Multiplet Recombination and the CFT Distance Conjecture

Fuente: arXiv
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Main Authors: Mantegazza, Fabio, Marchetto, Enrico, Pomoni, Elli, Skrzypek, Torben, Weigand, Timo
Format: Preprint
Published: 2026
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author Mantegazza, Fabio
Marchetto, Enrico
Pomoni, Elli
Skrzypek, Torben
Weigand, Timo
author_facet Mantegazza, Fabio
Marchetto, Enrico
Pomoni, Elli
Skrzypek, Torben
Weigand, Timo
contents Motivated by quantum gravity and the CFT Distance Conjecture, we study infinite-distance limits in four-dimensional ${\cal N}=2$ superconformal field theories with higher-dimensional conformal manifolds and their AdS duals. We focus on partial decoupling limits where a gauge sector becomes weakly coupled while an interacting sector persists. We analyse the structure of towers of states emerging in these limits. The weakly coupled sector contributes, among others, the massless higher-spin tower predicted by the CFT Distance Conjecture exhibiting polynomial degeneracy. The key novelty is the appearance of a protected BPS tower in the interacting sector, characterised by exponential degeneracy and masses at the AdS scale. This structure follows from multiplet recombination in the ${\cal N}=2$ superconformal algebra: As unprotected long multiplets hit the unitarity bound at weak coupling, they recombine into protected short multiplets. We verify this picture through an explicit one-loop computation in the simplest two-node quiver gauge theory with a two-dimensional conformal manifold.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02304
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Multiplet Recombination and the CFT Distance Conjecture
Mantegazza, Fabio
Marchetto, Enrico
Pomoni, Elli
Skrzypek, Torben
Weigand, Timo
High Energy Physics - Theory
Motivated by quantum gravity and the CFT Distance Conjecture, we study infinite-distance limits in four-dimensional ${\cal N}=2$ superconformal field theories with higher-dimensional conformal manifolds and their AdS duals. We focus on partial decoupling limits where a gauge sector becomes weakly coupled while an interacting sector persists. We analyse the structure of towers of states emerging in these limits. The weakly coupled sector contributes, among others, the massless higher-spin tower predicted by the CFT Distance Conjecture exhibiting polynomial degeneracy. The key novelty is the appearance of a protected BPS tower in the interacting sector, characterised by exponential degeneracy and masses at the AdS scale. This structure follows from multiplet recombination in the ${\cal N}=2$ superconformal algebra: As unprotected long multiplets hit the unitarity bound at weak coupling, they recombine into protected short multiplets. We verify this picture through an explicit one-loop computation in the simplest two-node quiver gauge theory with a two-dimensional conformal manifold.
title Multiplet Recombination and the CFT Distance Conjecture
topic High Energy Physics - Theory
url https://arxiv.org/abs/2603.02304