46 citations · 90 across the 16 of their papers we have counts for
16 papers
Spectral Fractional Bosonic Strings: Exact Polyakov Measure and the Critical Dimension
Tianhao Wu, Gabriele La Nave
Fractional Laplacians encode anomalous scaling and covariant nonlocal response in quantum matter and holographic boundary systems. We place the corresponding scalar spectral theory…
Kitaev Chain with a Fractional Twist
Bora Basa, Gabriele La Nave, Philip W. Phillips
The topological non-triviality of insulating phases of matter is by now well understood through topological K-theory where the indices of the Dirac operators are assembled into top…
Doped Mott Insulators Break Symmetry of a Fermi Liquid: Stability of Strongly Coupled Fixed Points
Edwin W. Huang, Gabriele La Nave, Philip W. Phillips
Because Fermi liquids are inherently non-interacting states of matter, all electronic levels below the chemical potential are doubly occupied. Consequently, the simplest way of bre…
Nonlocal Conformal Field Theory
Bora Basa, Gabriele La Nave, Philip W. Phillips
Using the recently developed notion of a fractional Virasoro algebra, we explore the implied operator product expansions in nonlocal conformal field theories and their geometric me…
Second-order Lovelock Gravity from Entanglement in Conformal Field Theories
Cunwei Fan, Gabriele La Nave, Philip W. Phillips
Holographic entanglement entropy and the first law of thermodynamics are believed to decode the gravity theory in the bulk. In particular, assuming the Ryu-Takayanagi (RT)\cite{ryu…
Anomalous Dimensions for Boundary Conserved Currents in Holography via the Caffarelli-Silvestri Mechanism for p-forms
Gabriele La Nave, Philip Phillips
Although it is well known that the Ward identities prohibit anomalous dimensions for conserved currents in local field theories, a claim from certain holographic models involving b…
Fractional Virasoro Algebras
Gabriele La Nave, Philip Phillips
We show that it is possible to construct a Virasoro algebra as a central extension of the fractional Witt algebra generated by non-local operators of the form, $L_n^a\equiv\left(\f…
The Gromov Limit for Vortex Moduli Spaces
Gabriele La Nave, Chih-Chung Liu
We generalize the descriptions of vortex moduli spaces in \cite{Br} to more than one section with adiabatic constant . The moduli space is topologically independent of but i…
Exact Form of Boundary Operators Dual to Interacting Bulk Scalar Fields in the AdS/CFT Correspondence
Gabriele La Nave, Philip Phillips
Using holographic renormalization coupled with the Caffarelli/Silvestre\cite{caffarelli} extension theorem, we calculate the precise form of the boundary operator dual to a bulk sc…
On the curvature of conic Kaehler-Einstein metrics
Claudio Arezzo, Alberto Della Vedova, Gabriele La Nave
We prove a regularity result for Monge-Ampère equations degenerate along smooth divisor on Kaehler manifolds in Donaldson's spaces of -weighted functions. We apply this result t…
Geodesically Complete Metrics Induce Boundary Non-locality in Holography: Consequences for the Entanglement Entropy
Gabriele La Nave, Philip W. Phillips
We show explicitly that the full structure of IIB string theory is needed to remove the non-localities that arise in boundary conformal theories that border hyperbolic spaces on Ad…
A continuity method to construct canonical metrics
Gabriele La Nave, Gang Tian
We introduce a new continuity method which provides an alternative way of carrying out the Analytic Minimal Model Program introduced by G. Tian and J. Song and G. Tian. This equati…
Geometric flows and Kähler reduction
Claudio Arezzo, Alberto Della Vedova, Gabriele La Nave
We investigate how to obtain various flows of Kähler metrics on a fixed manifold as variations of Kähler reductions of a metric satisfying a given static equation on a higher dimen…
Macroscopic dimension and fundamental group of manifolds with positive isotropic curvature
Gabriele La Nave
We prove a conjecture of Gromov's to the effect that manifolds with isotropic curvature bounded below by 1 (after possibly rescaling) are macroscopically 1-dimensional on the scale…
Singularities and K-semistability
C. Arezzo, A. Della Vedova, G. La Nave
In this paper we extend the notion of Futaki invariant to big and nef classes in such a way that it defines a continuous function on the \K\ cone up to the boundary. We apply this…
Explicit stable models of elliptic surfaces with sections
Gabriele La Nave
In this note we show how to find the stable model of a one-parameter family of elliptic surfaces with sections. More specifically, we perform the log Minimal Model Program in an ex…