Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature

Lowe, David A.

doi:10.1016/j.physletb.2016.07.029

Title: Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature

Abstract

Mack has conjectured that all conformal field theories are equivalent to string theories. Here, we explore the example of the two-dimensional minimal model CFTs and confirm that the Mellin transformed amplitudes have the desired properties of string theory in three-dimensional anti-de Sitter spacetime.

Authors:: Lowe, David A.

Publication Date:: Thu Sep 01 00:00:00 EDT 2016

Research Org.:: Brown Univ., Providence, RI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1264783

Alternate Identifier(s):: OSTI ID: 1358555

Grant/Contract Number:: SC0010010

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 760 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Lowe, David A. Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature.  Netherlands: N. p., 2016. 
Web.  doi:10.1016/j.physletb.2016.07.029.

Copy to clipboard


                    Lowe, David A. Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature.  Netherlands.  https://doi.org/10.1016/j.physletb.2016.07.029

Copy to clipboard


                    Lowe, David A. Thu .  
"Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature".  Netherlands.  https://doi.org/10.1016/j.physletb.2016.07.029.

Copy to clipboard


                    
@article{osti_1264783,

  title        = {Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature},

  author       = {Lowe, David A.},

  abstractNote = {Mack has conjectured that all conformal field theories are equivalent to string theories. Here, we explore the example of the two-dimensional minimal model CFTs and confirm that the Mellin transformed amplitudes have the desired properties of string theory in three-dimensional anti-de Sitter spacetime.},

  doi          = {10.1016/j.physletb.2016.07.029},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 760,

  place        = {Netherlands},

  year         = {Thu Sep 01 00:00:00 EDT 2016},

  month        = {Thu Sep 01 00:00:00 EDT 2016}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2016.07.029

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 7 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referencing / citing this record:

How to succeed at holographic correlators without really trying
journal, April 2018

Rastelli, Leonardo; Zhou, Xinan
Journal of High Energy Physics, Vol. 2018, Issue 4
DOI: 10.1007/jhep04(2018)014

Loops in AdS from conformal field theory
journal, July 2017

Aharony, Ofer; Alday, Luis F.; Bissi, Agnese
Journal of High Energy Physics, Vol. 2017, Issue 7
DOI: 10.1007/jhep07(2017)036

On superconformal four-point Mellin amplitudes in dimension d > 2
journal, August 2018

Zhou, Xinan
Journal of High Energy Physics, Vol. 2018, Issue 8
DOI: 10.1007/jhep08(2018)187

Similar Records in DOE PAGES and OSTI.GOV collections:

ADS/CFT and QCD

Conference Brodsky, Stanley J ; /SLAC ; de Teramond, Guy F ; ...

The AdS/CFT correspondence between string theory in AdS space and conformal .eld theories in physical spacetime leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at short distances and color confinement at large distances. Although QCD is not conformally invariant, one can nevertheless use the mathematical representation of the conformal group in five-dimensional anti-de Sitter space to construct a first approximation to the theory. The AdS/CFT correspondence also provides insights into the inherently non-perturbative aspects of QCD, such as the orbital and radial spectra of hadrons and the form of hadronic wavefunctions. Inmore »« less
Full Text Available
Weak gravity conjecture in the AdS/CFT correspondence

Journal Article Nakayama, Yu ; Nomura, Yasunori - Physical Review. D, Particles, Fields, Gravitation and Cosmology

Here, we study implications of the weak gravity conjecture in the AdS/CFT correspondence. Unlike in Minkowski spacetime, Anti-de Sitter (AdS) spacetime has a physical length scale, so that the conjecture must be generalized with an additional parameter. We discuss possible generalizations and translate them into the language of dual conformal field theories (CFTs), which take the form of inequalities involving the dimension and charge of an operator as well as the current and energy-momentum tensor central charges. We then test these inequalities against various CFTs to see if they are universally obeyed by all the CFTs. Additionally, we find thatmore »« less
Cited by 61
https://doi.org/10.1103/PhysRevD.92.126006

Full Text Available
Exact solutions with AdS asymptotics of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field

Journal Article Cadoni, Mariano ; Serra, Matteo ; Mignemi, Salvatore ; ... - Physical Review. D, Particles Fields

We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together with the metric functions, the corresponding form of the scalar self-interaction potential. Using this method we prove a new no-hair theorem about the existence of hairy black-hole and black-brane solutions and derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT correspondence to condensed matter and strongly coupled QFTs. Thesemore »« less
https://doi.org/10.1103/PHYSREVD.84.084046
AdS/CFT and Exclusive Processes in QCD

Conference Brodsky, Stanley J ; de Teramond, Guy F

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at short distances and color confinement at large distances. One can use holography to map the amplitude describing the hadronic state in the fifth dimension of Anti-de Sitter space AdS5 to the light-front wavefunctions of hadrons in physical space-time, thus providing a relativistic description of hadrons in QCD at the amplitude level. In particular, we show that there is an exact correspondence between the fifth-dimensional coordinate of AdSmore »« less
Full Text Available
Hadron Spectroscopy and Structure from AdS/CFT

Journal Article Brodsky, Stanley J ; /SLAC - European Physical Journal

The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact correspondence between the fifth-dimensional coordinate of anti-de Sitter space z and a specific impact variable {zeta} which measures the separation of the constituents within the hadron in ordinary space-time. This connection allows one to predict the form of the light-front wavefunctions of mesons and baryons, the fundamental entities which encode hadron properties and scattering amplitudes. A new relativistic Schroedinger light-front equation is found which reproducesmore »« less
Full Text Available

Similar Records

Title: Mellin transforming the minimal model CFTs: AdS/CFT at strong curvature

Abstract

Citation Formats

How to succeed at holographic correlators without really trying journal, April 2018

Loops in AdS from conformal field theory journal, July 2017

On superconformal four-point Mellin amplitudes in dimension d > 2 journal, August 2018

How to succeed at holographic correlators without really trying
journal, April 2018

Loops in AdS from conformal field theory
journal, July 2017

On superconformal four-point Mellin amplitudes in dimension d > 2
journal, August 2018