Chern-Simons dualities with multiple flavors at large N

Jensen, Kristan; Patil, Prachi

doi:10.1007/jhep12(2019)043

Cited by 9 publications

(3 citation statements)

References 57 publications

(120 reference statements)

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“…The off-shell free energy is a quantity that depends on some auxiliary variables in addition to the UV parameters of the theory, the temperature, chemical potential and eigenvalue distribution ρ. It turns out that once we perform the path integral (3.3) via saddle point approximation and obtain an answer for v [ρ] at each of the various large N saddle points, the whole procedure can be replaced by a simpler one: that of performing an ordinary integral over a few auxiliary variables, denoted collectively as ϕ aux , with the integrand being a function of these variables rather than being a functional of fields: 73,80] and F (ϕ aux ; ρ] in the presence of chemical potential were carefully computed only for values of the chemical potential smaller than the thermal masses of the bosonic or fermionic excitations in the respective theories. We present these expressions for the free energy in the next subsection.…”

Section: The Off-shell Free Energymentioning

confidence: 99%

Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle

Minwalla

Mishra

2020

J. High Energ. Phys.

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We generalize previously obtained results for the (all orders in the ’t Hooft coupling) thermal free energy of bosonic and fermionic large N Chern-Simons theories with fundamental matter, to values of the chemical potential larger than quasiparticle thermal masses. Building on an analysis by Geracie, Goykhman and Son, we present a simple explicit formula for the occupation number for a quasiparticle state of any given energy and charge as a function of the temperature and chemical potential. This formula is a generalization to finite ’t Hooft coupling of the famous occupation number formula of Bose-Einstein statistics, and implies an exclusion principle for Chern-Simons coupled bosons: the total number of bosons occupying any particular state cannot exceed the Chern-Simons level. Specializing our results to zero temperature we construct the phase diagrams of these theories as a function of chemical potential and the UV parameters. At large enough chemical potential, all the bosonic theories we study transit into a compressible Bose condensed phase in which the runaway instability of free Bose condensates is stabilized by the bosonic exclusion principle. This novel Bose condensate is dual to — and reproduces the thermodynamics of — the fermionic Fermi sea.

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Section: The Off-shell Free Energymentioning

confidence: 99%

Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle

Minwalla

Mishra

2020

J. High Energ. Phys.

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“…This duality is embedded within a larger duality web [15][16][17][18], where different bosonic and fermionic theories can be related to each other by duality transformations. There are variations that consider more than one fermionic flavor [16,[19][20][21][22][23], as well as proposed extensions to 3+1 dimensions [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Fermionic dualities with axial gauge fields

Grushin,

Palumbo

2020

Preprint

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The dualities that map hard-to-solve, interacting theories to free, non-interacting ones often trigger a deeper understanding of the systems to which they apply. However, simplifying assumptions such as Lorentz invariance, low dimensionality, or the absence of axial gauge fields, limit their application to a broad class of systems, including topological semimetals. Here we derive several axial field theory dualities in 2+1 and 3+1 dimensions by developing an axial slave-rotor approach capable of accounting for the axial anomaly. Our 2+1-dimensional duality suggests the existence of a dual, critical surface theory for strained three-dimensional non-symmorphic topological insulators. Our 3+1-dimensional duality maps free Dirac fermions to Dirac fermions coupled to emergent U(1) and Kalb-Ramond vector and axial gauge fields. Upon fixing an axial field configuration that breaks Lorentz invariance, this duality maps free to interacting Weyl semimetals, thereby suggesting that the quantization of the non-linear circular photogalvanic effect can be robust to certain interactions. Our work emphasizes how axial and Lorentz-breaking dualities improve our understanding of topological matter.

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“…Some of these flows lead to supersymmetric fixed points where the bosonization duality [31][32][33][34] is related to the already well known Giveon-Kutasov duality [35][36][37]. 4 Recent computations have also investigated the duality in the Higgsed phase [38,39], finite temperature, background fields and additional flavors (see [40][41][42][43]). In particular, the puzzle of matching the dimensions of monopole operators [44] has led to the conjecture of the duality for finite N, κ [45].…”

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confidence: 99%

Scattering amplitudes in $$ \mathcal{N} $$ = 3 supersymmetric SU(N) Chern-Simons-matter theory at large N

Inbasekar

Janagal

Shukla

2020

J. High Energ. Phys.

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We study N = 3 supersymmetric Chern-Simons-matter theory coupled to matter in the fundamental representation of SU (N ). In the 't Hooft large N limit, we compute the exact 2 → 2 scattering amplitudes of the fundamental scalar superfields to all orders in the 't Hooft coupling λ. Our computations are presented in N = 1 superspace and make significant use of the residual SO(2) R symmetry in order to solve for the exact four-point correlator of the scalar superfields. By taking the on-shell limit, we are able to extract the exact 2 → 2 scattering amplitudes of bosons/fermions in the symmetric, antisymmetric and adjoint channels of scattering. We find that the scattering amplitude of the N = 3 theory in the planar limit is tree-level exact to all orders in the 't Hooft coupling λ. The result is consistent with the conjectured bosonization duality and is expected to have enhanced symmetry structures such as dual superconformal symmetry and Yangian symmetry.

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Chern-Simons dualities with multiple flavors at large N

Cited by 9 publications

References 57 publications

Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle

Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle

Fermionic dualities with axial gauge fields

Scattering amplitudes in $$ \mathcal{N} $$ = 3 supersymmetric SU(N) Chern-Simons-matter theory at large N

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