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High-dimensional non-Abelian holonomy in integrated photonics [PDF]
Nature CommunicationsNon-Abelian holonomy is known for the robust holonomic unitary behavior exhibited. The associated non-Abelian geometric phase is a promising approach for implementing topologically protected computation.
Youlve Chen +11 more
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Reconfigurable non-Abelian integrated photonics [PDF]
Nature CommunicationsCurrent integrated photonics typically utilizes the dynamical phase associated resonant on-chip components, leading to bandwidth-limited devices with perturbation-sensitive performance.
Shijie Sun +5 more
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The single copy of the gravitational holonomy
Journal of High Energy Physics, 2021 The double copy is a well-established relationship between gravity and gauge theories. It relates perturbative scattering amplitudes as well as classical solutions, and recently there has been mounting evidence that it also applies to non-perturbative ...
Rashid Alawadhi +3 more
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On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization ...
Jean-Pierre Magnot
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Conundrum for the free energy of a holonomous gluonic plasma at cubic order
Physics Letters B, 2020 We compute the term ∼g3 in the free energy for a SU(N) gauge theory with nonzero holonomy at nonzero temperature. If the holonomy is generated kinematically by the introduction of gauge invariant sources coupled to Polyakov loops, the contribution of ...
Christiaan P. Korthals Altes +3 more
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Special holonomy manifolds, domain walls, intersecting branes and T-folds
Journal of High Energy Physics, 2020 We discuss the special holonomy metrics of Gibbons, Lu, Pope and Stelle, which were constructed as nilmanifold bundles over a line by uplifting supersymmetric domain wall solutions of supergravity to 11 dimensions.
N. Chaemjumrus, C.M. Hull
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On transversely holomorphic foliations with homogeneous transverse structure
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In this paper we study transversely holomorphic foliations of complex codimension one with a transversely homogeneous complex transverse structure. We prove that the only cases are the transversely additive, affine and projective cases. We shall focus on
Bruno Cesar Azevedo Scardua +1 more
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New G 2-conifolds in M-theory and their field theory interpretation
Journal of High Energy Physics, 2021 A recent theorem of Foscolo-Haskins-Nordström [1] which constructs complete G 2-holonomy orbifolds from circle bundles over Calabi-Yau cones can be utilised to construct and investigate a large class of generalisations of the M-theory flop transition. We
B. S. Acharya +3 more
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Resurgence in complex Chern-Simons theory at generic levels
Journal of High Energy Physics, 2023 In this note we study the resurgent structure of sl(2, ℂ) Chern-Simons state integral model on knot complements S 3\4 1 , S 3\5 2 with generic discrete level k ≥ 1 and with small boundary holonomy deformation.
Zhihao Duan, Jie Gu
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A Review of Active Mechanical Driving Principles of Spherical Robots
Robotics, 2012 Spherical robotics is an emerging research field due to a ball’s characteristic to be holonomic, have a sealed internal environment, and rebound from collisions easily. As the research moves forward, individual groups have begun to develop unique methods
Richard Chase, Abhilash Pandya
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