Article
Physics, Particles & Fields
Krai Cheamsawat, Sebastian Fischetti, Lucas Wallis, Toby Wiseman
Summary: The behavior of the vacuum free energy of various (2+1)-dimensional CFTs on an ultrastatic spacetime as a function of spatial geometry was compared, showing qualitative similarity between the free theories and a remarkable quantitative similarity between holographic CFT and the free fermion. The holographic CFT, despite being strongly-coupled, differs from the fermion by less than one percent over a wide range of deformations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Pablo Bueno, Horacio Casini, Oscar Lasso Andino, Javier Moreno
Summary: This paper discusses the entanglement entropy of smooth regions in general three-dimensional CFTs and its properties, such as F and RG monotonicity. The results show that F has a complex relationship with different theories and geometric shapes of the region, but for small geometric deformations of the disk region, F is minimized by disks. The proof utilizes strong subadditivity of entanglement entropy and the geometric fact that an osculating circle can always be placed within a given smooth entangling region.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Elena Caceres, Arnab Kundu, Ayan K. Patra, Sanjit Shashi
Summary: This research focuses on the analytic continuations of holographic renormalization group (RG) flows beyond their infrared (IR) fixed points, which provide a natural framework for describing physics inside black holes. The study constructs a monotonic holographic a-function for counting degrees of freedom along a trans-IR flow. It is argued that the degrees of freedom become sparse and vanish when reaching a trans-IR endpoint represented by a Kasner singularity. Furthermore, the research demonstrates that entanglement and complexity from volume are generally insufficient in probing the trans-IR flows, while 2-point correlations and complexity from action are complementary and more effective in this regard.
Article
Physics, Particles & Fields
Dalimil Mazac, Leonardo Rastelli, Xinan Zhou
Summary: An analytic approach to the four-point crossing equation in CFT is developed for general spacetime dimension. The study identifies a useful basis for complex analytic functions in two variables, related to double-twist operators in mean field theory. The basis of functionals appears to be closely related to the CFT dispersion relation recently derived by Carmi and Caron-Huot.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli, David Simmons-Duffin
Summary: This paper provides a unified treatment of dispersive sum rules for four-point correlators in conformal field theory. The different methods discussed in the paper can be mapped into one another, leading to completely equivalent sum rules. Non-negative sum rules are constructed above the double-twist gap.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Adam Bzowski, Paul McFadden, Kostas Skenderis
Summary: The general solution of the conformal Ward identities for scalar n-point functions in momentum space and general dimension is found, which involves integrals over (n - 1)-simplices. The correlators exhibit a recursive structure when the function of cross ratios is a monomial.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Simone Giombi, Himanshu Khanchandani, Xinan Zhou
Summary: In this study, conformal field theories on the real projective space RPd were analyzed, focusing on the two-point functions of scalar operators. Based on calculations of Witten diagrams on the quotient space AdS(d+1)/Z(2), an analytic approach to two-point functions was developed by converting the structure of conformal block decomposition into specific sum rules.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
Junkai Dong, Thomas Hartman, Yikun Jiang
Summary: In this study, WZW models living on a moduli space parameterized by current-current deformations were explored, revealing the ensemble of conformal field theories and their impact on conserved currents and central charge. The average partition function was calculated and interpreted as a sum over 3-manifolds, suggesting a holographic dual for the ensemble-averaged theory. At a perturbative level, the bulk theory was identified as U(1)(2N) Chern-Simons theory coupled to additional matter fields, with a key mathematical result being the Siegel-Weil formula for the characters of an affine Lie algebra.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Kevin Nguyen
Summary: The study examines the generating functional of stress tensor correlation functions in two-dimensional conformal field theory, reviewing the holographic derivation within the AdS(3)/CFT2 correspondence and comparing it with the Hamiltonian reduction of three-dimensional gravity to a flat Liouville theory. It also discusses the re-interpretation of the computation of black hole spectral statistics as an explicit averaging of the partition function over the boundary source geometry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Burkhard Eden, Dennis le Plat, Alessandro Sfondrini
Summary: The study proposes an integrable bootstrap framework for computing correlation functions for superstrings in AdS(3) x S-3 x T-4 backgrounds, extending the hexagon tessellation approach. The framework's applicability to less supersymmetric setups is demonstrated, along with its ability to satisfy non-trivial consistency conditions. Possible applications include the study of wrapping corrections, higher-point correlation functions, and non-planar corrections.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli, David Simmons-Duffin
Summary: The paper proves a long-standing conjecture that any CFT with a large central charge and a large gap Delta(gap) in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. The authors derive numerical bounds on bulk Wilson coefficients in terms of Delta(gap) using the conformal bootstrap, and show how AdS(4) naturally resolves the infrared divergences present in 4D flat-space bounds. The results imply the validity of twice-subtracted dispersion relations for any S-matrix arising from the flat-space limit of AdS/CFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Pawel Caputa, Shouvik Datta, Yunfeng Jiang, Per Kraus
Summary: The TT deformation is formulated as a dynamical change of coordinates, generalized to curved spaces by coupling the undeformed theory to 2d gravity. The dynamical change of coordinates in curved space is supplemented by a dynamical Weyl transformation. The holographic correspondence to cutoff AdS(3) is sharpened by showing the action of the annular region can be given precisely by the TT operator integrated over either the cutoff surface or the asymptotic boundary, deriving dynamical coordinate and Weyl transformations directly from the bulk, and reproducing the flow equation for the deformed stress tensor from the cutoff geometry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Pablo Bueno, Javier M. Magan, C. S. Shahbazi
Summary: We have found that inhomogeneous cost functions are unrelated to circuit complexity, while selecting metrics that provide the tightest possible lower bounds helps reduce the list of candidate complexity measures. Assigning infinite costs to directions not belonging to the gate set, among other methods, can reduce unnecessary calculations.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
Summary: By defining circuits based on unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions, we are able to generalize formulas for circuit complexity starting from spinning primary states. These results are effectively replicated through the geometry of coadjoint orbits of the conformal group. However, unlike the complexity geometry derived from scalar primary states, the geometry derived from spinning primary states is more intricate and the presence of conjugate points signaling complexity saturation is still unknown.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Parijat Dey, Nirmalya Kajuri
Summary: This study investigates the relationship between the global/Poincare and AdS-Rindler representations in AdS(2), showing that they are related by conformal transformations. It also demonstrates the connection between global modes and AdS-Rindler modes through the Bogoliubov transformation, using boundary representations of creation and annihilation operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)