A5000313788- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Noncommutative and Quantum Gravity Theories
- Geometry and complex manifolds
- Geometric Analysis and Curvature Flows
- Nonlinear Waves and Solitons
- Particle physics theoretical and experimental studies
- SARS-CoV-2 and COVID-19 Research
- COVID-19 Clinical Research Studies
- Pulsars and Gravitational Waves Research
- Quantum Chromodynamics and Particle Interactions
- Algebraic structures and combinatorial models
- Quantum Electrodynamics and Casimir Effect
- Algebraic Geometry and Number Theory
- COVID-19 epidemiological studies
- Animal Virus Infections Studies
- Advanced Differential Geometry Research
- Law, logistics, and international trade
- Relativity and Gravitational Theory
- Homotopy and Cohomology in Algebraic Topology
- Electromagnetic Scattering and Analysis
- Galaxies: Formation, Evolution, Phenomena
- Astrophysical Phenomena and Observations
- Computational Physics and Python Applications
- Advanced Topics in Algebra
University of Oxford
2016-2025
St. Jude Children's Research Hospital
2021-2022
Mathematical Institute of the Slovak Academy of Sciences
2014-2020
Imperial College London
2004-2010
Centre for Environment Education
2010
London Institute for Mathematical Sciences
2010
Harvard University
2005-2009
Institute for Advanced Study
2008
Harvard University Press
2005
Perimeter Institute
2004
We present a countably infinite number of new explicit co-homogeneity one Sasaki-Einstein metrics on S 2 × 3 both quasi-regular and irregular type.These give rise to solutions type IIB supergravity which are expected be dual N = 1 superconformal field theories in four dimensions with compact or non-compact R-symmetry rational irrational central charges, respectively.
We analyse the most general supersymmetric solutions of D=11 supergravity consisting a warped product five-dimensional anti-de-Sitter space with six-dimensional Riemannian M_6, four-form flux on M_6. show that M_6 is partly specified by one-parameter family four-dimensional Kahler metrics. find large new explicit regular where compact, complex manifold which topologically two-sphere bundle over base, latter either (i) Kahler-Einstein positive curvature, or (ii) two constant-curvature Riemann...
We show that for every positive curvature Kähler-Einstein manifold in dimension 2n there is a countably infinite class of associated Sasaki-Einstein manifolds X 2n+3 + 3. When n = 1 we recover recently discovered family supersymmetric AdS 5 × solutions type IIB string theory, while when 2 obtain new 4 ×X 7 D 11 supergravity.Both are expected to provide supergravity duals superconformal field theories.
We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products five-dimensional anti-de Sitter space (AdS 5 ) with a Riemannian manifold M .All fluxes allowed to be non-vanishing consistent SO(4, 2) symmetry.We show that necessary and sufficient conditions can phrased in terms local identity structure on .For special class, constant dilaton vanishing axion, we reduce problem solving second order non-linear ODE.We find an exact solution...
We analyze the classical moduli spaces of supersymmetric vacua 3D $\mathcal{N}=2$ Chern-Simons quiver gauge theories. show quite generally that space theory always contains a baryonic branch parent 4D $\mathcal{N}=1$ theory, where is determined by vector levels. In particular, starting with dual to 3-fold singularity, for certain general choices levels this corresponding 4-fold singularity. Our results lead simple method, using existing techniques, constructing candidate superconformal...
A Sasaki-Einstein manifold is a Riemannian (S, g) that both Sasakian and Einstein.Sasakian geometry the odd-dimensional cousin of Kähler geometry.Indeed, just as natural intersection complex, symplectic, geometry, so CR, contact, geometry.Perhaps most straightforward definition following: if only its metric cone C(S) = R >0 × S, ḡ dr 2 + r g Kähler.In particular, has odd dimension 2n-1, where n complex cone.A Einstein Ric λg for some constant λ.It turns out can be λ 2(n -1), positive Ricci...
We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on U(1)×U(1)-invariant squashed three-sphere, with non-trivial background field. This is described by solution four-dimensional gauged supergravity instanton for graviphoton The particular theory in turn determines lift eleven-dimensional supergravity. compute partition function Chern–Simons quiver both sides duality, large N limit, finding precise agreement functional dependence squashing...
We construct supersymmetric $AdS_3\times Σ$ solutions of minimal gauged supergravity in $D=5$, where $Σ$ is a two-dimensional orbifold known as spindle. Remarkably, these uplift on $S^5$, or more generally any regular Sasaki-Einstein manifold, to smooth type IIB supergravity. The are dual $d=2$, $\mathcal{N}=(0,2)$ SCFTs and we show that the central charge for gravity solution agrees with field theory calculation associated D3-branes wrapped $Σ$. Unlike superconformal R-symmetry mixes $U(1)$ isometry
SARS-CoV-2 infection causes diverse outcomes ranging from asymptomatic to respiratory distress and death. A major unresolved question is whether prior immunity endemic, human common cold coronaviruses (hCCCoVs) impacts susceptibility or following vaccination. Therefore, we analyzed samples the same individuals before after We found hCCCoV antibody levels increase exposure, demonstrating cross-reactivity. However, a case-control study indicates that baseline are not associated with protection...
We study solutions in the Pleba\'nski--Demia\'nski family which describe an accelerating, rotating and dyonically charged black hole $AdS_4$. These are of $D=4$ Einstein-Maxwell theory with a negative cosmological constant hence minimal gauged supergravity. It is well known that when acceleration non-vanishing metrics have conical singularities. By uplifting to $D=11$ supergravity using regular Sasaki-Einstein $7$-manifold, $SE_7$, we show how free parameters can be chosen eliminate...
We study the thermodynamics of ${\mathrm{AdS}}_{4}$ black hole solutions Einstein-Maxwell theory that are accelerating, rotating, and carry electric magnetic charges. focus on class for which horizon is a spindle can be uplifted regular Sasaki-Einstein spaces to give $D=11$ supergravity free from conical singularities. use holography calculate Euclidean on-shell action define set conserved charges rise first law. identify complex locus supersymmetric nonextremal solutions, defined through an...
A bstract In the context of holography, we analyse aspects supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spin c spinors a spindle with an azimuthal rotation symmetry show that under rather general conditions there are just two possibilities, called ‘twist’ and ‘anti-twist’, which determined by quantized magnetic flux through spindle. special case twist is standard topological associated constant chiral spinors. We construct solutions D = 5 4 STU...
We construct a family of multi-dyonically charged and rotating supersymmetric AdS$_2\times \Sigma$ solutions $D=4$, $\mathcal{N}=4$ gauged supergravity, where $\Sigma$ is sphere with two conical singularities known as spindle. argue that these arise near horizon limits extremal dyonically accelerating black holes in AdS$_4$, we conjecture to exist. demonstrate this the non-rotating limit, constructing hole showing non-spinning spindle limit sub-class holes. From compute Bekenstein-Hawking...
We show that supersymmetric supergravity solutions with an R-symmetry Killing vector are equipped a set of equivariantly closed forms. Various physical observables may be expressed as integrals these forms, and then evaluated using the Berline-Vergne-Atiyah-Bott fixed point theorem. illustrate variety holographic examples, including on-shell actions, black hole entropies, central charges, scaling dimensions operators. The resulting expressions depend only on topological data vector, hence...
A bstract We use equivariant localization to construct off-shell entropy functions for supersymmetric black holes in $$\mathcal{N}$$ = 2, D 4 gauged supergravity coupled matter. This allows one compute the hole without solving equations of motion and provides a novel generalization attractor mechanism. consider magnetically charged AdS which have an 2 × M near horizon geometry, where is sphere or spindle, we also obtain ungauged as simple corollary. derive analogous results strings rings 5 3...
A bstract We explain how equivariant localization may be applied to AdS/CFT compute various BPS observables in gravity, such as central charges and conformal dimensions of chiral primary operators, without solving the supergravity equations. The key ingredient is that supersymmetric AdS solutions with an R-symmetry are equipped a set equivariantly closed forms. These turn used impose flux quantization for solutions, using only topological information Berline-Vergne-Atiyah-Bott fixed point...
We show that by taking a certain scaling limit of Euclideanised form the Plebanski–Demianski metrics one obtains family local toric Kähler–Einstein metrics. These can be used to construct Sasaki–Einstein in five dimensions which are generalisations Yp,q manifolds. In fact, we find these diffeomorphic those recently found Cvetic, Lu, Page and Pope. argue corresponding smooth manifolds all have topology S2×S3. conclude setting up equations describing warped version Calabi–Yau cones, supporting...
We study the most general supersymmetric warped M-theory backgrounds with a non-trivial G flux of type ${R}^{1,2}\ifmmode\times\else\texttimes\fi{}{\mathrm{M}}_{8}$ and ${\mathrm{AdS}}_{3}\ifmmode\times\else\texttimes\fi{}{\mathrm{M}}_{8}.$ give set necessary sufficient conditions for preservation supersymmetry which are phrased in terms structures their intrinsic torsion. These equations may be interpreted as calibration static ``dyonic'' M-brane, that is, an M5-brane self-dual three-form...