Monopole Operators and Their Symmetries in QED3-Gross–Neveu Models

Dupuis, Éric; Paranjape, M. B.; Witczak-Krempa, William

doi:10.1007/978-3-030-55777-5_31

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…Note that for these monopole operators, as well as for the ones mentioned in the next two subsections and in [56][57][58], the large q expansion works quite well all the way down to q = 1 (this was first observed in the context of the expansion of their dimensions in [59]).…”

Section: The Quartic O(n ) Model In D Dimensions At Large Nmentioning

confidence: 53%

On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture

Aharony,

Palti

2021

Preprint

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The Weak Gravity Conjecture is typically stated as a bound on the mass-to-charge ratio of a particle in the theory. Alternatively, it has been proposed that its natural formulation is in terms of the existence of a particle which is self-repulsive under all long-range forces. We propose a closely related, but distinct, formulation, which is that it should correspond to a particle with non-negative self-binding energy. This formulation is particularly interesting in anti-de Sitter space, because it has a simple conformal field theory (CFT) dual formulation: let ∆(q) be the dimension of the lowest-dimension operator with charge q under some global U (1) symmetry, then ∆(q) must be a convex function of q. This formulation avoids any reference to holographic dual forces or even to locality in spacetime, and so we make a wild leap, and conjecture that such convexity of the spectrum of charges holds for any (unitary) conformal field theory, not just those that have weakly coupled and weakly curved duals. This Charge Convexity Conjecture, and its natural generalization to larger global symmetry groups, can be tested in various examples where anomalous dimensions can be computed, by perturbation theory, 1/N expansions and semi-classical methods. In all examples that we tested we find that the conjecture holds. We do not yet understand from the CFT point of view why this is true.

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Section: The Quartic O(n ) Model In D Dimensions At Large Nmentioning

confidence: 53%

On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture

Aharony,

Palti

2021

Preprint

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“…In the normalization (2), the charge q is restricted by Dirac quantization to take the values q ∈ Z/2. As in [20,21,24,[26][27][28][29][30][31][32][33][34], we will compute the scaling dimension of the lowest dimension monopole operators using the state-operator correspondence, which identifies the scaling dimensions of monopole operators of charge q with the energies of states in the Hilbert space on S 2 × R with 4πq magnetic flux through the sphere [20]. The ground state energy on S 2 × R can then be computed in the large N and k limit using a saddle point expansion.…”

mentioning

confidence: 99%

Evidence for 3d bosonization from monopole operators

Chester¹,

DuPuis²,

Witczak-Krempa³

2022

Preprint

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We give evidence for 3d bosonization in Conformal Field Theories (CFTs) by computing monopole operator scaling dimensions in 2+1 dimensional quantum electrodynamics (QED3) with Chern-Simons level k and N complex bosons in a large N, k expansion. We first consider the k = 0 case, where we show that scaling dimensions previously computed to subleading order in 1/N can be extrapolated to N = 1 and matched to O(2) Wilson-Fisher CFT scaling dimensions with around 5% error, which is evidence for particle-vortex duality. We then generalize the subleading calculation to large N, k and fixed k/N , extrapolate to N = k = 1, and consider monopole operators that are conjectured to be dual to non-degenerate scalar operators in a theory of a single Dirac fermion. We find matches typically with 1% error or less, which is strong evidence of this so-called 'seed' duality that implies a web of 3d bosonization dualities among CFTs.

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Monopole hierarchy in transitions out of a Dirac spin liquid

Dupuis

Witczak-Krempa

2021

Annals of Physics

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Monopole Operators and Their Symmetries in QED3-Gross–Neveu Models

Cited by 3 publications

References 18 publications

On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture

On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture

Evidence for 3d bosonization from monopole operators

Monopole hierarchy in transitions out of a Dirac spin liquid

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