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M. F. Paulos and B. Zan, A functional approach to the numerical conformal bootstrap , JHEP 09
Original
1904
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Original
1905
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1905
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D. Ponomarev, From bulk loops to boundary large-N expansion , JHEP 01
Original
1908
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W. Landry and D. Simmons-Duffin, Scaling the semidefinite program solver SDPB , 1909.09745
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1909
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L. Córdova, Y. He, M. Kruczenski and P. Vieira, The O(N) S-matrix Monolith , JHEP 04
Original
1909
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D. Carmi, Loops in AdS: from the spectral representation to position space , JHEP 06
Original
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2021

Towards Bootstrapping RG flows: Sine-Gordon in AdS

Antunes, António, Costa, Miguel S., Penedones, João et al.

Understand

The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow.

Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow.
In this paper we carry out this analysis for the sine-Gordon RG flows in AdS$_2$, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds.
We numerically analyze the correlation functions of both breathers and kinks and provide a detailed comparison with perturbation theory near the UV fixed point.