, showing that…

High Energy Physics - Theory · Physics 2018-06-13 C. D. Fosco , F. A. Schaposnik

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…

Disordered Systems and Neural Networks · Physics 2009-11-07 Franco Ferrari

Two-dimensional fermionic string theory is shown to have a structure of topological model, which is isomorphic to a tensor product of two topological ghost systems independent of each other. One of them is identified with $c=1$ bosonic…

High Energy Physics - Theory · Physics 2009-10-28 Hiroshi Ishikawa

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding…

High Energy Physics - Theory · Physics 2009-10-28 E. Fradkin , F. A. Schaposnik

The evolution of a closed NSR string is considered in the background of constant graviton and antisymmetric fields. The $\sigma$-model action is written in a manifestly supersymmetric form in terms of superfields. The first order formalism…

High Energy Physics - Theory · Physics 2015-06-26 Ashok Das , Jnanadeva Maharana

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…

High Energy Physics - Theory · Physics 2016-09-06 Ninoslav Brali{ć} , Eduardo Fradkin , Virginia Manias , Fidel A. Schaposnik , .