Notes on the D = 11 pure spinor superparticle

Berkovits, Nathan; Casali, Eduardo; Guillen, Max; Mason, Lionel

doi:10.1007/JHEP08(2019)178

Title: Notes on the D = 11 pure spinor superparticle

Abstract

The D = 11 pure spinor superparticle has been shown to describe linearized D = 11supergravityinamanifestlycovariantway. Anumberofauthorshaveproposedthat its correlation functions be used to compute amplitudes. The use of the scalar structure of the eleven-dimensional pure spinor top cohomology introduces a natural measure for computing such correlation functions. This prescription requires the construction of ghost number one and zero vertex operators. In these notes, we construct explicitly a ghost number one vertex operator but show the incompatibiliy of a ghost number zero vertex operator satisfying a standard descent equation for D = 11 supergravity.

Authors:

Berkovits, Nathan ^[1];

^[2];

^[3];

^[4]

Univ. Estadual Paulista, Sao Paulo (Brazil)
Univ. of California, Davis, CA (United States); Univ. of Oxford (United Kingdom)
Univ. of Oxford (United Kingdom); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Univ. Estadual Paulista, Sao Paulo (Brazil)
Univ. of Oxford (United Kingdom)

Publication Date:: 2019-08-30

Research Org.:: Univ. of California, Davis, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1597623

Grant/Contract Number:: SC0009999

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Berkovits, Nathan, Casali, Eduardo, Guillen, Max, and Mason, Lionel. Notes on the D = 11 pure spinor superparticle.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP08(2019)178.

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                    Berkovits, Nathan, Casali, Eduardo, Guillen, Max, & Mason, Lionel. Notes on the D = 11 pure spinor superparticle.  United States.  https://doi.org/10.1007/JHEP08(2019)178

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                    Berkovits, Nathan, Casali, Eduardo, Guillen, Max, and Mason, Lionel. Fri .  
"Notes on the D = 11 pure spinor superparticle".  United States.  https://doi.org/10.1007/JHEP08(2019)178.  https://www.osti.gov/servlets/purl/1597623.

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@article{osti_1597623,

  title        = {Notes on the D = 11 pure spinor superparticle},

  author       = {Berkovits, Nathan and Casali, Eduardo and Guillen, Max and Mason, Lionel},

  abstractNote = {The D = 11 pure spinor superparticle has been shown to describe linearized D = 11supergravityinamanifestlycovariantway. Anumberofauthorshaveproposedthat its correlation functions be used to compute amplitudes. The use of the scalar structure of the eleven-dimensional pure spinor top cohomology introduces a natural measure for computing such correlation functions. This prescription requires the construction of ghost number one and zero vertex operators. In these notes, we construct explicitly a ghost number one vertex operator but show the incompatibiliy of a ghost number zero vertex operator satisfying a standard descent equation for D = 11 supergravity.},

  doi          = {10.1007/JHEP08(2019)178},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 8,

  volume       = 2019,

  place        = {United States},

  year         = {2019},

  month        = {8}

}

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Works referenced in this record:

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Similar Records

Title: Notes on the D = 11 pure spinor superparticle

Abstract

Citation Formats

Towards relating the kappa-symmetric and pure-spinor versions of the supermembrane journal, October 2008

Ultraviolet divergences in maximal supergravity from a pure spinor point of view journal, April 2015

Eleven-dimensional supergravity on the mass shell in superspace journal, April 1980

Pure spinors as auxiliary fields in the ten-dimensional supersymmetric Yang-Mills theory journal, March 1986

Supergravity in theory in 11 dimensions journal, June 1978

Super-Poincare covariant quantization of the superstring journal, March 2000

Curved 11D Supergeometry journal, November 2004

Towards Covariant Quantization of the Supermembrane journal, September 2002

Loop amplitudes in maximal supergravity with manifest supersymmetry journal, March 2013

Equations of motion from Cederwall’s pure spinor superspace actions journal, August 2018

Pure spinor lines in superspace and ten-dimensional supersymmetric theories journal, April 1991

Multi-loop amplitudes in maximally supersymmetric pure spinor field theory journal, January 2011

Ambitwistor strings and the scattering equations journal, July 2014

D = 11 Supergravity with Manifest Supersymmetry journal, December 2010

Light-cone quantum mechanics of the eleven-dimensional superparticle journal, August 1999

Covariant one-loop amplitudes in journal, December 2004

Pure spinors, function superspaces and supergravity theories in ten and eleven dimensions journal, December 1991

5 loops in 24/5 dimensions journal, August 2010

Infinite tension limit of the pure spinor superstring journal, March 2014

Simplified D = 11 pure spinor b ghost journal, July 2017

Towards relating the kappa-symmetric and pure-spinor versions of the supermembrane text, January 2008

D=11 supergravity with manifest supersymmetry text, January 2010

Loop amplitudes in maximal supergravity with manifest supersymmetry text, January 2012

Ambitwistor strings and the scattering equations text, January 2013

Curved 11D Supergeometry text, January 2004

Light-cone Quantum Mechanics of the Eleven-dimensional Superparticle text, January 1999

Towards relating the kappa-symmetric and pure-spinor versions of the supermembrane
journal, October 2008

Ultraviolet divergences in maximal supergravity from a pure spinor point of view
journal, April 2015

Eleven-dimensional supergravity on the mass shell in superspace
journal, April 1980

Pure spinors as auxiliary fields in the ten-dimensional supersymmetric Yang-Mills theory
journal, March 1986

Supergravity in theory in 11 dimensions
journal, June 1978

Super-Poincare covariant quantization of the superstring
journal, March 2000

Curved 11D Supergeometry
journal, November 2004

Towards Covariant Quantization of the Supermembrane
journal, September 2002

Loop amplitudes in maximal supergravity with manifest supersymmetry
journal, March 2013

Equations of motion from Cederwall’s pure spinor superspace actions
journal, August 2018

Pure spinor lines in superspace and ten-dimensional supersymmetric theories
journal, April 1991

Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
journal, January 2011

Ambitwistor strings and the scattering equations
journal, July 2014

D = 11 Supergravity with Manifest Supersymmetry
journal, December 2010

Light-cone quantum mechanics of the eleven-dimensional superparticle
journal, August 1999

Covariant one-loop amplitudes in
journal, December 2004

Pure spinors, function superspaces and supergravity theories in ten and eleven dimensions
journal, December 1991

5 loops in 24/5 dimensions
journal, August 2010

Infinite tension limit of the pure spinor superstring
journal, March 2014

Simplified D = 11 pure spinor b ghost
journal, July 2017

Towards relating the kappa-symmetric and pure-spinor versions of the supermembrane
text, January 2008

D=11 supergravity with manifest supersymmetry
text, January 2010

Loop amplitudes in maximal supergravity with manifest supersymmetry
text, January 2012

Ambitwistor strings and the scattering equations
text, January 2013

Curved 11D Supergeometry
text, January 2004

Light-cone Quantum Mechanics of the Eleven-dimensional Superparticle
text, January 1999