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Montero, Miguel

Publications and source records attributed to Montero, Miguel.

Fate of stringy noninvertible symmetries

Noninvertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible gauge symmetries. One may ask: are there any other types of noninvertible gauge symmetries? In theories with gravity we find a new form of noninvertible gauge symmetry that emerges in the limit of fundamental, tensionless strings. These stringy noninvertible gauge symmetries appear in standard examples such as non-Abelian orbifolds. Moving away from the tensionless limit always breaks these symmetries. We also find that both the conventional form of noninvertible gauge symmetries and these stringy generalizations are realized in AdS/CFT. Although generically broken, approximate noninvertible symmetries have implications for swampland constraints: in certain cases they can be used to prove the existence of towers of states related to the distance conjecture, and can sometimes explain the existence of slightly subextremal states which fill in the gaps in the sublattice weak gravity conjecture.

conformal field theory↗

R7-branes as charge conjugation operators

R7-branes are a class of recently discovered nonsupersymmetric real codimension-two duality defects in type IIB string theory predicted by the swampland cobordism conjecture. For type IIB realizations of 6D SCFTs with N = ( 2 , 0 ) supersymmetry, wrapping an R7-brane “at infinity” leads to a topological operator associated with a zero-form charge conjugation symmetry that squares to the identity. Similar considerations hold for those theories obtained from further toroidal compactification, but this can be obstructed by bundle curvature effects. Using some minimal data on the topological sector of the R7-branes, we extract the associated fusion rules for these charge conjugation operators. More broadly, we sketch a top down realization of various topological operators/interfaces associated with C , R , and T transformations. We also use holography to provide strong evidence for the existence of the R7-brane which is complementary to the cobordism conjecture. Similar considerations apply to other string-realized QFTs with symmetry operators constructed via nonsupersymmetric branes which carry a conserved charge. Published by the American Physical Society 2024

Astronomy & Astrophysics↗

Geometry and Strings 2023

The proposal details plans for an upcoming meeting as part of the annual Geometry and Strings conference series. This series was formerly known as the ``F-theory'' conference series and has since broadened to include more general approaches to high energy physics centered on geometry, quantum field theory and string theory. The University of Pennsylvania has agreed to host the 2023 installment of the conference, which will take place on the UPenn campus in March 2023. The main thrust of the activities will center on several interconnected areas within the subject, including: The Swampland Program in quantum gravity and its geometric manifestations. The Geometric Engineering Program in string theory and its application to numerous question in quantum field theory. The Generalized Symmetries Program in quantum field theory and string theory. The Machine Learning Program aimed at understanding the large number of vacua present in string theory. The conference will adhere to a code of conduct aimed at making the event accessible to all participants. Additionally, particular attention will be paid to having a balanced mix of junior, mid-level and senior speakers from diverse backgrounds.

Lust, Dieter↗