Unitary subsector of generalized minimal models

Behan, Connor

doi:10.1103/physrevd.97.094020

Cited by 14 publications

(14 citation statements)

References 115 publications

(262 reference statements)

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“…This is consistent with the expectation that such multiplets may be identified with the existence of a mixed branch[53]. Although this is not conclusive evidence for the absence of this multiplet, we take it as an indication that if there are multiple solutions to the crossing equations7 See, however,[76] for subtitles that arise when considering systems of mixed correlators 8. Various limits of the superconformal index of Argyres-Douglas theories had been obtained before in[70,[78][79][80].…”

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confidence: 86%

Bootstrapping the (A1, A2) Argyres-Douglas theory

Cornagliotto

Lemos

Liendo

2018

J. High Energ. Phys.

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We apply bootstrap techniques in order to constrain the CFT data of the (A 1 , A 2 ) Argyres-Douglas theory, which is arguably the simplest of the Argyres-Douglas models. We study the four-point function of its single Coulomb branch chiral ring generator and put numerical bounds on the low-lying spectrum of the theory. Of particular interest is an infinite family of semi-short multiplets labeled by the spin . Although the conformal dimensions of these multiplets are protected, their three-point functions are not. Using the numerical bootstrap we impose rigorous upper and lower bounds on their values for spins up to = 20. Through a recently obtained inversion formula, we also estimate them for sufficiently large , and the comparison of both approaches shows consistent results. We also give a rigorous numerical range for the OPE coefficient of the next operator in the chiral ring, and estimates for the dimension of the first R-symmetry neutral non-protected multiplet for small spin.

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confidence: 86%

Bootstrapping the (A1, A2) Argyres-Douglas theory

Cornagliotto

Lemos

Liendo

2018

J. High Energ. Phys.

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“…We will set d = 4 throughout in order to work with a correlator system that involves 3d conformal blocks. 17 As discussed in [44,45], similar problems with 2d blocks often require more experimentation with the gaps being imposed. These works are concerned with maximizing the gap in the scalar sector, and indeed, we can provide a nice preview of our results by doing the same.…”

Section: Jhep12(2020)182mentioning

confidence: 99%

Bootstrapping boundary-localized interactions

Behan

Pietro

Lauria

et al. 2020

J. High Energ. Phys.

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We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities. For this free bulk theory there are strong restrictions on the possible boundary dynamics. In particular, we find that the bulk-to-boundary operator expansion of the bulk field involves at most a ‘shadow pair’ of boundary fields, irrespective of the conformal boundary condition. We numerically analyze the four-point crossing equations for this shadow pair in the case of a three-dimensional boundary (so a four-dimensional scalar field) and find that large ranges of parameter space are excluded. However a ‘kink’ in the numerical bounds obeys all our consistency checks and might be an indication of a new conformal boundary condition.

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“…We will obtain a unified picture of D-series minimal models as special cases of CFTs that depend smoothly on the central charge. Having a picture of the space of consistent CFTs, and not just of isolated points such as minimal models, is particularly important when using solvable CFTs as testing grounds for numerical bootstrap techniques [3].…”

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confidence: 99%

On 2d CFTs that interpolate between minimal models

Ribault¹

2019

SciPost Phys.

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We investigate exactly solvable two-dimensional conformal field theories that exist at generic values of the central charge, and that interpolate between A-series or Dseries minimal models. When the central charge becomes rational, correlation functions of these CFTs may tend to correlation functions of minimal models, or diverge, or have finite limits which can be logarithmic. These results are based on analytic relations between four-point structure constants and residues of conformal blocks.

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Unitary subsector of generalized minimal models

Cited by 14 publications

References 115 publications

Bootstrapping the (A1, A2) Argyres-Douglas theory

Bootstrapping the (A1, A2) Argyres-Douglas theory

Bootstrapping boundary-localized interactions

On 2d CFTs that interpolate between minimal models

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