scholarly journals Reduced conformal symmetry

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Andreas Karch ◽  
Amir Raz
Keyword(s):  
Conformal Symmetry ◽  
Field Theories ◽  
Conformal Extension ◽  
Conformal Symmetries

Abstract We construct field theories in 2 + 1 dimensions with multiple conformal symmetries acting on only one of the spatial directions. These can be considered a conformal extension to “subsystem scale invariances”, borrowing the language often used for fractons.

scholarly journals NLO critical exponents of O(N) λ ϕ4 scalar field theories in curved spacetime

2019 ◽  
Vol 28 (01) ◽  
pp. 1950024
Author(s):  
H. A. S. Costa ◽  
P. R. S. Carvalho
Keyword(s):  
Scalar Field ◽  
Critical Exponents ◽  
Conformal Symmetry ◽  
Field Theories ◽  
Quantum Corrections ◽  
Leading Order ◽  
Loop Order ◽  
Curved Spacetime ◽  
Flat Spacetime

In this paper, we investigate analytically the conformal symmetry influence on the next-to-leading order radiative quantum corrections to critical exponents for massless O([Formula: see text]) [Formula: see text] scalar field theories in curved spacetime. We renormalize the theory by applying the Bogoliubov–Parasyuk–Hepp–Zimmermann (BPHZ) method. We find that the critical exponents are the same as that of flat spacetime, at least at the loop order considered. We argue that this result agrees perfectly with the universality hypothesis.

scholarly journals HAWKING RADIATION, GRAVITATIONAL ANOMALY, AND CONFORMAL SYMMETRY — THE ORIGIN OF UNIVERSALITY

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2082-2090 ◽  
Author(s):  
SATOSHI ISO
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Conformal Transformation ◽  
Conformal Symmetry ◽  
Black Hole Horizon ◽  
Gravitational Anomaly ◽  
Universal Behavior ◽  
Higher Spin ◽  
Matter Fields ◽  
Conformal Symmetries

The universal behavior of Hawking radiation is originated in the conformal symmetries of matter fields near the black hole horizon. We explain the origin of this universality based on (1) the gravitational anomaly and its higher-spin generalizations and (2) conformal transformation properties of fluxes.

scholarly journals AdS SEGMENT AND HIDDEN CONFORMAL SYMMETRY IN GENERAL NONEXTREMAL BLACK HOLES

2013 ◽  
Vol 22 (06) ◽  
pp. 1350029 ◽  
Author(s):  
HUIQUAN LI
Keyword(s):  
Black Holes ◽  
Conformal Symmetry ◽  
Rindler Space ◽  
Horizon Geometry ◽  
Conformal Symmetries

It is demonstrated that the near-horizon geometry of general nonextremal black holes can be described by a portion of AdS space. We show that the reason why hidden conformal symmetries near horizons of general nonextremal black holes are achieved in previous works is that the near-horizon geometries have been equivalently taken as these AdS segments rather than simply the Rindler space.

scholarly journals On the conformal symmetry of exceptional scalar theories

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Kara Farnsworth ◽  
Kurt Hinterbichler ◽  
Ondřej Hulík
Keyword(s):  
Linear Algebra ◽  
Conformal Symmetry ◽  
Conformal Transformations ◽  
Spacetime Dimension ◽  
Real Form ◽  
Special Linear ◽  
Higher Dimensional ◽  
Lagrangian Form ◽  
Scalar Theories ◽  
Conformal Symmetries

Abstract The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find the Lagrangian form of this symmetry. The special conformal transformations are non-linearly realized on the fields, even though conformal symmetry is unbroken. Commuting the conformal transformations with the extended shift symmetries, we find new symmetries, which when taken together with the conformal and shift symmetries close into a larger algebra. For DBI this larger algebra is the conformal algebra of the higher dimensional bulk in the brane embedding view of DBI. For the special galileon it is a real form of the special linear algebra. We also find the Weyl transformations corresponding to the conformal symmetries, as well as the necessary improvement terms to make the theories Weyl invariant, to second order in the coupling in the DBI case and to lowest order in the coupling in the special galileon case.

scholarly journals The special Galileon as Goldstone of diffeomorphisms

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Diederik Roest
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Sigma Model ◽  
Field Theories ◽  
Linear Sigma Model ◽  
Goldstone Mode ◽  
Coordinate Transformations ◽  
Yang Mills ◽  
Non Linear ◽  
Conformal Symmetries

Abstract The special Galileon stands out amongst scalar field theories due to its soft limits, non-linear symmetries and scattering amplitudes. This prompts the question what the origin of its underlying symmetry is. We show that it is intimately connected to general relativity: the special Galileon is the Goldstone mode of the affine group, consisting of linear coordinate transformations, analogous to the dilaton for conformal symmetries. We construct the corresponding metric, and discuss various relations to gravity, Yang-Mills and the non-linear sigma-model.

NONARCHIMEDEAN CONFORMAL FIELD THEORIES

1989 ◽  
Vol 04 (18) ◽  
pp. 4877-4908 ◽  
Author(s):  
EZER MELZER
Keyword(s):  
Correlation Functions ◽  
Central Charge ◽  
Conformal Symmetry ◽  
Conformal Group ◽  
Field Theories ◽  
Dimensional Euclidean Space ◽  
Conformal Field Theories ◽  
Linear Transformations ◽  
Associative Algebras ◽  
Conformal Field

We present a general formalism for conformal field theories defined on a non-Archimedean field. Such theories are defined by complex-valued correlation functions of fields of a [Formula: see text]-adic variable. Conformal invariance is imposed by requiring the correlation functions to be unchanged under fractional linear transformations, the latter forming the full analogue of the conformal group in two-dimensional, euclidean space-time. All fields in the theory can be taken to be "primary", under the "non-Archimedean conformal group". The conformal symmetry fixes completely the form of all correlation functions, once we are given the weight-spectrum of the theory and the OPE coefficients (which must be the structure constants of certain commutative, associative algebras). We explicitly construct non-Archimedean CFT's having the same weight spectrum as that of Archimedean models of central charge c < 1. The OPE coefficients of these "local" Archimedean and non-Archimedean models are related by adelic formulae.

scholarly journals Five-dimensional non-Lorentzian conformal field theories and their relation to six-dimensions

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
N. Lambert ◽  
A. Lipstein ◽  
R. Mouland ◽  
P. Richmond
Keyword(s):  
Correlation Functions ◽  
Conformal Symmetry ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Dimensional Theory ◽  
Superconformal Field Theories ◽  
Yang Mills ◽  
Conformal Field ◽  
Instanton Number ◽  
Do So

Abstract We study correlation functions in five-dimensional non-Lorentzian theories with an SU(1, 3) conformal symmetry. Examples of such theories have recently been obtained as Ω-deformed Yang-Mills Lagrangians arising from a null reduction of six-dimensional superconformal field theories on a conformally compactified Minkowski space. The correlators exhibit a rich structure with many novel properties compared to conventional correlators in Lorentzian conformal field theories. Moreover, identifying the instanton number with the Fourier mode number of the dimensional reduction offers a hope to formulate six-dimensional conformal field theories in terms of five-dimensional Lagrangian theories. To this end we show that the Fourier decompositions of six-dimensional correlation functions solve the Ward identities of the SU(1, 3) symmetry, although more general solutions are possible. Conversely we illustrate how one can reconstruct six-dimensional correlation functions from those of a five-dimensional theory, and do so explicitly at 2- and 3-points. We also show that, in a suitable decompactification limit Ω → 0, the correlation functions become those of the DLCQ description.

scholarly journals Non-Lorentzian avatars of (1,0) theories

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
N. Lambert ◽  
T. Orchard
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Conformal Symmetry ◽  
Minkowski Spacetime ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Superconformal Field Theories ◽  
Conformal Field

Abstract We construct five-dimensional non-Lorentzian Lagrangian gauge field theories with an SU(1, 3) conformal symmetry and 12 (conformal) supersymmetries. Such theories are interesting in their own right but can arise from six-dimensional (1, 0) superconformal field theories on a conformally compactified Minkowski spacetime. In the limit that the conformal compactification is removed the Lagrangians we find give field theory formulations of DLCQ constructions of six-dimensional (1, 0) conformal field theories.

scholarly journals Instanton worldlines in five-dimensional Ω-deformed gauge theory

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
N. Lambert ◽  
A. Lipstein ◽  
R. Mouland ◽  
P. Richmond
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Wide Class ◽  
Conformal Symmetry ◽  
Constraint Equation ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Explicit Solutions ◽  
Finite Action ◽  
Constraint Surface

Abstract We discuss the Bosonic sector of a class of supersymmetric non-Lorentzian five-dimensional gauge field theories with an SU(1, 3) conformal symmetry. These actions have a Lagrange multiplier which imposes a novel Ω-deformed anti-self-dual gauge field constraint. Using a generalised ’t Hooft ansatz we find the constraint equation linearizes allowing us to construct a wide class of explicit solutions. These include finite action configurations that describe worldlines of anti-instantons which can be created and annihilated. We also describe the dynamics on the constraint surface.

Sign in / Sign up

Export Citation Format

Share Document