Matrix Theory Reloaded: A BPS Road to Holography

Abstract

We revisit the decoupling limits that lead to matrix theories on D-branes. We highlight the BPS nature of these limits, in which the target space geometry becomes non-Lorentzian and wrapped D-branes experience instantaneous gravitational forces. Applied to curved D-brane geometries, we show that a single BPS decoupling limit induces the bulk near-horizon limit leading to AdS/CFT. By consecutively applying two such limits, we systematically generate further examples of holography, including novel versions with non-Lorentzian bulk geometry. Uplifted to M-theory, we are led to a unified framework where each BPS decoupling limit corresponds to a Discrete Light Cone Quantisation (DLCQ). We conjecture that a DLCQ${}^n$/DLCQ${}^m$ correspondence, with $m>n$, captures the notion of holography in string theory. In particular, AdS${}_5$/CFT${}_4$ can be viewed as an example of DLCQ${}^0$/DLCQ${}^1$, with the extra DLCQ on the field theory side corresponding to the near-horizon limit in the bulk geometry. We further show that undoing these BPS decoupling limits can be viewed as deformations of matrix theories. We explain how these deformations are related to the $T\bar{T}$ deformation in two dimensions. In the context of holography, this allows us to view the ten-dimensional near-horizon brane geometry as an intrinsic deformation of the flat non-Lorentzian geometry that arises asymptotically. In field theoretic terms, these generalisations lead to $T\bar{T}$-like flow equations for the D$p$-brane DBI action.

76 pages + references; v2: references added, minor clarifications; v3: typos corrected

References in corpus (108)

• String Theory and Noncommutative Geometry
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Dielectric-Branes
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Gravity Duals of Lifshitz-like Fixed Points
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Spacelike Branes
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Non-Relativistic Closed String Theory
• Carrollian Perspective on Celestial Holography
• Torsional Newton-Cartan Geometry and Lifshitz Holography
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• Newtonian Gravity and the Bargmann Algebra
• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Non-Relativistic Superstrings: A New Soluble Sector of AdS_5xS^5
• IIA/B, Wound and Wrapped
• Non-Relativistic Strings and Limits of the AdS/CFT Correspondence
• Action Principle for Newtonian Gravity
• OM Theory in Diverse Dimensions
• S-Duality and Noncommutative Gauge Theory
• `Stringy' Newton-Cartan Gravity
• $T\bar{T}$-deformations in closed form
• Lifshitz Gravity for Lifshitz Holography
• $T\bar{T}$ and the mirage of a bulk cutoff
• Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence
• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• Nonrelativistic String Theory and T-Duality
• Warped Conformal Field Theory as Lower Spin Gravity
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Non-Relativistic Gravity and its Coupling to Matter
• Carroll Expansion of General Relativity
• M-Theory and the Light Cone
• String Theory and String Newton-Cartan Geometry
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Torsional Newton-Cartan gravity from the large $c$ expansion of General Relativity
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Bootstrapping Matrix Quantum Mechanics
• On $T\bar{T}$ deformations and supersymmetry
• Relating non-relativistic string theories
• Non-Relativistic Superbranes
• Supersymmetry and $T\overline{T}$ Deformations
• Non-Relativistic Chern-Simons Theories and Three-Dimensional Horava-Lifshitz Gravity
• Extended Galilean symmetries of non-relativistic strings
• Aspects of Nonrelativistic Strings
• Nonrelativistic String Theory in Background Fields
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• Statistical Entropy and AdS/CFT Correspondence in BTZ Black Holes
• Torsional string Newton-Cartan geometry for non-relativistic strings
• Review on Non-Relativistic Gravity
• Dynamics of Carroll Strings
• Open Branes in Space-Time Non-Commutative Little String Theory
• A Non-Relativistic Limit of NS-NS Gravity
• Spin Matrix Theory: A quantum mechanical model of the AdS/CFT correspondence
• Newtonian Gravitons and D-brane Collective Coordinates in Wound String Theory
• Black Holes and the Super Yang-Mills diagram. II
• Remark About Non-Relativistic String in Newton-Cartan Background and Null Reduction
• Torsional Newton Cartan gravity from non-relativistic strings
• A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry
• A worldsheet supersymmetric Newton-Cartan string
• An Action for Extended String Newton-Cartan Gravity
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
• Dual D-Brane Actions in Nonrelativistic String Theory
• Nonrelativistic Open String and Yang-Mills Theory
• Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
• T-Duality in Nonrelativistic Open String Theory
• Unification of Decoupling Limits in String and M-theory
• Green-Schwarz superstring on doubled-yet-gauged spacetime
• Non-relativistic duality and $T\bar{T}$ deformations
• Nonrelativistic Approximations of Closed Bosonic String Theory
• A Non-Abelian Analogue of DBI from $T\overline{T}$
• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• Bootstrap bounds on D0-brane quantum mechanics
• Gravity and $T\bar{T}$ flows in higher dimensions
• Massive gravity generalization of $T\overline{T}$ deformations
• A Membrane Action for OM Theory
• Renormalization of Galilean Electrodynamics
• Worldsheet Formalism for Decoupling Limits in String Theory
• Three Graviton Scattering in M-Theory
• Non-Relativistic Superstring Theories
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Scaling similarities and quasinormal modes of D0 black hole solutions
• p-brane Newton--Cartan Geometry
• Generalized Conformal Symmetry and Oblique AdS/CFT Correspondence for Matrix Theory
• Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
• S-duality in $T\bar{T}$-deformed CFT
• Nonrelativistic Corners of $\mathcal{N}=4$ Supersymmetric Yang--Mills Theory
• Open/closed string duality and relativistic fluids
• Note About Hamiltonian Formalism for Newton-Cartan String and p-Brane
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• KLT Factorization of Nonrelativistic String Amplitudes
• Non-Lorentzian RG flows and Supersymmetry
• Non-Lorentzian Field Theories with Maximal Supersymmetry and Moduli Space Dynamics
• The Panorama of Spin Matrix Theory
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Anisotropic Compactification of Nonrelativistic M-Theory
• Branched SL(2,Z) Duality
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Decoding the Spin-Matrix limit of strings on $Ad{S}_5\times S^5$
• Multispin magnons from Spin-Matrix strings on $Ad{S}_5\times S^5$
• Non-Relativistic Holography from AdS${}_5$/CFT${}_4$
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• U-duality Between NCOS Theory and Matrix Theory
• Lagrangians for non-relativistic gravity
• Are M-atrix theory and Maldacena's conjecture related?

Cited by in corpus (7)

• Revisiting the Symmetries of Galilean Electrodynamics
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
• de Sitter Holography and Carrollian Brane Theories
• String Duals of Two-Dimensional Yang-Mills and Symmetric Product Orbifolds
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory