A5018744445- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Quantum Chromodynamics and Particle Interactions
- Particle physics theoretical and experimental studies
- Noncommutative and Quantum Gravity Theories
- Quantum chaos and dynamical systems
- Geometry and complex manifolds
- Parallel Computing and Optimization Techniques
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum many-body systems
- Distributed and Parallel Computing Systems
- Markov Chains and Monte Carlo Methods
- Solid State Laser Technologies
- Laser Design and Applications
- Relativity and Gravitational Theory
- Algebraic structures and combinatorial models
- Advanced Fiber Laser Technologies
- Quantum Mechanics and Applications
- Analytical Chemistry and Sensors
- Nonlinear Waves and Solitons
- Advanced Thermodynamics and Statistical Mechanics
- Various Chemistry Research Topics
University of Chicago
2020-2022
York University
2022
Cornell University
2017-2019
A bstract We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged CFT. calculate averaged function and show that it can be reinterpreted as a sum topologies three This result leads us to conjecture CFT dimensions is holographically dual exotic theory three-dimensional gravity with U(1) c × symmetry composite boundary graviton. Additionally, for small central charge , we obtain general constraints on spectral...
We study stress tensor correlation functions in four-dimensional conformal field theories with large N and a sparse spectrum. Theories this class are expected to have local holographic duals, so effective theory anti-de Sitter suggests that the sector should exhibit universal, gravity-like behavior. At linearized level, hallmark of locality emergent geometry is three-point 〈T T 〉, normally specified by three constants, approach universal structure controlled single parameter as gap higher...
In this note we show that the recent conjecture proposed by Cachazo and Strominger holds at tree level in arbitrary dimensions. The proof makes crucial use of fact sub-leading operator is defined using total angular momentum operator. A key ingredient possible CHY formula for graviton amplitudes number
A bstract The crossing equations of a conformal field theory can be systematically truncated to finite, closed system polynomial equations. In certain cases, solutions the place strict bounds on space all unitary CFTs. We describe conditions under which this holds, and use results develop fast algorithm for modular bootstrap in 2d CFT. then apply it compute spectral gaps very high precision, find scaling dimensions over thousand operators, extend numerical regime large central charge,...
A bstract According to common lore, massive elementary higher spin particles lead inconsistencies when coupled gravity. However, this scenario was not completely ruled out by previous arguments. In paper, we show that in a theory where the low energy dynamics of gravitons are governed Einstein-Hilbert action, any finite number with more than two cannot interact gravitons, even classically, way preserves causality. This is achieved flat spacetime studying eikonal scattering three dimensions....
A bstract We clarify and further explore the CFT dual of shockwave geometries in Anti-de Sitter. The is to a state produced by heavy local operator inserted at complex point. It can also be created light operators, smeared over positions. describe dictionary both cases, compare various calculations, old new. In CFT, we analyze product expansion Regge limit, find that leading contribution exactly operator, ∫ duh uu , localized on bulk geodesic. For sources this simple consequence conformal...
A bstract We carry out a numerical study of the spinless modular bootstrap for conformal field theories with current algebra U(1) c × , or equivalently linear programming bound sphere packing in 2 dimensions. give more detailed picture behavior finite than was previously available, and we extrapolate as → ∞. Our extrapolation indicates an exponential improvement density bounds high dimen- sions. Furthermore, when these can be tight. Besides known cases = 1 / 2, 4, 12 conjectured case 1, our...
A bstract We develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and sparse spectrum higher spin operators. The has interpretation new collider-type experiment for these class CFTs hence it advantage requiring knowledge only about CFT three-point functions. This is accomplished by considering holographic null energy operator which was introduced [1] as generalization averaged operator. Analyticity properties...
A bstract Using numerical methods for finding Ricci-flat metrics, we explore the spectrum of local operators in two-dimensional conformal field theories defined by sigma models on Calabi-Yau targets at large volume. Focusing examples K3 and quintic, show that spectrum, averaged over a region complex structure moduli space, possesses same statistical properties as Gaussian orthogonal ensemble random matrix theory.
We derive constraints on two-dimensional conformal field theories with higher spin symmetry due to unitarity, modular invariance, and causality. focus CFTs $\mathcal{W}_N$ in the "irrational" regime, where $c>N-1$ have an infinite number of higher-spin primaries. The most powerful come from positivity Kac matrix, which (unlike Virasoro case) is non-trivial even when $c>N-1$. This places a lower bound dimension any non-vacuum primary state, linear central charge. At large $c$, this implies...
We show that in any relativistic system, entanglement entropy obeys a speed limit set by the thermal equilibrium. The bound is derived from inequalities on relative with respect to reference state. Thus state constrains far-from-equilibrium dynamics whether or not system actually equilibrates, manner reminiscent of fluctuation theorems classical statistical mechanics. A similar shape-dependent full nonlinear time evolution, supporting simple physical picture for propagation has previously...
We explore the space of extremal functionals in conformal bootstrap. By recasting bootstrap problem as a set non-linear equations parameterized by CFT data, we find an efficient algorithm for converging to solution corresponding boundary allowed regions parameter CFTs. Furthermore, deforming these solutions, demonstrate that certain solutions known theories are continuously connected. Employing methods, will non-unitary CFTs context modular well correlation function In two dimensions, show...
We clarify and further explore the CFT dual of shockwave geometries in Anti-de Sitter. The is to a state produced by heavy local operator inserted at complex point. It can also be created light operators, smeared over positions. describe dictionary both cases, compare various calculations, old new. In CFT, we analyze product expansion Regge limit, find that leading contribution exactly operator, $\int du h_{uu}$, localized on bulk geodesic. For sources this simple consequence conformal...
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We demonstrate the performance characteristics of a new class vacuum-sealed, autolocking diode laser systems and their applications to precision metrology.The is based on adaptations design that uses optical feedback from an interference filter it includes vacuum-sealed cavity, interchangeable base-plate, digital controller.A change base-plate allows operation at desired wavelengths in visible near infrared spectral range, whereas ability be tuned frequency stabilized with respect atomic,...
We explore the space of extremal functionals in conformal bootstrap. By recasting bootstrap problem as a set non-linear equations parameterized by CFT data, we find an efficient algorithm for converging to solution corresponding boundary allowed regions parameter CFTs. Furthermore, deforming these solutions, demonstrate that certain solutions known theories are continuously connected. Employing methods, will non-unitary CFTs context modular well correlation function In two dimensions, show...