Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Modes of Standing Waves - I01:03

Modes of Standing Waves - I

3.1K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
3.1K
Problem-Solving: Tuning of a Guitar String01:04

Problem-Solving: Tuning of a Guitar String

560
In the case of stringed instruments like the guitar, the elastic property that determines the speed of the sound produced is its linear mass density or the mass per unit length. This is simply called the linear density. If the string's linear density is constant along the string, then the linear density is simply the total mass divided by the total length.
The string's wave speed can be regulated by varying the linear density. Tension is the other property that determines the speed of...
560
Euler's Formula for Pin-Ended Columns01:21

Euler's Formula for Pin-Ended Columns

388
In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
To calculate the critical load,...
388
Lewis Symbols and the Octet Rule02:36

Lewis Symbols and the Octet Rule

67.1K
Chemical bonds are complex interactions between two or more atoms or ions, which reduce the potential energy of the molecule. Gilbert N. Lewis developed a model called the Lewis model that simplified the depiction of chemical bond formation and provided straightforward explanations for the chemical bonds seen in most common compounds.
67.1K
Torsional Pendulum01:09

Torsional Pendulum

5.9K
A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the rigid body is suspended. Ideally, the string should be massless; practically, its mass is much smaller than the rigid body's mass and is neglected.
As long as the rigid body's angular displacement is small, its oscillation can be modeled as a linear angular oscillation. The amplitude of the oscillation is an angle. The role of mass is played...
5.9K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.0K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.0K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Critical Assessment of Novel Developments in HPGR Technology Using DEM.

Materials (Basel, Switzerland)·2024
Same author

Psychosocial-Behavioral Phenotyping: A Novel Precision Health Approach to Modeling Behavioral, Psychological, and Social Determinants of Health Using Machine Learning.

Annals of behavioral medicine : a publication of the Society of Behavioral Medicine·2022
Same author

Phenotype Concept Set Construction from Concept Pair Likelihoods.

AMIA ... Annual Symposium proceedings. AMIA Symposium·2021
Same author

Phenotype Inference with Semi-Supervised Mixed Membership Models.

Proceedings of machine learning research·2020
Same author

Comprehensive Clinicopathologic Analyses of Acquired Cystic Disease-associated Renal Cell Carcinoma With Focus on Adverse Prognostic Factors and Metastatic Lesions.

The American journal of surgical pathology·2020
Same author

Clotrimazole Loaded Ufosomes for Topical Delivery: Formulation Development and In-Vitro Studies.

Molecules (Basel, Switzerland)·2019
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Sep 13, 2025

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
08:00

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

Published on: October 25, 2017

7.0K

Complex Liouville String.

Scott Collier1, Lorenz Eberhardt2, Beatrix Mühlmann3

  • 1Massachusetts Institute of Technology, Center for Theoretical Physics, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|July 31, 2025
PubMed
Summary
This summary is machine-generated.

We present the complex Liouville string, a solvable string theory. This theory exhibits duality with a two-matrix integral and admits both AdS_{2} and dS_{2} vacua.

More Related Videos

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

12.9K
1,3,5-Triphenylbenzene and Corannulene as Electron Receptors for Lithium Solvated Electron Solutions
06:56

1,3,5-Triphenylbenzene and Corannulene as Electron Receptors for Lithium Solvated Electron Solutions

Published on: October 10, 2016

7.8K

Related Experiment Videos

Last Updated: Sep 13, 2025

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
08:00

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

Published on: October 25, 2017

7.0K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

12.9K
1,3,5-Triphenylbenzene and Corannulene as Electron Receptors for Lithium Solvated Electron Solutions
06:56

1,3,5-Triphenylbenzene and Corannulene as Electron Receptors for Lithium Solvated Electron Solutions

Published on: October 10, 2016

7.8K

Area of Science:

  • String Theory
  • Quantum Field Theory
  • Mathematical Physics

Background:

  • Liouville theory is a fundamental 2D conformal field theory.
  • Complex central charges are crucial for studying generalized string theories.

Purpose of the Study:

  • Introduce and analyze the complex Liouville string theory.
  • Establish connections to matrix models and gravity theories.
  • Investigate its properties including vacua and nonperturbative effects.

Main Methods:

  • Coupling two Liouville theories with complex conjugate central charges.
  • First-principles computation of amplitudes.
  • Analysis of world sheet boundaries and genus expansion.
  • Reformulation as a 2D dilaton gravity theory.

Main Results:

  • The complex Liouville string is a solvable model.
  • A duality is established with a double-scaled two-matrix integral.
  • Nonperturbative effects and general boundaries are analyzed.
  • The theory admits both Anti-de Sitter (AdS_{2}) and de Sitter (dS_{2}) vacua.

Conclusions:

  • The complex Liouville string offers a new solvable framework in string theory.
  • Its connection to matrix models and gravity deepens theoretical understanding.
  • The existence of both AdS_{2} and dS_{2} vacua provides insights into cosmological models.