Defects for discrete symmetries encoded in bordism groups Ω^ξ_2(BG) and H_2(BG;Z) are described as brane networks rather than isolated objects, extending the Cobordism Conjecture and demonstrated in 4d supergravity from string/M-theory.
M-theory on Manifolds of G_2 Holonomy and Type IIA Orientifolds
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abstract
We demonstrate that M-theory compactifications on 7-manifolds of G_2 holonomy, which yield 4d N=1 supersymmetric systems, often admit at special loci in their moduli space a description as type IIA orientifolds. In this way, we are able to find new dualities of special IIA orientifolds, including dualities which relate orientifolds of IIA strings on manifolds of different topology with different numbers of wrapped D-branes. We also discuss models which incorporate, in a natural way, compact embeddings of gauge theory/gravity dualities similar to those studied in the recent work of Atiyah, Maldacena and Vafa.
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Quantum corrections obstruct infinite distance limits in Type IIA orientifold Kähler moduli unless other moduli are also taken to infinity, as shown by worldsheet EFT strings, massless towers, and M-theory G2 uplifts.
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A missing link: Brane networks and the Cobordism Conjecture
Defects for discrete symmetries encoded in bordism groups Ω^ξ_2(BG) and H_2(BG;Z) are described as brane networks rather than isolated objects, extending the Cobordism Conjecture and demonstrated in 4d supergravity from string/M-theory.
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On Quantum Obstructions in Type IIA Orientifolds
Quantum corrections obstruct infinite distance limits in Type IIA orientifold Kähler moduli unless other moduli are also taken to infinity, as shown by worldsheet EFT strings, massless towers, and M-theory G2 uplifts.