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...

Jeong, Saebyeok Lee, Norton Nekrasov, Nikita

We explore the $\textit{difference Langlands correspondence}$ using the four dimensional ${\mathcal{N}}=2$ super-QCD. Surface defects and surface observables play the crucial role. As an application, we give the first construction of the full set of quantum integrals, i.e. commuting differential operators, such that the partition function of the so...

Jeong, Saebyeok Lee, Norton

We study two types of surface observables $-$ the $\mathbf{Q}$-observables and the $\mathbf{H}$-observables $-$ of the 4d $\mathcal{N}=2$$A_1$-quiver $U(N)$ gauge theory obtained by coupling a 2d $\mathcal{N}=(2,2)$ gauged linear sigma model. We demonstrate that the transition between the two surface defects manifests as a Fourier transformation be...

Albayrak, Omer Vachaspati, Tanmay

We consider the creation of kink-antikink pairs of a scalar field $\phi$ by the scattering of classical wavepackets of a second scalar field, $\psi$, when there are no direct interactions between $\phi$ and $\psi$. The creation becomes possible only due to a quantum field that interacts with both $\phi$ and $\psi$. We scan parameter space and find ...

Cohen, Timothy Lu, Xiaochuan Zhang, Zhengkang

We revisit the calculation of anomalies for global and gauge symmetries in the framework of the Covariant Derivative Expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We introduce a class of regulators that facilitate a straightfor...

Carcagno, R

This document specifies the acceptance criteria for the LMQXFA cold mass and cryoassembly. If all the requirements specified in this document are met, then the U.S. HL-LHC AUP LMQXFA and LQXFA deliverables will be accepted by Please note that the definition of threshold as it is being used by the American contribution is not the same as objective, ...

Álvarez-Gaumé, Luis Chaichian, Moshe M. Oksanen, Markku A. Tureanu, Anca

The CPT theorem originally proven by L\"uders and Pauli ensures the equality of masses, lifetimes, magnetic moments and cross sections of any particle and its antiparticle. We show that in a Lorentz invariant quantum field theory described by its Lagrangian, CPT-violating interaction alone does not split the masses of an elementary particle and its...

Alvarez-Gaume, Luis Vazquez-Mozo, Miguel A.

Anomalies are a very powerful tool in constraining theories beyond the standard model. We give a pedagogical overview of some topics illustrating the important role played by spacetime anomalies in string theory. After discussing the general problem of anomaly cancellation in quantum field theory, the focus is set on the cancellation of anomalies i...

Komatsu, Shota Martina, Adrien Penedones, João Suchel, Noé Vuignier, Antoine Zhao, Xiang

We revisit the Berenstein-Maldacena-Nastase (BMN) conjecture relating M-theory on a PP-wave background and Matrix Quantum Mechanics (MQM) of $N\times N$ matrices. In particular, we study the BMN MQM at strong coupling and finite $N$ and derive an effective Hamiltonian that describes non-relativistic free particles in a harmonic trap. The energy spe...

Lacroix, Sylvain Wallberg, Anders

In the past few years, the unifying frameworks of 4-dimensional Chern-Simons theory and affine Gaudin models have allowed for the systematic construction of a large family of integrable $\sigma$-models. These models depend on the data of a Riemann surface $C$ (here of genus 0 or 1) and of a meromorphic 1-form $\omega$ on $C$, which encodes the geom...