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Homotopy theory of algebraic quantum field theories

Motivated by gauge theory, we develop a general framework for chain complex-valued algebraic quantum field theories. Building upon our recent operadic approach to this subject, we show that the ... theoretical generalization of algebraic quantum field theory with a particular focus on the homotopy-coherent Einstein causality axiom. We provide examples of such homotopy-coherent theories via (1) smooth

The action of long strings in supersymmetric field theories

Abstract Long strings emerge in many Quantum Field Theories, for example as vortices in Abelian Higgs theories, or flux tubes in Yang-Mills theories. The actions of such objects can be expanded in ... originating field theory. Such classifications have been made before for bosonic strings. In this work we expand upon that and classify also strings with fermionic degrees of freedom, where the string breaks D

Effective field theories in Rξ gauges

Abstract In effective quantum field theories, higher dimensional operators can affect the canonical normalization of kinetic terms at tree level. These contributions for scalars and gauge bosons ... . Pérez-Victoria, Field redefinitions in effective theories at higher orders, arXiv:1811.09413 [INSPIRE]. [18] M.E. Peskin and D.V. Schroeder, An Introduction to quantum field theory, Perseus Books

Long string scattering in c = 1 string theory

Abstract We study the scattering of long strings in c = 1 string theory, both in the worldsheet description and in the non-singlet sector of the dual matrix quantum mechanics. From the worldsheet ... . References [1] I.R. Klebanov, String theory in two-dimensions, talk given at the Spring School on String Theory and Quantum Gravity, April 15-23, Trieste, Italy (1991), hep-th/9108019 [INSPIRE]. [2] P.H

Argyres-Douglas theories, Painlevé II and quantum mechanics

Argyres-Douglas theories to the quantum mechanical models with cubic and double well potentials. ... and J. Reuter, Exact solutions to quantum spectral curves by topological string theory, JHEP 10 (2015) 025 [arXiv:1506.09176] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar [58] X. Wang, G. Zhang

A study of quantum field theories in AdS at finite coupling

Abstract We study the O(N) and Gross-Neveu models at large N on AdSd+1 background. Thanks to the isometries of AdS, the observables in these theories are constrained by the SO(d, 2) conformal group ... University Press, Cambridge (1966) [INSPIRE].zbMATHGoogle Scholar [3] A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory, Nucl. Phys. B

Chiral entanglement in massive quantum field theories in 1+1 dimensions

Abstract We determine both analytically and numerically the entanglement between chiral degrees of freedom in the ground state of massive perturbations of 1+1 dimensional conformal field theories ... integrable quantum field theory, JHEP 08 (2018) 170 [arXiv:1805.08132] [INSPIRE].MathSciNetzbMATHGoogle Scholar [87] V.S. Dotsenko and V.A. Fateev, Operator Algebra of Two-Dimensional Conformal Theories with

Topologically twisted SUSY gauge theory, gauge-Bethe correspondence and quantum cohomology

Abstract We calculate the partition function and correlation functions in A-twisted 2d \( \mathcal{N} \) = (2, 2) U(N) gauge theories and topologically twisted 3d \( \mathcal{N} \) = 2 U(N) gauge ... Supersymmetric Gauge Theory Supersymmetry and Duality Differential and Algebraic Geometry Integrable Field Theories  ArXiv ePrint: 1605.07165 Download to read the full article text Notes Open Access

On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections

the underlying microscopic chaos. In this paper, we demonstrate the existence of pole-skipping in holographic conformal field theories with higher-derivative gravity duals. In particular, we first ... = 1 field theories from three-branes in F-theory, JHEP 07 (1998) 013 [hep-th/9806159] [INSPIRE]. [45] F. Denef, S.A. Hartnoll and S. Sachdev, Quantum oscillations and black hole ringing, Phys. Rev. D

Nonrelativistic conformal field theories in the large charge sector

Abstract We study Schrödinger invariant field theories (nonrelativistic conformal field theories) in the large charge (particle number) sector. We do so by constructing the effective field theory ... point function in large charge sector. We comment on potential applications to fermions at unitarity and critical anyon systems. Keywords Conformal Field Theory Effective Field Theories Global Symmetries

String memory effect

at classical and quantum levels. The closed string memory is encoded in the internal excited modes of the string, and in the open string case, it is encoded in the relative position of the two ... -th/9812219] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar [24] C.-S. Chu and P.-M. Ho, Constrained quantization of open string in background B field and noncommutative D-brane, Nucl. Phys. B 568 (2000

Twisted compactifications of 3d \( \mathcal{N} \) = 4 theories and conformal blocks

Abstract Three-dimensional \( \mathcal{N} \) = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a ... of supersymmetric ground states should provide a kernel for the Geometric Langlands duality for special unitary groups. Keywords Conformal Field Theory Duality in Gauge Field Theories Extended

A theory of reparameterizations for AdS3 gravity

Abstract We rewrite the Chern-Simons description of pure gravity on global AdS3 and on Euclidean BTZ black holes as a quantum field theory on the AdS boundary. The resulting theory is (two copies of ... \overline{T} \) in two-dimensional quantum field theory, hep-th/0401146 [INSPIRE]. [97] F.A. Smirnov and A.B. Zamolodchikov, On space of integrable quantum field theories, Nucl. Phys. B 915 (2017) 363

Nonrelativistic string theory sigma model and its canonical formulation

This paper is devoted to the canonical analysis of non-linear sigma model that describes motion of non-relativistic string on stringy Newton–Cartan background. We determine structure of constraints ... -dimensional quantum field theory which is well defined and which contain fields that describe dynamics of string in target space-time together with additional fields which are crucial for consistency of string

Heterotic and bosonic string amplitudes via field theory

Abstract Previous work has shown that massless tree amplitudes of the type I and IIA/B superstrings can be dramatically simplified by expressing them as double copies between field-theory amplitudes ... . In this work, we pinpoint similar double-copy constructions for the heterotic and bosonic string theories using an α′-dependent field theory and the same disk/sphere integrals. Surprisingly, this field

Quantum information processing and composite quantum fields

been found to underlie the combinatorics of composite gauge invariant operators in quantum field theory, with applications in the AdS/CFT correspondence. Based on these algebras, we discuss some ... argue that this can be fruitful interface between quantum information and quantum field theory, with implications for AdS/CFT. Keywords 1/N Expansion AdS-CFT Correspondence  ArXiv ePrint: 1809.05156

Constraining quantum fields using modular theory

Abstract Tomita-Takesaki modular theory provides a set of algebraic tools in quantum field theory that is suitable for the study of the information-theoretic properties of states. For every open set ... monotonically under restriction to subregions. We study the consequences of this operator monotonicity inequality for correlation functions in quantum field theory. We do so by constructing a one-parameter Rényi

Exotic branes in Exceptional Field Theory: E7(7) and beyond

Field Theory (DFT) and Exceptional Field Theory (EFT) — collectively referred to as ExFT. Parallel to the theme of dualities, we also stress that these theories unify known solutions in string- and M ... [49] D. Geissbuhler, D. Marques, C. Núñez and V. Penas, Exploring Double Field Theory, JHEP 06 (2013) 101 [arXiv:1304.1472] [INSPIRE]. [50] D.S. Berman and D.C. Thompson, Duality Symmetric String and

κ-Poincaré invariant orientable field theories at one-loop

Abstract We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ† alternate in the ... Poincaré algebra and κ-deformed field theory, Phys. Lett. B 293 (1992) 344 [INSPIRE].ADSCrossRefzbMATHGoogle Scholar [4] S. Doplicher, K. Fredenhagen and J.E. Roberts, The quantum structure of space-time

Real time quantum gravity dynamics from classical statistical Yang-Mills simulations

Abstract We perform microcanonical classical statistical lattice simulations of SU(N) Yang-Mills theory with eight scalars on a circle. Measuring the eigenvalue distribution of the spatial Wilson ... quasinormal mode as a function of energy and N. Keywords AdS-CFT Correspondence Brane Dynamics in Gauge Theories Models of Quantum Gravity  ArXiv ePrint: 1808.08959 Download to read the full article text