Przyjalkowski, Victor V. Coates, Thomas

Mirror Symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory. / Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades...

Plouin, Juliette Baudouy, Bertrand Four, Aurélien Charrier, Jean-Pierre Maurice, Luc Novo, Jorge Peters, Benedikt Liao, Kitty

Superconducting RF cavities are used in particle accelerators to provide energy to the particle beam. Such cavities are mostly fabricated in niobium and often operated in superfluid helium. One of their limits of operation is the appearance of a local quench, initiated by a local field enhancement due to a defect, which leads to a normal conducting...

Białecki, Tomasz Rybotycki, Tomasz Tworzydło, Jakub Bednorz, Adam
Published in
Frontiers in Physics

We analyze the results of the test of π/2 qubit rotations on a public quantum computer provided by IBM. We measure a single qubit rotated by π/2 about a random axis, and we accumulate vast statistics of the results. The test performed on different devices shows systematic deviations from the theoretical predictions, which appear at level 10–3. Some...

Ilin, Aleksei Rybnikov, Leonid

We study the family of Bethe subalgebras in the Yangian $Y(\mathfrak{g})$ parameterized by the corresponding adjoint Lie group $G$. We describe their classical limits as subalgebras in the algebra of polynomial functions on the formal Lie group $G_1[[t^{-1}]]$. In particular we show that, for regular values of the parameter, these subalgebras are f...

Li, Yingcheng Wang, Hongyu Hu, Yuting Wan, Yidun
Published in
Journal of High Energy Physics

An anyonic exclusion statistics, which generalizes the Bose-Einstein and Fermi-Dirac statistics of bosons and fermions, was proposed by Haldane [1]. When fusion of anyons is involved, certain ‘pseudo-species’ anyons appear in the exotic statistical weights of non-Abelian anyon systems; however, the meaning and significance of pseudo-species remains...

Jenkins, Elizabeth E. Manohar, Aneesh V. Stoffer, Peter
Published in
Journal of High Energy Physics

We compute the one-loop anomalous dimensions of the low-energy effective Lagrangian below the electroweak scale, up to terms of dimension six. The theory has 70 dimension-five and 3631 dimension-six Hermitian operators that preserve baryon and lepton number, as well as additional operators that violate baryon number and lepton number. The renormali...

Jenkins, Elizabeth E. Manohar, Aneesh V. Stoffer, Peter
Published in
Journal of High Energy Physics

The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as ΔB = ±ΔL = ±1, ΔL = ±2, and ΔL = ±4 operators. The matching onto these operators fr...

Tian, GuJi Wang, Qi Xu, Chao-Jiang
Published in
Science China Mathematics

We give a classification of second-order polynomial solutions for the homogeneous k-Hessian equation σk[u] = 0. There are only two classes of polynomial solutions: One is convex polynomial; another one must not be (k + 1)-convex, and in the second case, the k-Hessian equations are uniformly elliptic with respect to that solution. Base on this class...

Suchard, Eytan H.

In 1982, Dr. Sam Vaknin pondered the idea of reconstructing physics based on time as a field. His idea appeared in his doctorate dissertation as an amendment to the Dirac spinor equation. Sam saw the Quantum Field Theory particles and momentum and energy as a result of the language of physics and of the way the human mind perceives reality and not ...

Yoo, Chul-Moon Gong, Jinn-Ouk Yokoyama, Shuichiro

We discuss the effect of local type non-Gaussianity on the abundance of primordial black holes (PBH) based on the peak theory. We provide the PBH formation criterion based on the so-called compaction function and use the peak theory statistics associated with the curvature perturbation with the local type non-Gaussianity. Providing a method to esti...