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Complexity in quantum physics measures how difficult a state can be reached from a reference state and more precisely it is the number of fundamental unitary gates we have to operate to transform the reference state to the state we are…

High Energy Physics - Theory · Physics 2020-06-05 Hao Geng

We show that general relativity can be viewed as a higher gauge theory involving a categorical group, or 2-group, called the teleparallel 2-group. On any semi-Riemannian manifold M, we first construct a principal 2-bundle with the Poincare…

General Relativity and Quantum Cosmology · Physics 2017-08-22 John C. Baez , Derek K. Wise

The theory described by the sum of the Einstein-Hilbert action and the action of conformal scalar field possesses the duality symmetry which includes some special conformal transformation of the metric, and also inversion of scalar field…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Shapiro

$T\bar{T}$ deformed conformal field theories can be reformulated as worldsheet theories of non-critical strings. We use this correspondence to compute and study the $T\bar{T}$ deformed partition sum of a symmetric product CFT. We find that…

High Energy Physics - Theory · Physics 2023-05-23 Nathan Benjamin , Scott Collier , Jorrit Kruthoff , Herman Verlinde , Mengyang Zhang

We compute the fundamental correlation functions in two-dimensional rational conformal field theory, from which all other correlators can be obtained by sewing: the correlators of three bulk fields on the sphere, one bulk and one boundary…

High Energy Physics - Theory · Physics 2010-11-19 Jürgen Fuchs , Ingo Runkel , Christoph Schweigert

In this article, we study deformations of conjugate self-dual Galois representations. The study has two folds. First, we prove an R=T type theorem for a conjugate self-dual Galois representation with coefficients in a finite field,…

Number Theory · Mathematics 2021-08-17 Yifeng Liu , Yichao Tian , Liang Xiao , Wei Zhang , Xinwen Zhu

Local observation is an important problem both for the foundations of a quantum theory of gravity and for applications to quantum-cosmological problems such as eternal inflation. While gauge invariant local observables can't be defined, it…

High Energy Physics - Theory · Physics 2008-11-26 Michael Gary , Steven B. Giddings

We perform the dynamical change of coordinates to derive a generalization of the trace relation and apply it to the non-linear Schr\"odinger model. After that, we work out the dimensional reduction of the bilinear $T\bar T$ operator and…

High Energy Physics - Theory · Physics 2022-01-26 Dmitriy Pavshinkin

The next generation of galaxy surveys will provide highly accurate measurements of the large-scale structure of the Universe, allowing for more stringent tests of gravity on cosmological scales. Higher order statistics are a valuable tool…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-29 Alejandro Aviles , Gustavo Niz

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the…

High Energy Physics - Theory · Physics 2009-10-22 T. T. Burwick , A. H. Chamseddine

After a brief review of topological gravity, we present a superspace approach to this theory. This formulation allows us to recover in a natural manner various known results and to gain some insight into the precise relationship between…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. P. Constantinidis , A. Deandrea , F. Gieres , M. Lefrancois , O. Piguet

We review recent progress in 2D gravity coupled to $d<1$ conformal matter, based on a representation of discrete gravity in terms of random matrices. We discuss the saddle point approximation for these models, including a class of related…

High Energy Physics - Theory · Physics 2010-11-01 P. Di Francesco , P. Ginsparg , J. Zinn-Justin

We study the effective theory of the conformal factor near its infrared stable fixed point.The renormalization group equations for the effective coupling constants are found and their solutions near the critical point are obtained,…

High Energy Physics - Theory · Physics 2009-09-17 I. Antoniadis , S. D. Odintsov

We obtain massive deformations of Type IIA supergravity theory through duality twisted reductions of Double Field Theory (DFT) of massless Type II strings. The mass deformation is induced through the reduction of the DFT of the RR sector.…

High Energy Physics - Theory · Physics 2018-03-09 Aybike Catal-Ozer

Surprising links between the deformation of 2D quantum field theories induced by the composite $\textrm{T} \bar{\textrm{T}}$ operator, effective string models and the $AdS/$CFT correspondence, have recently emerged. The purpose of this…

High Energy Physics - Theory · Physics 2018-11-14 Riccardo Conti , Leonardo Iannella , Stefano Negro , Roberto Tateo

Vielbeins are necessary when coupling General Relativity (GR) to fermionic matter. This enhances the gauge group of GR to include local Lorentz transformations. In view of a reduced phase space formulation of quantum gravity, in this work…

General Relativity and Quantum Cosmology · Physics 2023-05-12 Thomas Thiemann

Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In…

High Energy Physics - Theory · Physics 2021-05-18 Thomas B. Rochais

We consider the relation between affine Toda field theories (ATFT) and Landau-Ginzburg Lagrangians as alternative descriptions of deformed 2d CFT. First, we show that the two concrete implementations of the deformation are consistent once…

High Energy Physics - Theory · Physics 2007-05-23 Jose Gaite

Twisted holography relates the two-dimensional chiral algebra subsector of $\mathcal{N}=4$ SYM to the B-model topological string theory on the deformed conifold $SL(2,\mathbb{C})$. We review the relevant aspects of the duality and its two…

High Energy Physics - Theory · Physics 2023-10-26 Kasia Budzik

We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in T$\overline{\text{T}}$-deformed CFT$_2$s up to the first order in the deformation parameter. Utilizing…

High Energy Physics - Theory · Physics 2026-02-25 Debarshi Basu , Lavish Chawla , Boudhayan Paul