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Hauptverfasser: Macpherson, Niall T., Stuardo, Ricardo
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2511.02835
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author Macpherson, Niall T.
Stuardo, Ricardo
author_facet Macpherson, Niall T.
Stuardo, Ricardo
contents Bi-spinor and G-structure methods are used to classify the possible consistent truncations of type II supergravity to $d=6$ Einstein-Maxwell (gauged) supergravity, and its consistent sub-sectors. In the absence of R-symmetry gauging and a tensor multiplet we establish that every supersymmetric Mink$_6$ solution defines an embedding of the $d=6$ theory. Adding a tensor multiplet places restrictions on these embeddings, but embeddings still exist. In the presence of R-symmetry gauging the internal spaces of the embeddings are neither related to Mink$_6$ or AdS$_6$. Under the assumption that the internal space contains a single U(1) isometry housing the $d=6$ gauge field we classify the possible embedding manifolds. We find two classes of embedding for the entire theory, one of which is governed by a Toda-like equation and contains at least one bounded embedding. In the absence of a tensor multiple the classes of embeddings become more permissive, though the PDEs governing them become more complicated in general.
format Preprint
id arxiv_https___arxiv_org_abs_2511_02835
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Type II embeddings for $d=6$ Einstein-Maxwell gauged supergravity
Macpherson, Niall T.
Stuardo, Ricardo
High Energy Physics - Theory
Bi-spinor and G-structure methods are used to classify the possible consistent truncations of type II supergravity to $d=6$ Einstein-Maxwell (gauged) supergravity, and its consistent sub-sectors. In the absence of R-symmetry gauging and a tensor multiplet we establish that every supersymmetric Mink$_6$ solution defines an embedding of the $d=6$ theory. Adding a tensor multiplet places restrictions on these embeddings, but embeddings still exist. In the presence of R-symmetry gauging the internal spaces of the embeddings are neither related to Mink$_6$ or AdS$_6$. Under the assumption that the internal space contains a single U(1) isometry housing the $d=6$ gauge field we classify the possible embedding manifolds. We find two classes of embedding for the entire theory, one of which is governed by a Toda-like equation and contains at least one bounded embedding. In the absence of a tensor multiple the classes of embeddings become more permissive, though the PDEs governing them become more complicated in general.
title Type II embeddings for $d=6$ Einstein-Maxwell gauged supergravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.02835