Mixed correlator dispersive CFT sum rules

Trinh, Anh-Khoi

doi:10.1007/jhep03(2022)032

Cited by 10 publications

(14 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Various examples of analytic functionals proving optimal bootstrap bounds have appeared in the literature, starting with the case of the correlator bootstrap in 1D CFTs [40][41][42]. Other examples include the correlator bootstrap in general dimension [121][122][123][124][125][126], the correlator bootstrap in the presence of conformal boundaries [127,128] and the modular bootstrap of the torus partition function [33,129]. To construct analytic functionals for the annulus partition function, we will closely follow the strategy of [33].…”

Section: Analytic Functionalsmentioning

confidence: 99%

Bootstrapping Boundaries and Branes

Collier¹,

Mazáč²,

Wang³

2021

Preprint

View full text Add to dashboard Cite

The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory. Nevertheless, the landscape of conformal boundaries is largely unknown, including in rational CFTs, where the local operator data is completely determined. We initiate a systematic bootstrap study of conformal boundaries in 2d CFTs by investigating the bootstrap equation that arises from the openclosed consistency condition of the annulus partition function with identical boundaries. We find that this deceivingly simple bootstrap equation, when combined with unitarity, leads to surprisingly strong constraints on admissible boundary states. In particular, we derive universal bounds on the tension (boundary entropy) of stable boundary conditions, which provide a rigorous diagnostic for potential D-brane decays. We also find unique solutions to the bootstrap problem of stable branes in a number of rational CFTs. Along the way, we observe a curious connection between the annulus bootstrap and the sphere packing problem, which is a natural extension of previous work on the modular bootstrap. We also derive bounds on the boundary entropy at large central charge. These potentially have implications for end-of-the-world branes in pure gravity on AdS 3 .

show abstract

Section: Analytic Functionalsmentioning

confidence: 99%

Bootstrapping Boundaries and Branes

Collier¹,

Mazáč²,

Wang³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In principle one should be able to translate the four-point functions results from [8] to the defect setup using the dictionary presented in [16]. This dictionary requires knowledge of four-point functions with unequal external operators, and although this case was not considered in [8], it appeared recently in [17].…”

Section: Discussionmentioning

confidence: 99%

“…In [16], this second inversion formula was shown to be equivalent to the original four-point function inversion formula [1], provided one identifies certain kinematical parameters between the two configurations. In principle, one could write a defect CFT dispersion relation that reconstructs the correlator starting from dDisc F , but we expect this to be equal to the dispersion relation in [8,17] with suitable identification of the parameters.…”

Section: Introductionmentioning

confidence: 99%

A dispersion relation for defect CFT

Barrat¹,

Liendo²

2022

Preprint

View full text Add to dashboard Cite

We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap calculations, bypassing the resummation of conformal blocks. As applications we reproduce known results for monodromy defects in the epsilon-expansion, and present new results for the supersymmetric Wilson line at strong coupling in N = 4 SYM. In particular, we derive a new analytic formula for the highest R-symmetry channel of single-trace operators of arbitrary length.

show abstract

“…1) and do not have definite signs. These hurdles are overcome by the recently introduced dispersive CFT functionals [38][39][40][41], which decouple the double-traces; planar correlators are reconstructed from single-trace data only [42]. This work constitutes the first systematic application of dispersive functionals to a numerical bootstrap problem.…”

Section: Introductionmentioning

confidence: 99%

Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability

Caron-Huot¹,

Coronado²,

Trinh³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

How much spectral information is needed to determine the correlation functions of a conformal theory? We study this question in the context of planar supersymmetric Yang-Mills theory, where integrability techniques accurately determine the single-trace spectrum at finite 't Hooft coupling. Corresponding OPE coefficients are constrained by dispersive sum rules, which implement crossing symmetry. Focusing on correlators of four stress-tensor multiplets, we construct combinations of sum rules which determine one-loop correlators, and we study a numerical bootstrap problem that nonperturbatively bounds planar OPE coefficients. We observe interesting cusps at the location of physical operators, and we obtain a nontrivial upper bound on the OPE coefficient of the Konishi operator outside the perturbative regime.

show abstract

Mixed correlator dispersive CFT sum rules

Cited by 10 publications

References 54 publications

Bootstrapping Boundaries and Branes

Bootstrapping Boundaries and Branes

A dispersion relation for defect CFT

Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability

Contact Info

Product

Resources

About