Fermion-boson duality in integrable quantum field theory

P. Baseilhac; V. A. Fateev

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Fermion-boson duality in integrable quantum field theory

P. Baseilhac, V. A. Fateev

High Energy Physics - Theory · Submitted 30 May 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Perturbative calculations, analysis of the factorized scattering theory and the Bethe ansatz technique are applied to show that under duality transformation, which relates weak and strong coupling regimes of the theory the fermions $\psi,\psi^{\dagger}$ transform to bosons and $\chi,\bar{\chi}$ and vive versa.

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We introduce and study one parameter family of integrable quantum field theories. This family has a Lagrangian description in terms of massive Thirring fermions $\psi,\psi^{\dagger}$ and charged bosons $\chi,\bar{\chi}$ of complex sinh-Gordon model coupled with $BC_n$ affine Toda theory. Perturbative calculations, analysis of the factorized scattering theory and the Bethe ansatz technique are applied to show that under duality transformation, which relates weak and strong coupling regimes of the theory the fermions $\psi,\psi^{\dagger}$ transform to bosons and $\chi,\bar{\chi}$ and vive versa. The scattering amplitudes of neutral particles in this theory coincide exactly with S-matrix of particles in pure $BC_n$ Toda theory, i.e. the contribution of charged bosons and fermions to these amplitudes exactly cancel each other. We describe and discuss the symmetry responsible for this compensation property.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We introduce and study one parameter family of integrable quantum field theories.	contribution 1.00	0.94	0.05	asserted 0.97
s1	This family has a Lagrangian description in terms of massive Thirring fermions $\psi,\psi^{\dagger}$ and charged bosons $\chi,\bar{\chi}$ of complex sinh-Gordon model coupled with $BC_n$ affine Toda theory.	contribution 0.91	0.57	0.06	asserted 1.00
s2	Perturbative calculations, analysis of the factorized scattering theory and the Bethe ansatz technique are applied to show that under duality transformation, which relates weak and strong coupling regimes of the theory the fermions $\psi,\psi^{\dagger}$ transform to bosons and $\chi,\bar{\chi}$ and vive versa.	result 0.84	0.92	0.69	asserted 1.00
s3	The scattering amplitudes of neutral particles in this theory coincide exactly with S-matrix of particles in pure $BC_n$ Toda theory, i.e. the contribution of charged bosons and fermions to these amplitudes exactly cancel each other.	result 1.00	0.88	0.23	asserted 1.00
s4	We describe and discuss the symmetry responsible for this compensation property.	contribution 0.83	0.90	0.08	asserted 0.59

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Original abstract

We introduce and study one parameter family of integrable quantum field theories. This family has a Lagrangian description in terms of massive Thirring fermions $\psi,\psi^{\dagger}$ and charged bosons $\chi,\bar{\chi}$ of complex sinh-Gordon model coupled with $BC_n$ affine Toda theory. Perturbative calculations, analysis of the factorized scattering theory and the Bethe ansatz technique are applied to show that under duality transformation, which relates weak and strong coupling regimes of the theory the fermions $\psi,\psi^{\dagger}$ transform to bosons and $\chi,\bar{\chi}$ and vive versa. The scattering amplitudes of neutral particles in this theory coincide exactly with S-matrix of particles in pure $BC_n$ Toda theory, i.e. the contribution of charged bosons and fermions to these amplitudes exactly cancel each other. We describe and discuss the symmetry responsible for this compensation property.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

de Sitter Vacua in String Theory
hep-th 2003-01 conditional novelty 9.0 of 10

Type IIB flux compactification, plus a non-perturbative superpotential, plus a warped anti-D3 uplift, yields a metastable de Sitter vacuum with all moduli fixed and a lifetime far exceeding 10^10 years.
Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory
hep-th 2001-12 conditional novelty 8.0 of 10

Anti-D3 branes in the Klebanov-Strassler geometry form a classically stable fivebrane that quantum-mechanically tunnels to a supersymmetric vacuum with one less unit of flux, at an exponentially suppressed rate.
Hard Scattering and Gauge/String Duality
hep-th 2001-09 accept novelty 8.0 of 10

Warped geometry in confining gauge/string duals forces high-energy glueball scattering into the hard regime, reproducing QCD's power-law dimensional counting from a string description.
Hierarchies from Fluxes in String Compactifications
hep-th 2001-05 accept novelty 8.0 of 10

Compact string compactifications with quantized RR and NS fluxes produce an exponentially small hierarchy of scales, set by the flux integers and matching the Klebanov-Strassler gauge-theory cascade.

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14 arXiv papers cite this in 27 sentences

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Uses its method or tool 1 paper

Following the Randall and Sundrum approach [ref] we take mass parameters of matter action written in the primordial metric of the action ([ref]) equal to the fundamental scale $M$.

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[equation] This is a direct analogy of the fine-tuning of the bulk cosmological constant and brane's tension demanded in the Randall-Sundrum model [ref] .

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[equation] where $T$ is the brane tension, $ρ$ the energy density on the brane, and we assume the RS fine tuning condition [ref] [equation]

Graviton production in anti-de Sitter braneworld cosmology: A fully consistent treatment of the boundary condition · The background · 0.80
where $σ$ is the brane tension, $ρ$ the energy density on the brane, and we assume the RS fine tuning condition [ref] [equation]

Braneworlds, graviton production, dynamical Casimir effect · The background · 0.82
Sundrum constructed two 5D universe models to overcome hierarchy problem and the weakness of gravity in [ref] and [ref] , but the second one attracts more interest and has a very good agreement with observations.

F-term Inflation and RSII Brane Mode · Inflation on the $RSII$ Braneworld model · 0.99

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