108 citations · 997 across the 42 of their papers we have counts for
14 papers · 1 filter
Eisenhart lifts and symmetries of time-dependent systems
M. Cariglia, C. Duval, G. W. Gibbons +1
Certain dissipative systems, such as Caldirola and Kannai's damped simple harmonic oscillator, may be modelled by time-dependent Lagrangian and hence time dependent Hamiltonian sys…
Killing tensors and canonical geometry
M. Cariglia, G. W. Gibbons, J. -W. van Holten +3
The systematic derivation of constants of the motion, based on Killing tensors and the gauge covariant approach, is outlined. Quantum dots are shown to support second-, third- and…
Hidden Symmetries and Integrability in Higher Dimensional Rotating Black Hole Spacetimes
Marco Cariglia, Pavel Krtous, David Kubiznak
This is a short pedagogical introduction to the subject of Killing-Stackel and Killing-Yano tensors and their role in the integrability of various types of equations that are of ph…
On Integrability of spinning particle motion in higher-dimensional black hole spacetimes
David Kubiznak, Marco Cariglia
We study the motion of a classical spinning particle (with spin degrees of freedom described by a vector of Grassmann variables) in higher-dimensional general rotating black hole s…
Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization of Separability in All Dimensions
Marco Cariglia, Pavel Krtous, David Kubiznak
We intrinsically characterize separability of the Dirac equation in Kerr-NUT-(A)dS spacetimes in all dimensions. Namely, we explicitly demonstrate that in such spacetimes there exi…
Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets
Marco Cariglia, Pavel Krtous, David Kubiznak
In this paper we derive the most general first-order symmetry operator commuting with the Dirac operator in all dimensions and signatures. Such an operator splits into Clifford eve…
Classification of supersymmetric spacetimes in eleven dimensions
Marco Cariglia, Oisin A. P. Mac Conamhna
We derive, for spacetimes admitting a Spin(7) structure, the general local bosonic solution of the Killing spinor equation of eleven dimensional supergravity. The metric, four form…
Null structure groups in eleven dimensions
Marco Cariglia, Oisin A. P. Mac Conamhna
We classify all the structure groups which arise as subgroups of the isotropy group, , of a single null Killing spinor in eleven dimen…
Timelike Killing spinors in seven dimensions
Marco Cariglia, Oisin A. P. Mac Conamhna
We employ the G-structure formalism to study supersymmetric solutions of minimal and SU(2) gauged supergravities in seven dimensions admitting Killing spinors with associated timel…
Intersecting D-branes, Chern-kernels and the inflow mechanism
Marco Cariglia, Kurt Lechner
We analyse a system of arbitrarily intersecting D-branes in ten-dimensional supergravity. Chiral anomalies are supported on the intersection branes, called I-branes. For non-transv…
The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
Marco Cariglia, Oisin A. P. Mac Conamhna
We obtain necessary and sufficient conditions for a supersymmetric field configuration in the N=(1,0) U(1) or SU(2) gauged supergravities in six dimensions, and impose the field eq…
Non-Abelian pp-waves in D=4 supergravity theories
M. Cariglia, G. W. Gibbons, R. Guven +1
The non-Abelian plane waves, first found in flat spacetime by Coleman and subsequently generalized to give pp-waves in Einstein-Yang-Mills theory, are shown to be 1/2 supersymmetri…
Quantum Mechanics of Yano tensors: Dirac equation in curved spacetime
Marco Cariglia
In spacetimes admitting Yano tensors the classical theory of the spinning particle possesses enhanced worldline supersymmetry. Quantum mechanically generators of extra supersymmetr…
NS5-branes in IIA supergravity and gravitational anomalies
Marco Cariglia, Kurt Lechner
We construct a gravitational-anomaly-free effective action for the coupled system of IIA D=10 dynamical supergravity interacting with an NS5-brane. The NS5-brane is considered as e…