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In two dimensional conformal field theories the limit of large central charge plays the role of a semi-classical limit. Certain universal observables, such as conformal blocks involving the exchange of the identity operator, can be expanded…

High Energy Physics - Theory · Physics 2023-06-07 Nathan Benjamin , Scott Collier , Alexander Maloney , Viraj Meruliya

Conformal symmetries appear in many parts of physics and play a unique role in exploring the Universe. In this work, we consider the possibility of constructing conformal theories of gravity in the Symmetric Teleparallel Gravity framework,…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Viktor Gakis , Martin Krššák , Jackson Levi Said , Emmanuel N. Saridakis

We study a set of many-body wave-functions of Fermions that are naturally written using momentum space basis and allow for quantum superposition of Fermion occupancy, $\{n_{\bf k}\}$. This {enables} us to capture the fluctuations of the…

Strongly Correlated Electrons · Physics 2024-08-05 Ankush Chaubey , Harsh Nigam , Subhro Bhattacharjee , K. Sengupta

The pure spinor formulation of superstring theory includes an interacting sector of central charge $c_{\lambda}=22$, which can be realized as a curved $\beta\gamma$ system on the cone over the orthogonal Grassmannian $\text{OG}^{+}(5,10)$.…

High Energy Physics - Theory · Physics 2020-01-15 Richard Eager , Guglielmo Lockhart , Eric Sharpe

It is known that a subset of fractional quantum Hall wave functions has been expressed as conformal field theory (CFT) correlators, notably the Laughlin wave function at filling factor $\nu=1/m$ ($m$ odd) and its quasiholes, and the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Hans Hansson , Chia-Chen Chang , Jainendra Jain , Susanne Viefers

We study two novel approaches to efficiently encoding universal constraints imposed by conformal symmetry, and describe applications to quantum chaos in higher dimensional CFTs. The first approach consists of a reformulation of the shadow…

High Energy Physics - Theory · Physics 2019-12-13 Felix M. Haehl , Wyatt Reeves , Moshe Rozali

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like)…

High Energy Physics - Theory · Physics 2018-10-17 Stephan Stieberger , Tomasz R. Taylor

The all-loop resummation of SU$(N)$ gauge theory amplitudes is known to factorize into an IR-divergent (soft and collinear) factor and a finite (hard) piece. The divergent factor is universal, whereas the hard function is a…

High Energy Physics - Theory · Physics 2021-07-14 Hernán A. González , Francisco Rojas

Light-cone gauge superstring theory in noncritical dimensions corresponds to a worldsheet theory with nonstandard longitudinal part in the conformal gauge. The longitudinal part of the worldsheet theory is a superconformal field theory…

High Energy Physics - Theory · Physics 2011-01-27 Nobuyuki Ishibashi , Koichi Murakami

We construct 4d superconformal field theories (SCFTs) whose Coulomb branches have singular complex structures. This implies, in particular, that their Coulomb branch coordinate rings are not freely generated. Our construction also gives…

High Energy Physics - Theory · Physics 2018-07-04 Philip C. Argyres , Mario Martone

We propose a manifestly supersymmetric formulation of the Symmetry Topological Field Theory (SuSymTFT) for theories with supersymmetry. The SymTFT is a framework that helps organizing symmetries and anomalies of a QFT. Albeit a lot of…

High Energy Physics - Theory · Physics 2026-04-20 Federico Ambrosino , Alessandro Duci , Pietro Antonio Grassi , Silvia Penati

All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete…

High Energy Physics - Theory · Physics 2021-12-08 Alfredo Guevara , Elizabeth Himwich , Monica Pate , Andrew Strominger

The spontaneous breakdown of the scale, the chiral and the superconformal symmetries for a hidden $SU(N)$ gauge group is studied in an effective lagrangean approach. The relevant low-energy degrees of freedom are taken to be the composite…

High Energy Physics - Phenomenology · Physics 2009-10-22 E. A. Dudas

In this paper, we identify the scaling limit of the fermionic discrete Gaussian free field (fDGFF) as a logarithmic conformal field theory (CFT) in two dimensions. We first establish a one-to-one correspondence between the space of local…

Mathematical Physics · Physics 2025-11-26 David Adame-Carrillo , Wioletta M. Ruszel

The fuzzy-sphere regularisation is a powerful tool to study conformal field theories (CFT) in three spacetime dimensions. In this paper, we extend its scope to CFTs with local fermionic operators. We realise the free-Majorana-fermion CFT on…

High Energy Physics - Theory · Physics 2026-02-27 Zheng Zhou , Davide Gaiotto , Yin-Chen He

Sequestering is important for obtaining flavor-universal soft masses in models where supersymmetry breaking is mediated at high scales. We construct a simple and robust class of hidden sector models which sequester themselves from the…

High Energy Physics - Theory · Physics 2009-11-11 Martin Schmaltz , Raman Sundrum

We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave…

High Energy Physics - Theory · Physics 2018-07-24 Miguel S. Costa , Vasco Goncalves , Joao Penedones

Theories in which the dark matter (DM) candidate is a fermion transforming chirally under a gauge symmetry are attractive, as the gauge symmetry would protect the DM mass. In such theories, the universe would have undergone a phase…

High Energy Physics - Phenomenology · Physics 2024-08-14 Tomohiro Abe , K. S. Babu , Ajay Kaladharan

Gauge theories and perturbative gravity in four dimensions are governed by a tower of infinite-dimensional symmetries which arise from tree-level soft theorems. However, aside from the leading soft theorems which are all-loop exact,…

High Energy Physics - Theory · Physics 2024-12-24 Sangmin Choi , Alok Laddha , Andrea Puhm

We examine the AdS/CFT correspondence through a manifestly 5D supersymmetric formalism, corresponding to a 4D N=1 supersymmetric CFT. We find that the dimensions of scalar and fermionic component operators are simply related, and that there…

High Energy Physics - Theory · Physics 2009-06-25 G. Cacciapaglia , G. Marandella , J. Terning