Exploring Pintopia: Reflection Branes, Bordisms, and U-Dualities
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arXiv
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| Format: | Preprint |
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2025
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| author | Chakrabhavi, Vivek Debray, Arun Dierigl, Markus Heckman, Jonathan J. |
| author_facet | Chakrabhavi, Vivek Debray, Arun Dierigl, Markus Heckman, Jonathan J. |
| contents | The U-dualities of maximally supersymmetric non-chiral supergravity (SUGRA) theories lead to strong constraints on the non-perturbative structure of quantum gravity. In this paper we determine Spin- and Pin-lifts of these dualities, which extend this action to fermionic degrees of freedom. Among other things, this allows us to access non-supersymmetric sectors of these low energy effective field theories in which bosonic and fermionic degrees of freedom are treated differently. We use this refinement of the duality groups, in tandem with the Swampland Cobordism Conjecture, to predict new codimension-two branes. These are a natural generalization of the recently discovered R7-branes of type II string theories. The first bordism groups for Spin-twisted duality bundles follow directly from the Abelianization of the duality groups. Viewing the SUGRA theory as the low energy limit of a toroidal compactification of M-theory, winding around these codimension-two defects enacts a reflection around one of the torus directions, which in the effective field theory appears as a charge conjugation symmetry. We establish some basic properties of such branes, including determining BPS objects which can end on it, as well as braiding rules and bound states realized by multiple reflection branes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03573 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring Pintopia: Reflection Branes, Bordisms, and U-Dualities Chakrabhavi, Vivek Debray, Arun Dierigl, Markus Heckman, Jonathan J. High Energy Physics - Theory General Relativity and Quantum Cosmology Representation Theory The U-dualities of maximally supersymmetric non-chiral supergravity (SUGRA) theories lead to strong constraints on the non-perturbative structure of quantum gravity. In this paper we determine Spin- and Pin-lifts of these dualities, which extend this action to fermionic degrees of freedom. Among other things, this allows us to access non-supersymmetric sectors of these low energy effective field theories in which bosonic and fermionic degrees of freedom are treated differently. We use this refinement of the duality groups, in tandem with the Swampland Cobordism Conjecture, to predict new codimension-two branes. These are a natural generalization of the recently discovered R7-branes of type II string theories. The first bordism groups for Spin-twisted duality bundles follow directly from the Abelianization of the duality groups. Viewing the SUGRA theory as the low energy limit of a toroidal compactification of M-theory, winding around these codimension-two defects enacts a reflection around one of the torus directions, which in the effective field theory appears as a charge conjugation symmetry. We establish some basic properties of such branes, including determining BPS objects which can end on it, as well as braiding rules and bound states realized by multiple reflection branes. |
| title | Exploring Pintopia: Reflection Branes, Bordisms, and U-Dualities |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Representation Theory |
| url | https://arxiv.org/abs/2509.03573 |