arXiv subjects

Martin Pico

Publications and source records attributed to Martin Pico.

5 recordsLinked to original sources

arXiv2026

Kaluza-Klein trombone mass matrices and universal class $\mathcal{R}$ operator spectra

We determine universal sectors of the light operator spectrum that are present in all A$_{N-1}$ superconformal field theories $T_N[\Sigma_3]$ of class $\mathcal{R}$, with $\Sigma_3$ a compact hyperbolic three-manifold. We do this at large $N$ by holographically mapping the problem to a Kaluza-Klein spectral analysis over previously known dual anti-de Sitter backgrounds related to wrapped M5-brane configurations. Associated to these, $D=4$ $\mathcal{N}=8$ supergravities have been recently constructed that allow for the application of spectral techniques based on exceptional generalised geometry/field theory. We derive the Kaluza-Klein mass matrices that arise when the seed lower-dimensional maximal supergravity involves gaugings of the trombone scaling symmetry, as pertains to the case at hand, and diagonalise them to find the universal Kaluza-Klein states. In general, these universal spectra are only defined locally, and we give a prescription to isolate globally-defined sectors therein.

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arXiv2026

Maximal trombone supergravity from wrapped M5-branes

A new family of maximal supergravities in four dimensions, involving gaugings of the trombone scaling symmetry, has been recently introduced. Using exceptional generalised geometry, we show some supergravities in this class to arise by consistent truncation of $D=11$ supergravity. The seven-dimensional reduction manifold is locally equivalent to the topologically-twisted internal manifold of the AdS$_4$ geometries that arise near the horizon of M5-branes wrapped on supersymmetric three-cycles of special holonomy manifolds. The dimensional reduction involves a mixture of conventional and generalised Scherk-Schwarz prescriptions, and provides the first maximally supersymmetric consistent truncation to four dimensions in the context of the M5-brane.

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arXiv2025

Consistent Truncations and Generalised Geometry: Scanning through Dimensions and Supersymmetry

We study consistent truncations in the framework of Exceptional Generalised Geometry. We classify the 4-dimensional gauged supergravities that can be obtained as a consistent truncation of 10/11-dimensional supergravity. Any truncation is associated to a (generalised) $G_S$-structure with singlet intrinsic torsion. We give the full classification for all truncations associated to continuous structure groups and we discuss a few examples with discrete ones. We recover gauged supergravities corresponding to known truncations as well as others for which explicit truncations are still to be constructed. We also summarise similar results obtained in the literature for truncations to $d=5,6,7$ dimensions and we complete them, when needed.

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arXiv2025

Consistent subsectors of maximal supergravity and wrapped M5-branes

A new family of $D=4$ $\mathcal{N}=8$ gauged supergravities is introduced, consisting in a mixture of Scherk-Schwarz and dyonic CSO gaugings that involves the trombone scaling symmetry. A specific theory in this class is shown to admit supersymmetric anti-de Sitter vacua, argued to be related to various wrapped M5-brane configurations. The mass spectrum of these vacua within our maximal theory is computed, extending previous results in smaller gauged supergravity models, and shown to exhibit some exotic features due to the trombone gauging. These vacua are obtained as solutions of certain subsectors of our $\mathcal{N}=8$ supergravity. Such subsectors in turn arise by consistent truncation of the parent maximal supergravity to the invariant fields under specific groups that are not contained in the $\mathcal{N}=8$ gauge group. Prompted by these and other similar subtruncations recently considered, we formalise sufficient conditions that allow any maximal supergravity to be truncated consistently to invariant subsectors thereof when the invariance group is not necessarily contained in the $\mathcal{N}=8$ gauge group.

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arXiv2024

Infinite and finite consistent truncations on deformed generalised parallelisations

Given a manifold $\mathbb{M}$ admitting a maximally supersymmetric consistent truncation, we show how to formulate new consistent truncations by restricting to a set of Kaluza-Klein modes on $\mathbb{M}$ invariant under some subgroup of the group of isometries of $\mathbb{M}$. These truncations may involve either finite or infinite sets of modes. We provide their global description using exceptional generalised geometry to construct a `deformed' generalised parallelisation starting with that on $\mathbb{M}$. This allows us to explicitly embed known consistent truncations directly into exceptional generalised geometry/exceptional field theory, and to obtain the equations governing situations where the consistent truncation retains an infinite tower of modes.

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