6 papers
Finding CFTs from spatial positivity of partition functions
Léo Buisine, Horacio Casini, Leandro Martinek
We discuss a positivity property for partition functions that generalizes modular invariance and which is here conjectured to hold for general 2D CFTs. We show its relation to posi…
Exact mutual information for free massless fermions in any dimension
Nicolás Abate, Leandro Martinek
We obtain an exact expression for the Rényi mutual information (RMI) between two spherical regions for a free, massless Dirac field in spacetime dimensions and for a massless R…
Quantum microstate counting from Brownian motion: from many-body systems to black holes
Enzo Bavaro, Javier M. Magan, Leandro Martinek
We introduce a new way to produce infinite families of bases of a quantum system's Hilbert space, as well as methods to find its dimension. These families are constructed via Brown…
Exact Mutual Information Difference: Scalar vs. Maxwell Fields
Nicolás Abate, Horacio Casini, Marina Huerta +1
We compute, for any Rényi index , the exact difference between the mutual Rényi informations of a pair of free massless scalars and that of a Maxwell field in dimensions.…
Optimal symmetry operators
Leandro Martinek
We present a constructive method to maximize the expectation value of operators that implement a symmetry on a subsystem, making use of modular tools. More generally, we study the…
Standard translation twists and an operator-bounded energy inequality
Horacio Casini, Leandro Martinek
Twist operators implement symmetries in bounder regions of the space. Standard twists are a special class of twists constructed using modular tools. The twists corresponding to tra…