6 problems
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Factorisation conjecture for the full partition function on toric Sasaki–Einstein manifolds
The perturbative partition function of supersymmetric Yang–Mills theory on suitable toric Sasaki–Einstein manifolds admits a factorisation into contributions associated with the to…
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BPS-geodesic conjecture for giant gravitons
Let be a generic Sasaki–Einstein manifold, and consider the states obtained from D3-branes wrapping an inside and moving along a trajectory in . BPS-geodes…
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Existence of smooth Sasaki–Einstein manifolds from iterated joins
An iterated join in the Gorenstein case is a smooth manifold of odd dimension. Existence conjecture. In the Gorenstein case, the iterated joins admit smooth Sasaki–Eins…
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Closed-Reeb-orbit localisation conjecture for instantons on toric Sasaki–Einstein manifolds
Let be a toric Sasaki–Einstein manifold whose toric data determine sectors associated with closed Reeb orbits. The full non-perturbative partition function receives…
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Localisation conjecture for non-perturbative contributions on toric Sasaki–Einstein manifolds
A toric Sasaki–Einstein 5-manifold has isolated loci where the Reeb vector forms closed orbits, and its non-perturbative partition-function contributions are expected to localise a…
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AdS/CFT duality for Sasaki–Einstein five-manifolds
Let be a Sasaki–Einstein -manifold, and let denote the corresponding product manifold. AdS/CFT duality conjecture. The product manifold … is a solution…