Outputs (209)

Khovanov homotopy calculations using flow category calculus (2019)
Journal Article
Lobb, A., Orson, P., & Schuetz, D. (2020). Khovanov homotopy calculations using flow category calculus. Experimental Mathematics, 29(4), 475-500. https://doi.org/10.1080/10586458.2018.1482805

The Lipshitz–Sarkar stable homotopy link invariant defines Steenrod squares on the Khovanov cohomology of a link. Lipshitz–Sarkar constructed an algorithm for computing the first two Steenrod squares. We develop a new algorithm which implements the f... Read More about Khovanov homotopy calculations using flow category calculus.

Magnetohydrodynamics as Superfluidity (2019)
Journal Article
Armas, J., & Jain, A. (2019). Magnetohydrodynamics as Superfluidity. Physical Review Letters, 122(14), Article 141603. https://doi.org/10.1103/physrevlett.122.141603

We show that relativistic magnetohydrodynamics (MHD) can be recast as a novel theory of superfluidity. This new theory formulates MHD just in terms of conservation equations, including dissipative effects, by introducing appropriate variables such as... Read More about Magnetohydrodynamics as Superfluidity.

Random walk in cooling random environment: ergodic limits and concentration inequalities (2019)
Journal Article
Avena, L., Chino, Y., da Costa, C., & den Hollander, F. (2019). Random walk in cooling random environment: ergodic limits and concentration inequalities. Electronic Journal of Probability, 24, Article 38. https://doi.org/10.1214/19-ejp296

In previous work by Avena and den Hollander [3], a model of a random walk in a dynamic random environment was proposed where the random environment is resampled from a given law along a given sequence of times. In the regime where the increments of t... Read More about Random walk in cooling random environment: ergodic limits and concentration inequalities.

Whitney towers and abelian invariants of knots (2019)
Journal Article
Cha, J. C., Orr, K., & Powell, M. (2020). Whitney towers and abelian invariants of knots. Mathematische Zeitschrift, 294(1-2), 519-553. https://doi.org/10.1007/s00209-019-02293-x

We relate certain abelian invariants of a knot, namely the Alexander polynomial, the Blanchfield form, and the Arf invariant, to intersection data of a Whitney tower in the 4-ball bounded by the knot. We also give a new 3-dimensional algorithm for co... Read More about Whitney towers and abelian invariants of knots.

Recursion relations for anomalous dimensions in the 6d (2, 0) theory (2019)
Journal Article
Abl, T., Heslop, P., & Lipstein, A. E. (2019). Recursion relations for anomalous dimensions in the 6d (2, 0) theory. Journal of High Energy Physics, 2019(4), Article 38. https://doi.org/10.1007/jhep04%282019%29038

We derive recursion relations for the anomalous dimensions of double-trace operators occurring in the conformal block expansion of four-point stress tensor correlators in the 6d (2, 0) theory, which encode higher-derivative corrections to supergravit... Read More about Recursion relations for anomalous dimensions in the 6d (2, 0) theory.

LHC searches for Dark Matter in compressed mass scenarios: challenges in the forward proton mode (2019)
Journal Article
Harland-Lang, L., Khoze, V., Ryskin, M., & Tasevsky, M. (2019). LHC searches for Dark Matter in compressed mass scenarios: challenges in the forward proton mode. Journal of High Energy Physics, 2019(4), Article 10. https://doi.org/10.1007/jhep04%282019%29010

We analyze in detail the LHC prospects at the center-of-mass enery of s√ = 14 TeV for charged electroweakino searches, decaying to leptons, in compressed supersymmetry scenarios, via exclusive photon-initiated pair production. This provides a potenti... Read More about LHC searches for Dark Matter in compressed mass scenarios: challenges in the forward proton mode.

Long-Scale Ollivier Ricci Curvature of Graphs (2019)
Journal Article
Cushing, D., & Kamtue, S. (2019). Long-Scale Ollivier Ricci Curvature of Graphs. Analysis and Geometry in Metric Spaces, 7(1), 22-44. https://doi.org/10.1515/agms-2019-0003

We study the long-scale Ollivier Ricci curvature of graphs as a function of the chosen idleness. Similarly to the previous work on the short-scale case, we show that this idleness function is concave and piecewise linear with at most 3 linear parts.... Read More about Long-Scale Ollivier Ricci Curvature of Graphs.

Higgs bundles for M-theory on G2-manifolds (2019)
Journal Article
Braun, A. P., Cizel, S., Hübner, M., & Schäfer-Nameki, S. (2019). Higgs bundles for M-theory on G2-manifolds. Journal of High Energy Physics, 2019(3), Article 199. https://doi.org/10.1007/jhep03%282019%29199

M-theory compactified on G2-holonomy manifolds results in 4d N = 1 supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a partially twisted 7... Read More about Higgs bundles for M-theory on G2-manifolds.

A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase (2019)
Journal Article
Chhita, S., & Toninelli, F. L. (2019). A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase. Communications in Mathematical Physics, 367(2), 483-516. https://doi.org/10.1007/s00220-019-03402-x

Stochastic growth processes in dimension (2+1) were conjectured by D. Wolf, on the basis of renormalization-group arguments, to fall into two distinct universality classes, according to whether the Hessian Hρ of the speed of growth v(ρ) as a function... Read More about A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase.

Critical Liouville measure as a limit of subcritical measures (2019)
Journal Article
Aru, J., Powell, E., & Sepúlveda, A. (2019). Critical Liouville measure as a limit of subcritical measures. Electronic Communications in Probability, 24, 1-16. https://doi.org/10.1214/19-ecp209

We study how the Gaussian multiplicative chaos (GMC) measures μγ corresponding to the 2D Gaussian free field change when γ approaches the critical parameter 2. In particular, we show that as γ→2−, (2−γ)−1μγ converges in probability to 2μ′, where μ′ i... Read More about Critical Liouville measure as a limit of subcritical measures.