Article
Astronomy & Astrophysics
Debasish Banerjee, Shailesh Chandrasekharan
Summary: This work focuses on computing the conformal dimensions of local fields in an SU(2) x SU(2) irreducible representation at the O(4) Wilson-Fisher fixed point using the Monte Carlo method. The results show the relationship between the dimensions of the leading and subleading sectors in the large charge expansion, providing numerical values for certain contributions.
Review
Physics, Multidisciplinary
Johan Henriksson
Summary: The critical O(N) CFT, occurring in spacetime dimensions 2 < d < 4, is a significant example of a conformal field theory, with the Ising CFT at N = 1, 2 <= d < 4, as a notable instance. Besides its many physical applications, it serves as a practical platform for testing new approaches and techniques based on conformal symmetry. Various conformal data have been computed in perturbative limits, such as the 4 - epsilon expansion, the large N expansion, and the 2+epsilon similar to expansion. This report provides an overview of the critical O(N) CFT, discusses methods for studying it, and presents a comprehensive collection of conformal data, including additional computations of order epsilon anomalous dimensions available in an ancillary data file.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2023)
Article
Physics, Particles & Fields
Damon J. Binder
Summary: By studying the renormalization group flow between N coupled Ising models in the UV and the cubic fixed point in the IR, the research investigates the large N behavior of the cubic fixed points in three dimensions. Through deriving a diagrammatic expansion for the 1/N corrections to correlation functions, the leading large N corrections to conformal dimensions at the cubic fixed point are evaluated using numerical conformal bootstrap data for the 3d Ising model.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
M. Beccaria, S. Giombi, A. A. Tseytlin
Summary: The paper investigates the generalized Wilson loop operator in the N = 4 SYM theory, focusing on its beta function and Wilson loop expectation value. By generalizing previous results, the study considers arbitrary representations of the gauge group and goes beyond the planar limit. It is found that in a specific limit, the generalized Wilson loop reduces to a purely scalar line operator. The computation of the beta function and circular loop expectation value in this limit provides constraints on the structure of the beta function for general representations.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Particles & Fields
Chi-Ming Chang, Sean Colin-Ellerin, Cheng Peng, Mukund Rangamani
Summary: This study investigates a three-dimensional disordered supersymmetric field theory, showing that the theory flows to a strongly coupled superconformal fixed point in the infra-red. The research obtains leading large N spectral data and operator product coefficients at the critical point, and demonstrates consistency with general expectations through comparisons with results derived in the conformal bootstrap program.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Julien Barrat, Pedro Liendo, Jan Plefka
Summary: We study the two-point function of the stress-tensor multiplet of N = 4 SYM in the presence of a line defect, obtaining results up to next-to-leading order in the coupling constant using a combination of perturbation theory and defect CFT techniques. We present a closed-form formula for the defect CFT data and use our analysis to check against well-known data of N = 4 SYM, recovering correct anomalous dimensions and comparing one-point function results.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Yuhan Liu, Yijian Zou, Shinsei Ryu
Summary: This paper proposes a method to compute the OPE coefficients of a quantum spin chain using wave-function overlaps and finds that all conformal data can be encoded in these overlaps. The method is validated in the Ising and XXZ models.
Article
Astronomy & Astrophysics
Tsutomu Ishikawa, Katsumasa Nakayama, Kei Suzuki
Summary: The study demonstrates the appearance of the Kondo effect for massless Wilson fermions and a coexistence phase with both the light-fermion scalar condensate and Kondo condensate. For negative-mass Wilson fermions, the Kondo effect is favored near the parameter region realizing the Aoki phase.
Review
Physics, Multidisciplinary
Shai M. Chester
Summary: These lectures aim to familiarize students with the nuts and bolts of numerical bootstrap in an efficient manner, covering the basics of conformal field theory, computation of conformal blocks, formulation of crossing equations as a semi-definite programming problem, solving the problem using SDPB, and interpretation of the results. The lectures include worked examples and problem sets to help students master the skills, culminating in a precise computation of the critical exponents of the 3d Ising model.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2023)
Article
Physics, Particles & Fields
Hugh Osborn, Andreas Stergiou
Summary: The tensorial equations for non trivial fully interacting fixed points are analyzed for N-component fields with symmetric tensor couplings. Large numbers of irrational fixed points are found numerically, but no solutions saturating the bound are discovered. These examples generally lack unique quadratic invariants in the fields.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Dario Benedetti
Summary: This study demonstrates the instability in d-dimensional conformal field theories, related to a tachyonic instability in AdS/CFT theory and violation of the Breitenlohner-Freedman bound in AdS(d+1). By applying harmonic analysis for the Euclidean conformal group, the instability for d-dimensional CFTs derived directly for multiscalar quantum field theory limits.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Matthew T. Dowens, Chris A. Hooley
Summary: The future utility of modern numerical conformal bootstrap relies heavily on accurately predicting the existence of previously unknown non-trivial conformal field theories (CFTs). This study investigates the possibility of predicting such theories when the global symmetry group has a product structure. The results suggest that the large-N antichiral theory lies outside the region of acceptance in the chosen space of scaling dimensions, consistent with its instability.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Francesco Galvagno, Michelangelo Preti
Summary: This study completes the program on perturbative approaches for N = 2 superconformal quiver theories in four dimensions by evaluating observables in the presence of Wilson loops using supersymmetric localization. Various calculations were done, including Wilson loop vacuum expectation values, correlators of multiple coincident Wilson loops, and one-point functions of chiral operators as superconformal defects. The analysis is extended to the most general case considering chiral operators and multiple Wilson loops scattered among the vector multiplets of the quiver, identifying twisted and untwisted observables to probe the AdS(5) x S-5 orbifold for possible holographic perspectives.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Review
Physics, Multidisciplinary
Henriette Elvang
Summary: This article introduces two highly active research programs, conformal Bootstrap and scattering amplitudes, focusing on the common ideas and methods shared by these two programs, and exploring the possibility of consistent quantum field theories.
REPORTS ON PROGRESS IN PHYSICS
(2021)
Article
Physics, Particles & Fields
Pedro Liendo, Junchen Rong
Summary: The study focuses on searching for fixed points of 2+1 dimensional N=1 Wess-Zumino models of scalar superfields interacting through a cubic superpotential using the 4-epsilon expansion. Different classifications and analyses of fixed points in cases of N-Phi = 3, 4, and 5 are conducted, with a particular emphasis on irreducible fixed points where scalar superfields form a single irreducible representation of the symmetry group.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
David Poland, Slava Rychkov, Alessandro Vichi
REVIEWS OF MODERN PHYSICS
(2019)
Article
Physics, Particles & Fields
Simao Meneses, Joao Penedones, Slava Rychkov, J. M. Viana Parente Lopes, Pierre Yvernay
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Damon J. Binder, Slava Rychkov
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Petr Kravchuk, Jiaxin Qiao, Slava Rychkov
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Alessandro Giuliani, Vieri Mastropietro, Slava Rychkov
Summary: The Renormalization Group (RG) theory plays a crucial role in understanding critical phenomena, but the determination of its fixed points often relies on approximations and truncations, leading to limited accuracy in predicting physical quantities. This study provides a fully rigorous and non-perturbative characterization of RG fixed points in a model with a nonlocal kinetic term, offering a benchmark to test the validity of truncations and approximations in RG studies. Additionally, the analytic nature of the fixed point in epsilon, based on the fermionic nature of the problem, is a somewhat surprising discovery.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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
Petr Kravchuk, Jiaxin Qiao, Slava Rychkov
Summary: This paper investigates scalar primary Wightman 4-point functions in Lorentzian signature, deriving their properties solely from Euclidean unitary CFT axioms, including Wightman axioms and Lorentzian conformal invariance. The study constructsively establishes key facts about the s-channel Lorentzian OPE and provides a guide to axiomatic QFT literature for modern CFT audience.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Marten Reehorst, Slava Rychkov, David Simmons-Duffin, Benoit Sirois, Ning Su, Balt van Rees
Summary: The authors introduce a new method for searching theory space by replacing binary information with a continuous navigator function. This allows for efficient exploration of high-dimensional parameter spaces and smooth sailing towards potential islands in the space, utilizing standard methods and efficient optimization techniques.
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, Multidisciplinary
Tom Kennedy, Slava Rychkov
Summary: This study focuses on the rigorous renormalization group (RG) maps for tensor networks, especially for the 2D Ising model at low temperatures. The researchers construct a RG map that has two stable fixed points representing the ground states and one unstable fixed point, a discontinuity fixed point. The RG map flows to a stable fixed point if the magnetic field is non-zero and to the discontinuity fixed point if the magnetic field is zero. The researchers also discuss the inclusion of small terms in the Hamiltonian and prove that there is a critical value of the field at which the RG map flows to the discontinuity fixed point.
ANNALES HENRI POINCARE
(2023)
Article
Physics, Mathematical
Sridip Pal, Jiaxin Qiao, Slava Rychkov
Summary: We prove that a twist gap in the OPE spectrum implies the existence of quasiprimary operators with infinite spins and twists in a unitary CFT and a similar result holds in a two-dimensional Virasoro-invariant, modular-invariant, unitary CFT. We propose a general formulation of the lightcone bootstrap and summarize the similarity between the two problems.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Astronomy & Astrophysics
Slava Rychkov
COMPTES RENDUS PHYSIQUE
(2020)
Article
Physics, Particles & Fields
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Slava Rychkov, Andreas Stergiou
Article
Physics, Multidisciplinary
Victor Gorbenko, Slava Rychkov, Bernardo Zan
