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:: Fri Aug 30 00:00:00 EDT 2019

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.

Copy to clipboard


                    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

Copy to clipboard


                    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.

Copy to clipboard


                    
@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         = {Fri Aug 30 00:00:00 EDT 2019},

  month        = {Fri Aug 30 00:00:00 EDT 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/JHEP08(2019)178

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

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

Băbălȋc, Mirela; Wyllard, Niclas
Journal of High Energy Physics, Vol. 2008, Issue 10
DOI: 10.1088/1126-6708/2008/10/059

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

Karlsson, Anna
Journal of High Energy Physics, Vol. 2015, Issue 4
DOI: 10.1007/JHEP04(2015)165

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

Brink, Lars; Howe, Paul
Physics Letters B, Vol. 91, Issue 3-4
DOI: 10.1016/0370-2693(80)91002-3

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

Nilsson, B. E. W.
Classical and Quantum Gravity, Vol. 3, Issue 2
DOI: 10.1088/0264-9381/3/2/007

Supergravity in theory in 11 dimensions
journal, June 1978

Cremmer, E.; Julia, B.; Scherk, J.
Physics Letters B, Vol. 76, Issue 4
DOI: 10.1016/0370-2693(78)90894-8

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

Berkovits, Nathan
Journal of High Energy Physics, Vol. 2000, Issue 04
DOI: 10.1088/1126-6708/2000/04/018

Curved 11D Supergeometry
journal, November 2004

Tsimpis, Dimitrios
Journal of High Energy Physics, Vol. 2004, Issue 11
DOI: 10.1088/1126-6708/2004/11/087

Towards Covariant Quantization of the Supermembrane
journal, September 2002

Berkovits, Nathan
Journal of High Energy Physics, Vol. 2002, Issue 09
DOI: 10.1088/1126-6708/2002/09/051

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

Cederwall, Martin; Karlsson, Anna
Journal of High Energy Physics, Vol. 2013, Issue 3
DOI: 10.1007/JHEP03(2013)114

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

Berkovits, Nathan; Guillen, Max
Journal of High Energy Physics, Vol. 2018, Issue 8
DOI: 10.1007/JHEP08(2018)033

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

Howe, P. S.
Physics Letters B, Vol. 258, Issue 1-2
DOI: 10.1016/0370-2693(91)91221-G

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

Björnsson, Jonas
Journal of High Energy Physics, Vol. 2011, Issue 1
DOI: 10.1007/JHEP01(2011)002

Ambitwistor strings and the scattering equations
journal, July 2014

Mason, Lionel; Skinner, David
Journal of High Energy Physics, Vol. 2014, Issue 7
DOI: 10.1007/JHEP07(2014)048

D = 11 Supergravity with Manifest Supersymmetry
journal, December 2010

Cederwall, Martin
Modern Physics Letters A, Vol. 25, Issue 38
DOI: 10.1142/S0217732310034407

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

Green, Michael B.; Kwon, Hwang-h; Gutperle, Michael
Journal of High Energy Physics, Vol. 1999, Issue 08
DOI: 10.1088/1126-6708/1999/08/012

Covariant one-loop amplitudes in
journal, December 2004

Anguelova, Lilia; Grassi, Pietro Antonio; Vanhove, Pierre
Nuclear Physics B, Vol. 702, Issue 1-2
DOI: 10.1016/j.nuclphysb.2004.09.024

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

Howe, P. S.
Physics Letters B, Vol. 273, Issue 1-2
DOI: 10.1016/0370-2693(91)90558-8

5 loops in 24/5 dimensions
journal, August 2010

Björnsson, Jonas; Green, Michael B.
Journal of High Energy Physics, Vol. 2010, Issue 8
DOI: 10.1007/JHEP08(2010)132

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

Berkovits, Nathan
Journal of High Energy Physics, Vol. 2014, Issue 3
DOI: 10.1007/JHEP03(2014)017

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

Berkovits, Nathan; Guillen, Max
Journal of High Energy Physics, Vol. 2017, Issue 7
DOI: 10.1007/JHEP07(2017)115

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

Babalic, Mirela; Wyllard, Niclas
arXiv
DOI: 10.48550/arxiv.0808.3691

D=11 supergravity with manifest supersymmetry
text, January 2010

Cederwall, Martin
arXiv
DOI: 10.48550/arxiv.1001.0112

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

Cederwall, Martin; Karlsson, Anna
arXiv
DOI: 10.48550/arxiv.1212.5175

Ambitwistor strings and the scattering equations
text, January 2013

Mason, Lionel; Skinner, David
arXiv
DOI: 10.48550/arxiv.1311.2564

Curved 11D Supergeometry
text, January 2004

Tsimpis, Dimitrios
arXiv
DOI: 10.48550/arxiv.hep-th/0407244

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

Green, Michael B.; Gutperle, Michael; Kwon, Hwang-h.
arXiv
DOI: 10.48550/arxiv.hep-th/9907155

Similar Records in DOE PAGES and OSTI.GOV collections:

The quantum mechanics of an N = 1 superparticle in extended superspace

Journal Article Green, M B ; Hull, C - Modern Physics Letters A; (USA)

A new ten-dimensional superparticle action with local symmetries implemented via gauge fields is formulated in a superspace with an extra anticommuting space-time spinor coordinate. Light-cone quantization gives the spectrum of N = 1 super-Yang-Mills. Covariant gauge choices in which the gauge fields are set to constants lead to free BRST-invariant quantum actions. Possible ghost systems include one with only a finite number of ghosts and several with an infinite number. In each case, the BRST cohomology class of zero ghost number gives the spectrum of N = 1 super-Yang-Mills.
https://doi.org/10.1142/S0217732390001591
Correlating the Kappa-Symmetric and Pure Spinor Versions of the Supermembrane in D = 11

Journal Article Babalic, E M - AIP Conference Proceedings

In this paper it is studied a relation between the kappa-symmetric and pure spinor formulations of the supermembrane in eleven dimensions using Berkovits' recently developed method for the superstring (in D = 10). In the present paper I present an extension of this method to the supermembrane, showing that it is possible to reinstate the reparameterization constraints in the pure spinor formulation of the supermembrane by introducing a topological sector and performing a similarity transformation. The resulting BRST charge is then of conventional type and is argued to be (related to) the BRST charge of the kappa-symmetric supermembrane in amore »« less
https://doi.org/10.1063/1.3482233
Operators on Pure Spinor Spaces

Journal Article Cederwall, Martin - AIP Conference Proceedings

Pure spinors are relevant to the formulation of supersymmetric theories, and provide the only known way to maintain manifest maximal supersymmetry. The (non-linear) pure spinor constraint makes it nontrivial to find well defined operators on pure spinor wave functions. We discuss how such operators are defined. One application concerns covariant gauge fixing in maximally supersymmetric Yang-Mills (and string theory). Another issue is the construction of a manifestly supersymmetric action for 11-dimensional supergravity in terms of a scalar superfield. We describe some work in progress.
https://doi.org/10.1063/1.3460180
Renormalization of gauge invariant operators and anomalies in Yang-Mills theory

Journal Article Barnich, G ; Henneaux, M - Physical Review Letters; (United States)

A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency condition for anomalies with sources included is also derived. This is achieved by computing explicitly the cohomology of the full unrestricted Becchi-Rouet-Stora-Tyutin operator in the space of local polynomial functionals with ghost number equal to zero or one. The argument does not use power counting and is purely cohomological. It relies crucially on standard properties of the antifeld formalism.
https://doi.org/10.1103/PhysRevLett.72.1588
Superbranes, D = 11 CJS Supergravity and Enlarged Superspace Coordinates/Fields Correspondence

Journal Article Azcarraga, J.A. de ; IFIC - CSIC-UVEG, Facultad de Fisica, 46100-Burjassot, Valencia - AIP Conference Proceedings

We discuss the role of enlarged superspaces in two seemingly different contexts, the structure of the p-brane actions and that of the Cremmer-Julia-Scherk eleven-dimensional supergravity. Both provide examples of a common principle: the existence of an enlarged superspaces coordinates/fields correspondence by which all the (worldvolume or spacetime) fields of the theory are associated to coordinates of enlarged superspaces. In the context of p-branes, enlarged superspaces may be used to construct manifestly supersymmetry-invariant Wess-Zumino terms and as a way of expressing the Born-Infeld worldvolume fields of D-branes and the worldvolume M5-brane two-form in terms of fields associated to the coordinates ofmore »« less
https://doi.org/10.1063/1.1923338

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