Cheong, Dhong Yeon Lee, Sung Mook Park, Seong Chan

Primordial black holes are produced in a minimal UV extension to the Higgs inflation with an included $R^2$ term. We show that for parameters consistent with Standard Model measurements and Planck observation results lead to $M_{\rm PBH} \in (10^{-17}, 10^{-15}) M_\odot$ primordial black holes with significant abundance, which may consist the major...

Dymarsky, Anatoly Gorsky, Alexander

We show in full generality that time-correlation function of a physical observable analytically continued to imaginary time is a tau-function of integrable Toda hierarchy. Using this relation we show that the singularity along the imaginary axis, which is a generic behavior for quantum non-integrable many-body system, is due to delocalization in Kr...

Bonati, Claudio Cardinali, Marco D'Elia, Massimo Mazziotti, Fabrizio

In this paper we study, by means of numerical simulations, the topological properties of $SU(3)$ and $SU(4)$ trace deformed Yang-Mills theory defined on $ \mathbb{R}^3\times S^1$, in which center symmetry is recovered even at small compactification radii. In particular, we compute the topological suscpetibility $\chi$ and the coefficient $b_2$ (rel...

Rather, Suhail Ahmad Aravinda, S. Lakshminarayan, Arul

Maximally entangled bipartite unitary operators or gates find various applications from quantum information to being building blocks of minimal models of many-body quantum chaos, and have been referred to as 1-unitaries and dual unitaries. Such dual operators that can create the maximum entanglement on the average when acting on product states have...

Higuchi, Atsushi Schmieding, Lasse

It is well known that linearized gravity in spacetimes with compact Cauchy surfaces and continuous symmetries suffers from linearization instabilities: solutions to classical linearized gravity in such a spacetime must satisfy so-called linearization stability conditions (or constraints) for them to extend to solutions in the full non-linear theory...

Bhattacharya, Sourav Chakrabortty, Shankhadeep Goyal, Shivang

We discuss the field quantisation of a free massive Dirac fermion in the two causally disconnected static patches of the de Sitter spacetime, by using mode functions that are normalisable on the cosmological event horizon. Using this, we compute the entanglement entropy of the vacuum state corresponding to these two regions, for a given fermionic m...

Kapec, Daniel Mahajan, Raghu Stanford, Douglas

The Hilbert space of a quantum system with internal global symmetry $G$ decomposes into sectors labelled by irreducible representations of $G$. If the system is chaotic, the energies in each sector should separately resemble ordinary random matrix theory. We show that such "sector-wise" random matrix ensembles arise as the boundary dual of two-dime...

Klinkhamer, F.R.

We present evidence that recent numerical results from a Lorentzian matrix model can be interpreted as corresponding to the emergence of an expanding universe. In addition, we propose an effective metric to describe the emerging (3+1)-dimensional spacetime. This metric gives, at all times, finite values for the Ricci and Kretschmann curvature scala...

Lee, Sung-Sik

We construct a model of quantum gravity in which dimension, topology and geometry of spacetime are dynamical. The microscopic degree of freedom is a real rectangular matrix whose rows label internal flavours, and columns label spatial sites. In the limit that the size of the matrix is large, the sites can collectively form a spatial manifold. The m...

de Leeuw, Marius Eden, Burkhard Plat, Dennis le Meier, Tim Sfondrini, Alessandro

Correlation functions of gauge-invariant composite operators in N=4 super Yang-Mills theory can be computed by integrability using triangulations. The elementary tile in this process is the hexagon, which should be glued by appropriately inserting resolutions of the identity involving virtual ("mirror") magnons. We consider this problem for five-po...