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1. Full Text Solving the 3d Ising Model with the Conformal Bootstrap II. -Minimization and Precise Critical Exponents
by El-Showk, S and Paulos, MF and Poland, D and Rychkov, S and Simmons-Duffin, D and Vichi, A
JOURNAL OF STATISTICAL PHYSICS, ISSN 0022-4715, 12/2014, Volume 157, Issue 4-5, pp. 869 - 914
We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum... 
Conformal invariance | Ising Model | UNITARITY | Stress tensor | Critical phenomena | Central charge | PHYSICS, MATHEMATICAL | Critical exponents
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2. Full Text Configurations of FK Ising interfaces and hypergeometric SLE
by Kemppainen, Antti and Smirnov, Stanislav
Mathematical Research Letters, ISSN 1073-2780, 2018, Volume 25, Issue 3, pp. 875 - 889
In this paper, we show that the interfaces in the FK Ising model at criticality in a domain with 4 marked boundary points and wired-free-wired-free boundary... 
MATHEMATICS | CONFORMAL-INVARIANCE | SCALING LIMITS
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3. The decomposition of global conformal invariants
by Alexakis, Spyros, 1978
2012, 1, Annals of mathematics studies, ISBN 0691153485, Volume no. 182, vi, 448
This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study... 
Conformal invariants | Decomposition (Mathematics) | Mathematics | Geometry | PBMP | Differential | Math
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4. The ambient metric
by Fefferman, Charles, 1949 and Graham, C. Robin, 1954
2012, 1, Annals of mathematics studies, ISBN 9780691153148, Volume no. 178, 111
This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class... 
Conformal invariants | Conformal geometry | Mathematics | Geometry
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5. Full Text Weyl Invariance of String Theories in Generalized Supergravity Backgrounds
by Fernández-Melgarejo, José J and Sakamoto, Jun-Ichi and Sakatani, Yuho and Yoshida, Kentaroh
Physical Review Letters, ISSN 0031-9007, 03/2019, Volume 122, Issue 11, p. 111602
We revisit Weyl invariance string theories in generalized supergravity backgrounds. A possible counterterm was constructed in a work by Sakamoto, Sakatani, and... 
CONFORMAL-INVARIANCE | SCALE | PHYSICS, MULTIDISCIPLINARY | T-DUALITY | Supergravity | Invariance
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6. Full Text Scale invariance of the eta-deformed AdS(5) x S-5 superstring, T-duality and modified type II equations
by Arutyunov, G and Frolov, S and Hoare, B and Roiban, R and Tseytlin, AA
NUCLEAR PHYSICS B, ISSN 0550-3213, 02/2016, Volume 903, pp. 262 - 303
We consider the ABF background underlying the eta-deformed AdS(5) x S-5 sigma model. This background fails to satisfy the standard IIB supergravity equations... 
SUPERGRAVITY | CONFORMAL-INVARIANCE | BACKGROUND FIELDS | MOTION | DEFORMATIONS | NONLINEAR SIGMA-MODELS | WEYL INVARIANCE | OPERATORS | STRING THEORY | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS
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7. Full Text Generalized mutual information of quantum critical chains
by Alcaraz, F.C and Rajabpour, M.A
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 04/2015, Volume 91, Issue 15
We study the generalized mutual information (I) over tilde (n) of the ground state of different critical quantum chains. The generalized mutual information... 
PHYSICS, CONDENSED MATTER | SYSTEMS | CONFORMAL-INVARIANCE | SPIN MODELS
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8. Full Text Geometrical clusters of Darcy’s reservoir model and Ising universality class
by Najafi, M.N and Ghaedi, M
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2015, Volume 427, pp. 82 - 91
In this paper the geometrical features of the fluid propagation in two-dimensional petroleum reservoir described by Darcy equations are studied. The porous... 
Darcy equations | Ising universality class | Conformal invariance
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9. Full Text The alpha-theorem and the asymptotics of 4D quantum field theory
by Luty, MA and Polchinski, J and Rattazzi, R
JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 01/2013, Issue 1
We study the possible IR and UV asymptotics of 4D Lorentz invariant unitary quantum field theory. Our main tool is a generalization of the... 
ENERGY | Space-Time Symmetries | CONFORMAL-INVARIANCE | Anomalies in Field and String Theories | C-THEOREM | Renormalization Group | SCALE | DIMENSIONAL REGULARIZATION | PHYSICS, PARTICLES & FIELDS
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10. Full Text Scale invariance vs conformal invariance
by Nakayama, Yu
Physics Reports, ISSN 0370-1573, 03/2015, Volume 569, pp. 1 - 93
In this review article, we discuss the distinction and possible equivalence between scale invariance and conformal invariance in relativistic quantum field... 
Holography | Scale invariance | Conformal invariance | Renormalization group | PHYSICS, MULTIDISCIPLINARY | C-THEOREM | TRACE ANOMALIES | CONSERVED-CURRENTS | STRING THEORY | ENTANGLEMENT ENTROPY | PERTURBATION-THEORY | ENERGY-MOMENTUM TENSOR | NONLOCAL ACTION | IN-FIELD THEORIES | LOCAL RENORMALIZATION-GROUP
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11. Full Text Solving the 3d ising model with the conformal bootstrap II. c-Minimization and precise critical exponents
by El-Showk, Sheer and Paulos, Miguel F and Poland, David and Rychkov, Slava and Simmons-Duffin, David and Vichi, Alessandro
Journal of Statistical Physics, ISSN 0022-4715, 10/2014, Volume 157, Issue 4-5, pp. 869 - 914
We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum... 
Stress tensor | Conformal invariance | Ising Model | Central charge | Critical phenomena | Critical exponents
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12. Full Text Rate of Convergence for Cardy's Formula
by Mendelson, Dana and Nachmias, Asaf and Watson, Samuel S
Communications in Mathematical Physics, ISSN 0010-3616, 2014, Volume 329, Issue 1, pp. 29 - 56
We show that crossing probabilities in 2D critical site percolation on the triangular lattice in a piecewise analytic Jordan domain converge with power law... 
ISING-MODEL | CONFORMAL-INVARIANCE | PHYSICS, MATHEMATICAL | PERCOLATION
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13. Full Text Distinguishing the higgs Boson from the dilaton at the large Hadron collider
by Goldberger, Walter D and Grinstein, Benjamín and Skiba, Witold
Physical Review Letters, ISSN 0031-9007, 03/2008, Volume 100, Issue 11, p. 111802
It is likely that the LHC will observe a color- and charge-neutral scalar whose decays are consistent with those of the standard model (SM) Higgs boson. The... 
PHYSICS, MULTIDISCIPLINARY | SEARCH | MODEL | CERN LHC | CONFORMAL INVARIANCE | STANDARD MODEL | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | COLOR MODEL | HIGGS BOSONS | SYMMETRY BREAKING | GOLDSTONE BOSONS | HIGGS MODEL
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14. Full Text Two-Dimensional Turbulence
by Boffetta, Guido and Ecke, Robert E
Annual Review of Fluid Mechanics, ISSN 0066-4189, 1/2012, Volume 44, Issue 1, pp. 427 - 451
In physical systems, a reduction in dimensionality often leads to exciting new phenomena. Here we discuss the novel effects arising from the consideration of... 
enstrophy flux | palinstrophy | conformal invariance | friction drag | energy flux | Palinstrophy | Conformal invariance | Enstrophy flux | Energy flux | Friction drag | PHYSICS, FLUIDS & PLASMAS | 2D TURBULENCE | FORCED TURBULENCE | TWO-DIMENSIONAL TURBULENCE | DIRECT NUMERICAL-SIMULATION | MECHANICS | HOMOGENEOUS TURBULENCE | ENSTROPHY CASCADE | INVERSE ENERGY CASCADE | SOAP FILMS | INERTIAL-RANGE | COHERENT STRUCTURES | Usage | Turbulence | Analysis | Geophysics | Pictures | Fluids | Turbulent flow | Computational fluid dynamics | Cascades | Fluid flow | Three dimensional
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15. Full Text Viscosity bound and causality violation
by Brigante, Mauro and Liu, Hong and Myers, Robert C and Shenker, Stephen and Yaida, Sho
Physical Review Letters, ISSN 0031-9007, 05/2008, Volume 100, Issue 19, p. 191601
In recent work we showed that, for a class of conformal field theories (CFT) with Gauss-Bonnet gravity dual, the shear viscosity to entropy density ratio,... 
PHYSICS, MULTIDISCIPLINARY | TERMS | CONFORMAL INVARIANCE | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CAUSALITY | GRAVITATION | QUANTUM FIELD THEORY | VIOLATIONS | ENTROPY
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16. Full Text Holographic c-theorems in arbitrary dimensions
by Myers, Robert C and Sinha, Aninda
Journal of High Energy Physics, ISSN 1126-6708, 1/2011, Volume 2011, Issue 1, pp. 1 - 53
We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We... 
Holography and condensed matter physics (AdS/CMT) | AdS-CFT Correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | AdS-CFT correspondence | Renormalization group | BLACK-HOLE ENTROPY | ENERGY | THERMAL PARTITION-FUNCTION | FIELD-THEORIES | ENTANGLEMENT ENTROPY | CONFORMAL-INVARIANCE | HIGHER-DERIVATIVE GRAVITY | CONSTRAINTS | POSITIVITY | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS
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17. Full Text Extended scalar-tensor theories of gravity
by Crisostomi, Marco and Koyama, Kazuya and Tasinato, Gianmassimo
Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, 04/2016, Volume 2016, Issue 4, pp. 44 - 44
We study new consistent scalar-tensor theories of gravity recently introduced by Langlois and Noui with potentially interesting cosmological applications. We... 
Modified gravity | Gravity | modified gravity | gravity | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | astro-ph.CO | hep-th | dk/atira/pure/core/subjects/cosmology | Cosmology and Gravitation | gr-qc | High Energy Physics - Theory | Astrophysics - Cosmology and Nongalactic Astrophysics | CONFORMAL INVARIANCE | COSMOLOGY | NONLUMINOUS MATTER | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EQUATIONS OF MOTION | SCALAR FIELDS | MATHEMATICAL OPERATORS | GRAVITATION | QUANTUM FIELD THEORY
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