Generalized complex marginal deformation of pp-waves and giant gravitons

Abstract We propose that a certain 4d$$ \mathcal{N} $$ N = 1 SU(2) × SU(2) gauge theory flows in the IR to an $$ \mathcal{N} $$ N = 3 SCFT plus a single free chiral field. The specific $$ \mathcal{N} $$ N = 3 SCFT has rank 1 and a dimension three Coulomb branch operator. The flow is generically expected to land at the $$ \mathcal{N} $$ N = 3 SCFT deformed by the marginal deformation associated with said Coulomb branch operator. We also present a discussion about the properties expected of various RG invariant quantities from $$ \mathcal{N} $$ N = 3 superconformal symmetry, and use these to test our proposal. Finally, we discuss a generalization to another $$ \mathcal{N} $$ N = 1 model that we propose is related to a certain rank 3 $$ \mathcal{N} $$ N = 3 SCFT through the turning of certain marginal deformations.

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Invariant generalized complex geometry on maximal flag manifolds and their moduli

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2021.104108 ◽

2021 ◽

pp. 104108

Author(s):

Elizabeth Gasparim ◽

Fabricio Valencia ◽

Carlos Varea

Keyword(s):

Complex Geometry ◽

Flag Manifolds ◽

Generalized Complex

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Generalized almost even-Clifford manifolds and their twistor spaces

Complex Manifolds ◽

10.1515/coma-2020-0108 ◽

2021 ◽

Vol 8 (1) ◽

pp. 96-124

Author(s):

Luis Fernando Hernández-Moguel ◽

Rafael Herrera

Keyword(s):

Twistor Space ◽

Complex Structure ◽

Twistor Spaces ◽

Recent Interest ◽

Generalized Complex Structure ◽

Generalized Complex ◽

Space Construction ◽

Clifford Structures

Abstract Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on even-Clifford manifolds to this setting and show that such a twistor space admits a generalized complex structure under certain conditions.

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