Article
Physics, Particles & Fields
Andrea Campoleoni, Simon Pekar
Summary: The study introduces higher-spin algebras containing a Poincare subalgebra and explores their potential as candidate rigid symmetries for higher-spin gauge theories or Carrollian conformal higher-spin symmetries. It also discusses the definition of higher-spin algebras containing a Galilean conformal subalgebra, to be interpreted as non-relativistic limits of the conformal symmetries.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sachin Jain, Renjan Rajan John, Abhishek Mehta, Amin A. Nizami, Adithya Suresh
Summary: In this study, the spinor-helicity formalism is used to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. It is observed that the parity-even and parity-odd parts of a correlator are related in spinor-helicity variables. After converting spinor-helicity answers to momentum space, correlators involving spin-s currents can be expressed in terms of simple conformally invariant conserved structures, allowing for systematic understanding and separation of contact terms, particularly for the parity-odd case. Additionally, some of the correlators are reproduced using weight-shifting operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alexander Soderberg
Summary: In a free theory, two conformal defects merging into another defect results in a non-conformal effective action. This implies that the behavior of these defects changes as we zoom in and out, challenging the ability to describe them solely in terms of other conformal defects. The fusion of defects is proven using the path integral formalism, where the defects are considered as sources for a scalar in the bulk.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Sergei M. Kuzenko, Alec E. Pindur
Summary: This paper describes a five-dimensional analogue of Wigner's operator equation involving the Pauli-Lubanski vector, energy-momentum operator, and helicity of a massless particle. Higher dimensional generalisations are also provided.
Article
Physics, Particles & Fields
Thomas Creutzig, Yasuaki Hikida, Devon Stockal
Summary: In this study, a strong/weak duality between a Heisenberg coset with sl n subregular W-algebra symmetry and a theory with sl(n|1)-structure is examined. Correlator correspondences for a series of generalized duality are derived, as part of a project to realize duality of corner vertex operator algebras proposed by Gaiotto and Rapcak. Another type of duality involving an additional pair of fermions is also examined, which is a natural generalization of the fermionic FZZ-duality.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Evgeny Buchbinder, Benjamin J. Stone
Summary: In this study, the mixed three-point correlation functions of the supercurrent and flavor current in three-dimensional 1 <= N <= 4 superconformal field theories were examined. The results showed that only parity-even structures appeared in the correlation functions, and it was also found that supersymmetry forbids parity-odd structures in three-point functions involving the supercurrent and flavor current multiplets.
Article
Physics, Particles & Fields
L. V. Bork, R. M. Iakhibbaev, N. B. Muzhichkov, E. S. Sozinov
Summary: In this study, properties of four-point colour ordered scattering amplitudes in D = 6 fishnet CFT were investigated, revealing a simple relation to their D = 4 counterparts previously studied in literature. This relation allowed for a closed expression of the amplitudes to be obtained and their behavior at weak and strong coupling to be explored. Additionally, a generating function for on-shell D = 6 Box ladder diagrams with l rungs was derived as a byproduct of this investigation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Kevin Nguyen
Summary: The study focuses on the origin of the effective theory of stress tensor exchanges based on reparametrization modes for computing Virasoro identity blocks efficiently. A derivation of the governing Alekseev-Shatashvili action for these modes is provided, along with an interpretation as the generating functional of stress tensor correlations. The natural emergence of the prescribed rules for computing Virasoro identity blocks is demonstrated when evaluating Feynman diagrams associated with stress tensor exchanges. Additionally, brief comments are made on the connection of these results to gravitational theories and holography.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sachin Jain, Renjan Rajan John
Summary: This paper investigates the relation between the parity-odd and parity-even parts of correlation functions in theories with conserved or weakly broken higher spin symmetries, as well as their connection to the parity-even part computed from free theories. The well-known link between CFT correlation functions and de-Sitter amplitudes in one higher dimension implies a connection between parity-even and parity-odd amplitudes calculated using non-minimal interactions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
N. Lambert, R. Mouland, T. Orchard
Summary: The article discusses non-Lorentzian Lagrangian field theories in 2n - 1 dimensions with an SU(1, n) spacetime symmetry that includes a scaling transformation. These theories can be obtained through conformal compactification of a 2n-dimensional Minkowskian conformal field theory. It covers topics such as symmetry algebra, representations including primary fields, unitarity bounds, examples of free theories in different dimensions, and the reconstruction of the parent 2n-dimensional theory.
FRONTIERS IN PHYSICS
(2022)
Article
Physics, Multidisciplinary
Pablo Bueno, Pablo A. Cano, Angel Murcia, Alberto Rivadulla Sanchez
Summary: This article discusses the natural generalization of Renyi entropies in the presence of global symmetries, particularly the relationship between charged Renyi entropies and chemical potential. For a general conformal field theory, the correction to charged entanglement entropy across a spherical surface is quadratic in the chemical potential and universally controlled by specific coefficients.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Sarah Hoback, Sarthak Parikh
Summary: A recent discovery has shown an interesting dimensional reduction relation, expressing lower-dimensional CFT conformal blocks as linear combinations of higher-dimensional CFT blocks, extended to all high-point blocks restricted to scalar exchanges. The constant coefficients involved exhibit a factorization property that can be determined through certain Feynman-like rules and associated vertex and edge factors. This method can potentially be used for arbitrary-point dimensional reduction of conformal blocks with spinning exchanges as well.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Jyotirmoy Mukherjee
Summary: The character integral representation of one loop partition functions is used to establish relations between partition functions of conformal fields on Weyl equivalent spaces. Through specific examples, it is shown that partition functions of different fields can be identical under certain conditions. Similar partition patterns were also observed in conformal p-form fields.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Emir Syahreza Fadhilla, Bobby Eka Gunara, Ardian Nata Atmaja
Summary: In this study, we investigate the BPS submodels of the higher dimensional Skyrme model and their properties. Two possible BPS submodels, the BPS Skyrme model and the scale-invariant model, are found. The first submodel supports BPS Skyrmions with B >= 1, while the second submodel only has B = 1 BPS Skyrmion. The scale-invariant model exhibits a stronger self-duality condition compared to the BPS Skyrme model.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Luis F. Alday, Shai M. Chester
Summary: This article discusses graviton scattering in maximal supergravity and investigates the one-loop correction of the corresponding conformal field theory in AdS space. The research finds that for certain dimensions, the correction saturates the conformal bootstrap bounds, while the corrections in conformal field theories with string and M-theory duals lie within the allowed region.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Edoardo Lauria, Marco Meineri, Emilio Trevisani
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Marco Meineri, Joao Penedones, Antonin Rousset
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Agnese Bissi, Parijat Dey, Tobias Hansen
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Denis Karateev, Simon Kuhn, Joao Penedones
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Joao Penedones, Joao A. Silva, Alexander Zhiboedov
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Marten Reehorst, Emilio Trevisani, Alessandro Vichi
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Parijat Dey, Tobias Hansen, Mykola Shpot
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
Summary: In this study, perturbative RG analysis was revisited in the replicated Landau-Ginzburg description of the Random Field Ising Model near the upper critical dimension. The study identified two perturbations that become relevant below a critical dimension, supporting the scenario of the SUSY fixed point existing for all dimensions greater than 3 but becoming unstable for dimensions below a certain critical value.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Antonio Antunes, Miguel S. Costa, Tobias Hansen, Aaditya Salgarkar, Sourav Sarkar
Summary: We derive an optical theorem for perturbative CFTs that computes the double discontinuity of conformal correlators by analyzing lower order correlators, similar to the optical theorem for flat space scattering amplitudes. This theorem takes a purely multiplicative form in the CFT impact parameter representation for high-energy scattering in the dual AdS theory. Through studying the four-point correlation functions dominated by graviton Regge trajectory exchange in the dual theory, we also derive constraints on one-loop vertex function for type IIB strings in AdS and general spinning tree level type IIB amplitudes in AdS.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Andrea Guerrieri, Joao Penedones, Pedro Vieira
Summary: The study employs S-matrix bootstrap to investigate graviton scattering amplitudes in ten dimensions, leading to the exclusion of a negative region, approval of a garden region, and the exclusion of an intermediate swamp region. Interestingly, string theory appears to cover almost all the garden region at weak coupling and the swamp boundary at strong coupling.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Sabrina Pasterski, Andrea Puhm, Emilio Trevisani
Summary: Celestial diamonds encode the global conformal multiplets in 2D celestial CFT and provide a natural language for describing the conformally soft sector. Conformally soft charges can be expressed in terms of light ray integrals selecting modes of appropriate conformal weights. The top corners of Goldstone diamonds correspond to conformal Faddeev-Kulish dressings, and computing sub-leading conformally soft dressings is crucial for discovering nontrivial central extensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sabrina Pasterski, Andrea Puhm, Emilio Trevisani
Summary: The author examined the structure of global conformal multiplets in 2D celestial CFT, classifying and constructing all SL(2, C) primary descendants for a 4D bulk theory with massless particles of spin s = {0, 1/2, 1/3, 2/2}. This explicit construction was achieved using a wavefunction-based approach to map 4D scattering amplitudes to celestial CFT correlators of operators with SL(2, C) conformal dimension increment and spin J.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
Summary: According to the Parisi-Sourlas conjecture, the critical point of a theory with random field disorder can be described by a supersymmetric conformal field theory. Numerical studies confirm this conjecture for the RF phi(3) model, but not for the RF phi(4) model in dimensions d < 5. In this study, we argue that the failure to reach the SUSY fixed point is due to new relevant SUSY-breaking interactions.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Marc Gillioz, Marco Meineri, Joao Penedones
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
JOURNAL OF HIGH ENERGY PHYSICS
(2020)