Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Hook, Anson; Kachru, Shamit; Torroba, Gonzalo; Wang, Huajia

doi:10.1007/jhep08(2014)031

Cited by 10 publications

(15 citation statements)

References 50 publications

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“…Nevertheless, we may derive an approximate correspondence by noting that v * Ψ ∼ λ from the quantum numbers in both theories, and |v| 2 ∼ σ from the couplings ofD J on both sides. These also agree with the Taub-NUT map of the underlying N = 4 theory [31,32]. Therefore, |v| 4 and |v| 2Ψ Ψ map to masses for σ and the gaugino in theory B.…”

Section: Chiral Mirror Symmetrysupporting

confidence: 80%

Nonsupersymmetric Dualities from Mirror Symmetry

et al. 2017

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We study supersymmetry breaking perturbations of the simplest dual pair of 2+1-dimensional N =2 supersymmetric field theories -the free chiral multiplet and N = 2 super-QED with a single flavor. We find dual descriptions of a phase diagram containing four distinct massive phases. The equivalence of the intervening critical theories gives rise to several non-supersymmetric avatars of mirror symmetry: we find dualities relating scalar QED to a free fermion and Wilson-Fisher theories to both scalar and fermionic QED. Thus, mirror symmetry can be viewed as the multicritical parent duality from which these non-supersymmetric dualities directly descend.

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Section: Chiral Mirror Symmetrysupporting

confidence: 80%

Nonsupersymmetric Dualities from Mirror Symmetry

et al. 2017

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“…Recently, Hook et al used mirror symmetry to argue that the ground state of ð2 þ 1Þ-dimensional supersymmetric QED in the presence of magnetic impurities is characterized by an emergent Fermi surface which encloses a volume proportional to the magnetic field [54]. The emergent fermion is a fermionic vortex which was interpreted as a bound state of a gaugino with a dual photon.…”

Section: Discussionmentioning

confidence: 99%

Is the Composite Fermion a Dirac Particle?

2015

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We propose a particle-hole symmetric theory of the Fermi-liquid ground state of a half-filled Landau level. This theory should be applicable for a Dirac fermion in the magnetic field at charge neutrality, as well as for the ν ¼ 1 2 quantum Hall ground state of nonrelativistic fermions in the limit of negligible interLandau-level mixing. We argue that when particle-hole symmetry is exact, the composite fermion is a massless Dirac fermion, characterized by a Berry phase of π around the Fermi circle. We write down a tentative effective field theory of such a fermion and discuss the discrete symmetries, in particular, CP. The Dirac composite fermions interact through a gauge, but non-Chern-Simons, interaction. The particle-hole conjugate pair of Jain-sequence states at filling factors n=ð2n þ 1Þ and ðn þ 1Þ=ð2n þ 1Þ, which in the conventional composite fermion picture corresponds to integer quantum Hall states with different filling factors, n and n þ 1, is now mapped to the same half-integer filling factor n þ 1 2 of the Dirac composite fermion. The Pfaffian and anti-Pfaffian states are interpreted as d-wave Bardeen-Cooper-Schrieffer paired states of the Dirac fermion with orbital angular momentum of opposite signs, while s-wave pairing would give rise to a particle-hole symmetric non-Abelian gapped phase. When particle-hole symmetry is not exact, the Dirac fermion has a CP-breaking mass. The conventional fermionic Chern-Simons theory is shown to emerge in the nonrelativistic limit of the massive theory.

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“…In what follows we show that equations (21,24) map the magnetic field to the charge density on the opposite side of duality, and equations (22,23) relate the v.e.v. 's and the sources on the electric and magnetic sides.…”

Section: A Equations Of Motionmentioning

confidence: 79%

“…Therefore eqs. (22,23) are the duality relations for the condensates in the electric and magnetic systems. The gauge fields which satisfy the equations of motion should also satisfy the duality relations.…”

Section: A Equations Of Motionmentioning

confidence: 99%

S -duality for holographic p -wave superconductors

et al. 2017

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We consider the generalization of the S-duality transformation previously investigated in the context of the FQHE and s-wave superconductivity to p-wave superconductivity in 2+1 dimensions in the framework of the AdS/CFT correspondence. The vector Cooper condensate transforms under the S-duality action to the pseudovector condensate at the dual side. The 3+1-dimensional Einstein-Yang-Mills theory, the holographic dual to p-wave superconductivity, is used to investigate the S-duality action via the AdS/CFT correspondence. It is shown that in order to implement the duality transformation, chemical potentials both on the electric and magnetic side of the duality have to be introduced. A relation for the product of the nonabelian conductivities in the dual models is derived. We also conjecture a flavor S-duality transformation in the holographic dual to 3+1-dimensional QCD low-energy QCD with non-abelian flavor gauge groups. The conjectured S-duality interchanges isospin and baryonic chemical potentials.

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Emergent Fermi surfaces, fractionalization and duality in supersymmetric QED

Cited by 10 publications

References 50 publications

Nonsupersymmetric Dualities from Mirror Symmetry

Nonsupersymmetric Dualities from Mirror Symmetry

Is the Composite Fermion a Dirac Particle?

S -duality for holographic p -wave superconductors

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