Article
Physics, Particles & Fields
Pankaj Chaturvedi, Ioannis Papadimitriou, Wei Song, Boyang Yu
Summary: Through the study of new boundary conditions, we find that near extremality AdS(3) gravity exhibits the same symmetry breaking pattern as the Sachdev-Ye-Kitaev models.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Hanno Bertle, Andrea Dei, Matthias R. Gaberdiel
Summary: This study establishes the AdS/CFT duality for the large N limit of symmetric orbifold theories using an sl(2, ) WZW model as the world-sheet description. By calculating certain 2- and 3-point functions of the corresponding vertex operator, it is demonstrated that the amplitudes exactly reproduce the expected results from the dual symmetric orbifold perspective.
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
Liangyu Chen, Huajia Wang
Summary: This paper investigates the linear responses of mutual information between two spheres in conformal field theory under shape deformation. The results show a high degree of universality in the linear responses and imply that the spherical mutual information is extremal over shape deformations of non-zero modes.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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)
Article
Physics, Particles & Fields
Igal Arav, K. C. Matthew Cheung, Jerome P. Gauntlett, Matthew M. Roberts, Christopher Rosen
Summary: In this paper, we construct infinite new classes of AdS(4)× S(1)× S-5 solutions of type IIB string theory with non-trivial SL(2, Z) monodromy along the S-1 direction, which are supersymmetric and dual to N = 1 SCFTs in d = 3. These solutions arise as limiting cases of Janus solutions of d = 4, N = 4 SYM theory, supported by different values of coupling constant on each side of the interface, as well as by fermion and boson mass deformations.
JOURNAL OF HIGH ENERGY PHYSICS
(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
Hiroshi Isono, Hoiki Madison Liu, Toshifumi Noumi
Summary: This study focuses on the oscillation behavior of wavefunctions of heavy scalar fields on de Sitter spacetime, exploring their implications for dS/CFT correspondence. It is found that the quadratic term in the wavefunction of heavy fields does not follow a simple scaling, and should be interpreted as a two-point function on a cyclic RG flow obtained by double-trace deformations. Additionally, a new dS/CFT dictionary is provided linking de Sitter two-point functions and conformal two-point functions in the potential dual CFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Agnese Bissi, Giulia Fardelli, Alessandro Georgoudis
Summary: A set of structures appearing in the four-point function of protected operators in N = 4 super Yang-Mills with SU(N) gauge group was computed at any order in a large N expansion, determined solely by leading order CFT data. By focusing on a specific limit, a connection was made with the dual supergravity amplitude in flat space, where these structures correspond to iterated s-cuts. Several checks were performed and it was conjectured that the same interpretation holds for supergravity amplitudes on AdS(5) x S-5.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
Sujay K. Ashok, Songyuan Li, Jan Troost
Summary: The study examines AdS(3) x S-1 x Y supersymmetric string theory backgrounds with Neveu-Schwarz-Neveu-Schwarz flux, and finds a universal form for the structure constants of space-time chiral ring operators, which depends solely on the topological data of the N = 2 superconformal theory on Y.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sujay K. Ashok, Jan Troost
Summary: This study focuses on finite temperature string scale AdS(3) backgrounds, examining the properties and algebraic relationships of backgrounds like AdS(3) x S-1 x T-2 and AdS(3) x S(1) in string theory. The research also verifies the characteristic properties and density of states of the system under different conditions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Matthias R. Gaberdiel, Beat Nairz
Summary: The BPS correlators of the symmetric product orbifold Sym(N) (T-4) are reproduced from the dual worldsheet theory describing strings on AdS(3) x S-3 x T-4 with minimal (k = 1) NS-NS flux. Specifically, the worldsheet duals of the symmetric orbifold BPS states can be identified with their lift to the covering surface, making the matching of the correlators manifest. The argument can also be generalized to arbitrary descendants using suitable DDF operators on the worldsheet.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Faizan Bhat, Rajesh Gopakumar, Pronobesh Maity, Bharathkumar Radhakrishnan
Summary: This paper proposes a worldsheet dual to free N = 4 Super Yang-Mills in AdS(5) using twistor variables, drawing parallels to the dual for the free symmetric orbifold CFT in AdS(3). Holomorphic covering maps are central in determining correlators and are related to Feynman diagrams. Further generalizations to AdS(5) are made by introducing stringy incidence relations and reality conditions for the twistor covering maps, providing explicit constructions for covering maps in special kinematic configurations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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
Zhijin Li, David Poland
Summary: The study provides preliminary evidence that a class of gauged fermionic CFTs can potentially be solved with the conformal bootstrap and satisfy bootstrap bounds. The research demonstrates that the critical O(N) vector models in 3D satisfy the bootstrap bounds and are associated with kinks approaching = 1/2 at large N. Additionally, the bootstrap bounds also include another infinite family of kinks TD, which approach solutions containing free fermion bilinears at = D - 1 as N becomes large.
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
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, Particles & Fields
Rajeev S. Erramilli, Luca Iliesiu, Petr Kravchuk, Walter Landry, David Poland, David Simmons-Duffin
Summary: The software blocks_3d is introduced for computing four-point conformal blocks in 3d CFTs, utilizing Zamolodchikov-like recursion relations for numerical computations. Performance benchmarks are provided for correlators with scalars, fermions, and stress tensors. As an example application, bootstrap bounds on four-point functions of fermions are recomputed to investigate a previously observed jump, concluding that the fake primary effect cannot fully explain it and suggesting further study on the possible existence of a dead-end CFT near the jump.
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, Particles & Fields
Alexander Atanasov, Aaron Hillman, David Poland, Junchen Rong, Ning Su
Summary: In this paper, we present an improved determination of scaling dimensions and OPE coefficients for the minimal supersymmetric extension of the 3d Ising model using the conformal bootstrap. We also demonstrate how this data can be utilized in the Lorentzian inversion formula to achieve good agreement between analytical calculations and numerical extremal spectra once mixing effects are resolved.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Rajeev S. S. Erramilli, Luca V. V. Iliesiu, Petr Kravchuk, Aike Liu, David Poland, David Simmons-Duffin
Summary: We perform a bootstrap analysis of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, and compare our bounds to previous analytical and numerical results, which have applications to phase transitions in condensed matter systems.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
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
Soner Albayrak, Rajeev S. Erramilli, Zhijin Li, David Poland, Yuan Xin
Summary: We present the results of a conformal bootstrap study on the presumed unitary IR fixed point of quantum electrodynamics in three dimensions coupled to Nf = 4 two-component Dirac fermions. The study finds that the scaling dimensions of the fermion bilinear r and the monopole M1/2 are constrained into a closed island, consistent with 1/Nf perturbative results.
Article
Astronomy & Astrophysics
Shai M. Chester, Walter Landry, Junyu Liu, David Poland, David Simmons-Duffin, Ning Su, Alessandro Vichi
Summary: In this study, the critical O(3) model was investigated using numerical conformal bootstrap, with the use of a cutting-surface algorithm to efficiently map out the space of allowed conformal field theory data. By calculating the scaling dimensions of the main O(3) singlet s, vector phi, and rank-2 symmetric tensor t, it was found that the system described by the critical O(3) model is unstable to cubic anisotropy, as evidenced by introducing a new tip-finding algorithm to compute an upper bound on the leading rank-4 symmetric tensor t(4).
Correction
Physics, Particles & Fields
Junyu Liu, David Meltzer, David Poland, David Simmons-Duffin
Summary: During typesetting, incorrect text was added to the title of section 5.1 in the original paper.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)