Topics on the geometry of D-brane charges and Ramond-Ramond fields

Ruffino, Fabio Ferrari

doi:10.1088/1126-6708/2009/11/012

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…The relation between the reduced and non-reduced K-homology groups is K 0 (Y 5 ) = Z ⊕K 0 (Y 5 ) (see for instance eq. (1.5) in [73]), so K 0 (Y 5 ) = Z ⊕K 0 (Y 5 ). Note also that Y 5 admits a Spin structure (since its normal bundle in the Calabi-Yau cone X 6 is trivial, and X 6 is Spin), and in particular a Spin c structure, or in other words it is K-orientable.…”

Section: Jhep10(2020)056mentioning

confidence: 99%

Higher form symmetries of Argyres-Douglas theories

Zotto

García-Etxebarria

Hosseini

2020

J. High Energ. Phys.

120

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We determine the structure of 1-form symmetries for all 4d $$ \mathcal{N} $$ N = 2 theories that have a geometric engineering in terms of type IIB string theory on isolated hypersurface singularities. This is a large class of models, that includes Argyres-Douglas theories and many others. Despite the lack of known gauge theory descriptions for most such theories, we find that the spectrum of 1-form symmetries can be obtained via a careful analysis of the non-commutative behaviour of RR fluxes at infinity in the IIB setup. The final result admits a very compact field theoretical reformulation in terms of the BPS quiver. We illustrate our methods in detail in the case of the ($$ \mathfrak{g},{\mathfrak{g}}^{\prime } $$ g , g ′ ) Argyres-Douglas theories found by Cecotti-Neitzke-Vafa. In those cases where $$ \mathcal{N} $$ N = 1 gauge theory descriptions have been proposed for theories within this class, we find agreement between the 1-form symmetries of such $$ \mathcal{N} $$ N = 1 Lagrangian flows and those of the actual Argyres-Douglas fixed points, thus giving a consistency check for these proposals.

show abstract

Section: Jhep10(2020)056mentioning

confidence: 99%

Higher form symmetries of Argyres-Douglas theories

Zotto

García-Etxebarria

Hosseini

2020

J. High Energ. Phys.

120

View full text Add to dashboard Cite

show abstract

“…The relation between the reduced and non-reduced K-homology groups is K 0 (Y 5 ) = Z ⊕ K0 (Y 5 ) (see for instance eq. (1.5) in [73]), so K 0 (Y 5 ) = Z ⊕ K0 (Y 5 ). Note also that Y 5 admits a Spin structure (since its normal bundle in the Calabi-Yau cone X 6 is trivial, and X 6 is Spin), and in particular a Spin c structure, or in other words it is K-orientable.…”

Section: A K-theory Groups For the Boundary Of Isolated Threefold Sin...mentioning

confidence: 99%

Higher Form Symmetries of Argyres-Douglas Theories

Del Zotto,

Etxebarria,

Hosseini

2020

Preprint

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We determine the structure of 1-form symmetries for all 4d N = 2 theories that have a geometric engineering in terms of type IIB string theory on isolated hypersurface singularities. This is a large class of models, that includes Argyres-Douglas theories and many others. Despite the lack of known gauge theory descriptions for most such theories, we find that the spectrum of 1-form symmetries can be obtained via a careful analysis of the non-commutative behaviour of RR fluxes at infinity in the IIB setup. The final result admits a very compact field theoretical reformulation in terms of the BPS quiver. We illustrate our methods in detail in the case of the (g, g ) Argyres-Douglas theories found by Cecotti-Neitzke-Vafa. In those cases where N = 1 gauge theory descriptions have been proposed for theories within this class, we find agreement between the 1-form symmetries of such N = 1 Lagrangian flows and those of the actual Argyres-Douglas fixed points, thus giving a consistency check for these proposals.

show abstract

Topics on the geometry of D-brane charges and Ramond-Ramond fields

Cited by 2 publications

References 9 publications

Higher form symmetries of Argyres-Douglas theories

Higher form symmetries of Argyres-Douglas theories

Higher Form Symmetries of Argyres-Douglas Theories

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