Results 21 to 30 of about 130 (112)
BPS states meet generalized cohomology
Journal of High Energy Physics, 2023 In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory E G ∗ − $$ {E}_G^{\ast ...
Dmitry Galakhov
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Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds [PDF]
Complex Analysis and Operator Theory, 2021 AbstractIn this paper we relate the cohomology ofJ-invariant forms to the Dolbeault cohomology of an almost complex manifold. We find necessary and sufficient condition for the inclusion of the former into the latter to be true up to isomorphism. We also extend some results obtained by J. Cirici and S. O.
Sillari L., Tomassini A.
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An Integral Operator into Dolbeault Cohomology
Journal of Functional Analysis, 1996 The authors present a construction for an integral transform from sections of a vector bundle over a given manifold into Dolbeault cohomology of a related holomorphic vector bundle over another manifold. If \(Y @> \rho>> X\), \(Y @>\pi>> Z\) is a double fibration of smooth manifolds with \(Z\) having a complex structure, then the integral transform \({\
Barchini, L. +2 more
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On the $L^2$-Dolbeault cohomology of annuli [PDF]
Indiana University Mathematics Journal, 2018 Small typos corrected; Final Version; To appear in Indiana University Mathematics ...
Chakrabarti, Debraj +2 more
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Fortschritte der Physik, Volume 71, Issue 6-7, July 2023., 2023 Abstract The b ghost, or b operator, used for fixing Siegel gauge in the pure spinor superfield formalism, is a composite operator of negative ghost number, satisfying {q,b}=□$\lbrace q,b\rbrace =\square$, where q is the pure spinor differential (BRST operator). It is traditionally constructed using non‐minimal variables.
Martin Cederwall
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Sasaki structures distinguished by their basic Hodge numbers
Bulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1962-1977, October 2022., 2022 Abstract In all odd dimensions at least 5 we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension 5 we prove more precise results, for example, we show that on connected sums of copies of S2×S3$S^2\times S^3$ the number of Sasaki structures with different basic Hodge numbers within a fixed ...
D. Kotschick, G. Placini
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On Dolbeault cohomology and envelopes of holomorphy
Mathematische Annalen, 1978 exaly +2 more sources
FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS
Фізико-математична освіта, 2022 Formulation of the problem. Precision studies of the Higgs boson, supersymmetric particles, the magnetic moment of the muon, electric dipole moment of the electron, flavor anomalies demonstrate the deviation beyond Standard Model. They are connected with
Тетяна Обіход
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Journal of the London Mathematical Society, Volume 106, Issue 2, Page 590-661, September 2022., 2022 Abstract Given a generic stable strongly parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundle (E,φ)$({\mathcal {E}}, \varphi )$, we describe the family of harmonic metrics ht$h_t$ for the ray of Higgs bundles (E,tφ)$({\mathcal {E}}, t \varphi )$ for t≫0$t\gg 0$ by perturbing from an explicitly constructed family of approximate solutions ...
Laura Fredrickson +3 more
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Height pairing on higher cycles and mixed Hodge structures
Proceedings of the London Mathematical Society, Volume 125, Issue 1, Page 61-170, July 2022., 2022 Abstract For a smooth, projective complex variety, we introduce several mixed Hodge structures associated to higher algebraic cycles. Most notably, we introduce a mixed Hodge structure for a pair of higher cycles which are in the refined normalized complex and intersect properly. In a special case, this mixed Hodge structure is an oriented biextension,
Jose Ignacio Burgos Gil +2 more
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