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Geometric properties of rank one asymptotically harmonic manifolds (2015)
Journal Article
Knieper, G., & Peyerimhoff, N. (2015). Geometric properties of rank one asymptotically harmonic manifolds. Journal of Differential Geometry, 100(3), 507-532. https://doi.org/10.4310/jdg/1432842363

In this article we consider asymptotically harmonic manifolds which are simply connected complete Riemannian manifolds without conjugate points such that all horospheres have the same constant mean curvature h. We prove the following equivalences for... Read More about Geometric properties of rank one asymptotically harmonic manifolds.

Complex hyperbolic free groups with many parabolic elements (2015)
Presentation / Conference Contribution
Parker, J. R., & Will, P. (2015). Complex hyperbolic free groups with many parabolic elements. In Geometry, groups and dynamics : ICTS program : groups, geometry and dynamics, December 3-16, 2012, Almora, India (327-348). https://doi.org/10.1090/conm/639/12782

We consider in this work representations of the of the fundamental group of the 3-punctured sphere in PU(2,1) such that the boundary loops are mapped to PU(2,1) . We provide a system of coordinates on the corresponding representation variety, and ana... Read More about Complex hyperbolic free groups with many parabolic elements.

Entanglement density and gravitational thermodynamics (2015)
Journal Article
Bhattacharya, J., Hubeny, V., Rangamani, M., & Takayanagi, T. (2015). Entanglement density and gravitational thermodynamics. Physical Review D, 91(10), Article 106009. https://doi.org/10.1103/physrevd.91.106009

In an attempt to find a quasilocal measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose entanglement we mo... Read More about Entanglement density and gravitational thermodynamics.

Defects and quantum Seiberg-Witten geometry (2015)
Journal Article
Bullimore, M., Kim, H., & Koroteev, P. (2015). Defects and quantum Seiberg-Witten geometry. Journal of High Energy Physics, 2015(05), Article 095. https://doi.org/10.1007/jhep05%282015%29095

We study the Nekrasov partition function of the five dimensional U(N) gauge theory with maximal supersymmetry on ℝ4 × S 1 in the presence of codimension two defects. The codimension two defects can be described either as monodromy defects, or by coup... Read More about Defects and quantum Seiberg-Witten geometry.

On the complexity of a putative counterexample to the p-adic Littlewood conjecture (2015)
Journal Article
Badziahin, D., Bugeaud, Y., Einsiedler, M., & Kleinbock, D. (2015). On the complexity of a putative counterexample to the p-adic Littlewood conjecture. Compositio Mathematica, 151(09), 1647-1662. https://doi.org/10.1112/s0010437x15007393

Let ∥⋅∥ denote the distance to the nearest integer and, for a prime number p, let |⋅|p denote the p-adic absolute value. Over a decade ago, de Mathan and Teulié [Problèmes diophantiens simultanés, Monatsh. Math. 143 (2004), 229–245] asked whether inf... Read More about On the complexity of a putative counterexample to the p-adic Littlewood conjecture.

The Effect of Reconnection on the Structure of the Sun's Open-Closed Flux Boundary (2015)
Journal Article
Pontin, D., & Wyper, P. (2015). The Effect of Reconnection on the Structure of the Sun's Open-Closed Flux Boundary. Astrophysical Journal, 805(1), Article 39. https://doi.org/10.1088/0004-637x/805/1/39

Global magnetic field extrapolations are now revealing the huge complexity of the Sun's corona, and in particular the structure of the boundary between open and closed magnetic flux. Moreover, recent developments indicate that magnetic reconnection i... Read More about The Effect of Reconnection on the Structure of the Sun's Open-Closed Flux Boundary.

QED as the tensionless limit of the spinning string with contact interaction (2015)
Journal Article
Edwards, J. P., & Mansfield, P. (2015). QED as the tensionless limit of the spinning string with contact interaction. Physics Letters B, 746, 335-340. https://doi.org/10.1016/j.physletb.2015.05.024

QED with spinor matter is argued to correspond to the tensionless limit of spinning strings with contact interactions. The strings represent electric lines of force with charges at their ends. The interaction is constructed from a delta-function on t... Read More about QED as the tensionless limit of the spinning string with contact interaction.

On the existence of high-frequency boundary resonances in layered elastic media (2015)
Journal Article
Cherednichenko, K., & Cooper, S. (2015). On the existence of high-frequency boundary resonances in layered elastic media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2178), Article 20140878. https://doi.org/10.1098/rspa.2014.0878

We analyse the asymptotic behaviour of high-frequency vibrations of a three-dimensional layered elastic medium occupying the domain Ω=(−a,a)3, a>0. We show that in both cases of stress-free and zero-displacement boundary conditions on the boundary of... Read More about On the existence of high-frequency boundary resonances in layered elastic media.

Adiabatic hydrodynamics: the eightfold way to dissipation (2015)
Journal Article
Haehl, F. M., Loganayagam, R., & Rangamani, M. (2015). Adiabatic hydrodynamics: the eightfold way to dissipation. Journal of High Energy Physics, 2015(5), Article 60. https://doi.org/10.1007/jhep05%282015%29060

Hydrodynamics is the low-energy effective field theory of any interacting quantum theory, capturing the long-wavelength fluctuations of an equilibrium Gibbs densitymatrix. Conventionally, one views the effective dynamics in terms of the conserved cur... Read More about Adiabatic hydrodynamics: the eightfold way to dissipation.

Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials (2015)
Journal Article
Leonhardt, K., Peyerimhoff, N., Tautenhahn, M., & Veselic, I. (2015). Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials. Reviews in Mathematical Physics, 27(04), https://doi.org/10.1142/s0129055x15500075

We study Schrödinger operators on L2(ℝd) and ℓ2(ℤd) with a random potential of alloy-type. The single-site potential is assumed to be exponentially decaying but not necessarily of fixed sign. In the continuum setting, we require a generalized step-fu... Read More about Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials.

The superconformal index of the (2,0) theory with defects (2015)
Journal Article
Bullimore, M., & Kim, H. (2015). The superconformal index of the (2,0) theory with defects. Journal of High Energy Physics, 2015(05), Article 048. https://doi.org/10.1007/jhep05%282015%29048

We compute the supersymmetric partition function of the six-dimensional (2, 0) theory of type A N −1 on S 1 × S 5 in the presence of both codimension two and codimension four defects. We concentrate on a limit of the partition function depending on a... Read More about The superconformal index of the (2,0) theory with defects.

New non-arithmetic complex hyperbolic lattices (2015)
Journal Article
Deraux, M., Parker, J. R., & Paupert, J. (2016). New non-arithmetic complex hyperbolic lattices. Inventiones Mathematicae, 203(3), 681-771. https://doi.org/10.1007/s00222-015-0600-1

We produce a family of new, non-arithmetic lattices in TeX. All previously known examples were commensurable with lattices constructed by Picard, Mostow, and Deligne–Mostow, and fell into nine commensurability classes. Our groups produce five new dis... Read More about New non-arithmetic complex hyperbolic lattices.

W symmetry in six dimensions (2015)
Journal Article
Beem, C., Rastelli, L., & van Rees, B. C. (2015). W symmetry in six dimensions. Journal of High Energy Physics, 2015(05), Article 017. https://doi.org/10.1007/jhep05%282015%29017

Six-dimensional conformal field theories with p2, 0q supersymmetry are shown to possess a protected sector of operators and observables that are isomorphic to a twodimensional chiral algebra. We argue that the chiral algebra associated to a p2, 0q th... Read More about W symmetry in six dimensions.

Chiral algebras of class S (2015)
Journal Article
Beem, C., Peelaers, W., Rastelli, L., & van Rees, B. C. (2015). Chiral algebras of class S. Journal of High Energy Physics, 2015(05), Article 020. https://doi.org/10.1007/jhep05%282015%29020

Four-dimensional NN = 2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we explore the chiral algebras that arise in this manner in the conte... Read More about Chiral algebras of class S.

Higher Derivative Corrections to Charged Fluids in 2n Dimensions (2015)
Journal Article
Banerjee, N., Dutta, S., & Jain, A. (2015). Higher Derivative Corrections to Charged Fluids in 2n Dimensions. Journal of High Energy Physics, 2015, Article 10. https://doi.org/10.1007/jhep05%282015%29010

We study anomalous charged fluid in 2n-dimensions (n ≥ 2) up to sub-leading derivative order. Only the effect of gauge anomaly is important at this order. Using the Euclidean partition function formalism, we find the constraints on different sub-lead... Read More about Higher Derivative Corrections to Charged Fluids in 2n Dimensions.

Uniform Bounds for Period Integrals and Sparse Equidistribution (2015)
Journal Article
Tanis, J., & Vishe, P. (2015). Uniform Bounds for Period Integrals and Sparse Equidistribution. International Mathematics Research Notices, 2015(24), 13728-13756. https://doi.org/10.1093/imrn/rnv115

Let M=Γ∖PSL(2,R) be a compact manifold, and let f∈C∞(M) be a function of zero average. We use spectral methods to get uniform (i.e., independent of spectral gap) bounds for twisted averages of f along long horocycle orbit segments. We apply this to o... Read More about Uniform Bounds for Period Integrals and Sparse Equidistribution.

Quantifying three dimensional reconnection in fragmented current layers (2015)
Journal Article
Wyper, P., & Hesse, M. (2015). Quantifying three dimensional reconnection in fragmented current layers. Physics of Plasmas, 22(4), Article 042117. https://doi.org/10.1063/1.4918335

There is growing evidence that when magnetic reconnection occurs in high Lundquist number plasmas such as in the Solar Corona or the Earth's Magnetosphere it does so within a fragmented, rather than a smooth current layer. Within the extent of these... Read More about Quantifying three dimensional reconnection in fragmented current layers.

Schrödinger holography with z = 2 (2015)
Journal Article
Andrade, T., Keeler, C., Peach, A., & Ross, S. (2015). Schrödinger holography with z = 2. Classical and Quantum Gravity, 32(8), https://doi.org/10.1088/0264-9381/32/8/085006

We investigate holography for asymptotically Schrödinger spacetimes, using a frame formalism based on the anisotropic scaling symmetry. We build on our previous work on $z\lt 2$ to propose a dictionary for z = 2. For z = 2, the scaling symmetry does... Read More about Schrödinger holography with z = 2.