End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions

Abstract We consider 4d N $$ \mathcal{N} $$ = 4 SU(N) super Yang-Mills on half-space with boundary conditions defined by configurations of Gaiotto-Witten NS5- and D5-branes modded out by a rotated orientifold 5-plane breaking an extra half of the supersymmetries. We focus on configurations in which...

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Main Authors: Jesús Huertas, Angel M. Uranga
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP01(2025)002
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author Jesús Huertas
Angel M. Uranga
author_facet Jesús Huertas
Angel M. Uranga
author_sort Jesús Huertas
collection DOAJ
description Abstract We consider 4d N $$ \mathcal{N} $$ = 4 SU(N) super Yang-Mills on half-space with boundary conditions defined by configurations of Gaiotto-Witten NS5- and D5-branes modded out by a rotated orientifold 5-plane breaking an extra half of the supersymmetries. We focus on configurations in which this O5’-brane is split by an NS5-brane into two oppositely charged halves, leading to a breaking of supersymmetry down to 3d N $$ \mathcal{N} $$ = 2 at the local level. The 5-brane configurations turn into non-trivial (p, q) webs and lead to non-trivial brane and gauge theory phenomena, including a 5d Z 2 global gauge anomaly cancelled by a novel 6d global anomaly inflow, and the appearance of localized 3d N $$ \mathcal{N} $$ = 2 Chern-Simons couplings and the 3d parity anomaly at the boundary of the 4d theory. The systems have explicit gravity duals, given by orientifolds of the AdS4 × S 2 × S 2 fibrations over a Riemann surface dual to the Gaiotto-Witten setups. They describe solutions with an asymptotic AdS5 × S 5 terminating at AdS4 End of the World boundary configurations, whose rich dynamics reproduces the above physical properties. They also provide the SymTFT of the 4d N $$ \mathcal{N} $$ = 4 on half-space with a new class of boundary conditions. We explore the interplay of bulk and boundary topological couplings and draw general lessons for the classification of cobordism defects of bulk quantum gravity theories in the swampland program.
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spelling doaj-art-6e81ce1378b64aa583c75ac4bfaf98872025-01-19T12:07:23ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114810.1007/JHEP01(2025)002End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditionsJesús Huertas0Angel M. Uranga1Instituto de Física Teórica IFT-UAM/CSICInstituto de Física Teórica IFT-UAM/CSICAbstract We consider 4d N $$ \mathcal{N} $$ = 4 SU(N) super Yang-Mills on half-space with boundary conditions defined by configurations of Gaiotto-Witten NS5- and D5-branes modded out by a rotated orientifold 5-plane breaking an extra half of the supersymmetries. We focus on configurations in which this O5’-brane is split by an NS5-brane into two oppositely charged halves, leading to a breaking of supersymmetry down to 3d N $$ \mathcal{N} $$ = 2 at the local level. The 5-brane configurations turn into non-trivial (p, q) webs and lead to non-trivial brane and gauge theory phenomena, including a 5d Z 2 global gauge anomaly cancelled by a novel 6d global anomaly inflow, and the appearance of localized 3d N $$ \mathcal{N} $$ = 2 Chern-Simons couplings and the 3d parity anomaly at the boundary of the 4d theory. The systems have explicit gravity duals, given by orientifolds of the AdS4 × S 2 × S 2 fibrations over a Riemann surface dual to the Gaiotto-Witten setups. They describe solutions with an asymptotic AdS5 × S 5 terminating at AdS4 End of the World boundary configurations, whose rich dynamics reproduces the above physical properties. They also provide the SymTFT of the 4d N $$ \mathcal{N} $$ = 4 on half-space with a new class of boundary conditions. We explore the interplay of bulk and boundary topological couplings and draw general lessons for the classification of cobordism defects of bulk quantum gravity theories in the swampland program.https://doi.org/10.1007/JHEP01(2025)002Brane Dynamics in Gauge TheoriesString and Brane PhenomenologyAdS-CFT CorrespondenceAnomalies in Field and String Theories
spellingShingle Jesús Huertas
Angel M. Uranga
End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions
Journal of High Energy Physics
Brane Dynamics in Gauge Theories
String and Brane Phenomenology
AdS-CFT Correspondence
Anomalies in Field and String Theories
title End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions
title_full End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions
title_fullStr End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions
title_full_unstemmed End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions
title_short End of the world brane dynamics in holographic 4d N $$ \mathcal{N} $$ = 4 SU(N) with 3d N $$ \mathcal{N} $$ = 2 boundary conditions
title_sort end of the world brane dynamics in holographic 4d n mathcal n 4 su n with 3d n mathcal n 2 boundary conditions
topic Brane Dynamics in Gauge Theories
String and Brane Phenomenology
AdS-CFT Correspondence
Anomalies in Field and String Theories
url https://doi.org/10.1007/JHEP01(2025)002
work_keys_str_mv AT jesushuertas endoftheworldbranedynamicsinholographic4dnmathcaln4sunwith3dnmathcaln2boundaryconditions
AT angelmuranga endoftheworldbranedynamicsinholographic4dnmathcaln4sunwith3dnmathcaln2boundaryconditions