T-duality constraints on higher derivatives revisited

Hohm, Olaf; Zwiebach, Barton

doi:10.1007/JHEP04(2016)101

Title: T-duality constraints on higher derivatives revisited

Abstract

Here, we ask to what extent are the higher-derivative corrections of string theory constrained by T-duality. The seminal early work by Meissner tests T-duality by reduction to one dimension using a distinguished choice of field variables in which the bosonic string action takes a Gauss-Bonnet-type form. By analyzing all field redefinitions that may or may not be duality covariant and may or may not be gauge covariant we extend the procedure to test T-duality starting from an action expressed in arbitrary field variables. We illustrate the method by showing that it determines uniquely the first-order α' corrections of the bosonic string, up to terms that vanish in one dimension. We also use the method to glean information about the O(α'2) corrections in the double field theory with Green-Schwarz deformation.

Authors:

Hohm, Olaf ^[1]; Zwiebach, Barton ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Stony Brook Univ., Stony Brook, NY (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Fri Apr 15 00:00:00 EDT 2016

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

Sponsoring Org.:: USDOE

OSTI Identifier:: 1466000

Grant/Contract Number:: FG02-05ER41360

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: 2016; Journal Issue: 4; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Global Symmetries; String Duality

Citation Formats


                    Hohm, Olaf, and Zwiebach, Barton. T-duality constraints on higher derivatives revisited.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP04(2016)101.

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                    Hohm, Olaf, & Zwiebach, Barton. T-duality constraints on higher derivatives revisited.  United States.  https://doi.org/10.1007/JHEP04(2016)101

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                    Hohm, Olaf, and Zwiebach, Barton. Fri .  
"T-duality constraints on higher derivatives revisited".  United States.  https://doi.org/10.1007/JHEP04(2016)101.  https://www.osti.gov/servlets/purl/1466000.

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@article{osti_1466000,

  title        = {T-duality constraints on higher derivatives revisited},

  author       = {Hohm, Olaf and Zwiebach, Barton},

  abstractNote = {Here, we ask to what extent are the higher-derivative corrections of string theory constrained by T-duality. The seminal early work by Meissner tests T-duality by reduction to one dimension using a distinguished choice of field variables in which the bosonic string action takes a Gauss-Bonnet-type form. By analyzing all field redefinitions that may or may not be duality covariant and may or may not be gauge covariant we extend the procedure to test T-duality starting from an action expressed in arbitrary field variables. We illustrate the method by showing that it determines uniquely the first-order α' corrections of the bosonic string, up to terms that vanish in one dimension. We also use the method to glean information about the O(α'2) corrections in the double field theory with Green-Schwarz deformation.},

  doi          = {10.1007/JHEP04(2016)101},

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

  number       = 4,

  volume       = 2016,

  place        = {United States},

  year         = {Fri Apr 15 00:00:00 EDT 2016},

  month        = {Fri Apr 15 00:00:00 EDT 2016}

}

Copy to clipboard

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Works referenced in this record:

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journal, January 1997

Meissner, Krzysztof A.
Physics Letters B, Vol. 392, Issue 3-4
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Hohm, Olaf; Hull, Chris; Zwiebach, Barton
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Doubled α ′-geometry
journal, February 2014

Hohm, Olaf; Siegel, Warren; Zwiebach, Barton
Journal of High Energy Physics, Vol. 2014, Issue 2
DOI: 10.1007/JHEP02(2014)065

T-duality and α′-corrections
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Marqués, Diego; Nuñez, Carmen A.
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Heterotic effective action and duality symmetries revisited
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Hohm, Olaf; Sen, Ashoke; Zwiebach, Barton
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Hohm, Olaf; Zwiebach, Barton
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Green-Schwarz mechanism and α′-deformed Courant brackets
journal, January 2015

Hohm, Olaf; Zwiebach, Barton
Journal of High Energy Physics, Vol. 2015, Issue 1
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Title: T-duality constraints on higher derivatives revisited

Abstract

Citation Formats

Symmetries of higher-order string gravity actions journal, January 1997

Noncompact symmetries in string theory journal, January 1993

Generalized metric formulation of double field theory journal, August 2010

Doubled α ′-geometry journal, February 2014

T-duality and α′-corrections journal, October 2015

Heterotic effective action and duality symmetries revisited journal, February 2015

Order α′ (two-loop) equivalence of the string equations of motion and the σ-model Weyl invariance conditions journal, January 1987

Double field theory journal, September 2009

Double field theory at order α′ journal, November 2014

Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory journal, December 1984

O (d) ⊗ O (d) symmetry of the space of cosmological solutions in string theory, scale factor duality, and two-dimensional black holes journal, November 1991

Target space duality in string theory journal, August 1994

Symmetries of cosmological superstring vacua journal, September 1991

Twisting classical solutions in heterotic string theory journal, May 1992

Scale factor duality for classical and quantum strings journal, August 1991

Background independent action for double field theory journal, July 2010

Green-Schwarz mechanism and α′-deformed Courant brackets journal, January 2015

Duality completion of higher derivative corrections journal, September 2013

Two and three loop α′ corrections to T-duality: Kasner and Schwarzschild journal, December 2004

Symmetries of higher-order string gravity actions
journal, January 1997

Noncompact symmetries in string theory
journal, January 1993

Generalized metric formulation of double field theory
journal, August 2010

Doubled α ′-geometry
journal, February 2014

T-duality and α′-corrections
journal, October 2015

Heterotic effective action and duality symmetries revisited
journal, February 2015

Order α′ (two-loop) equivalence of the string equations of motion and the σ-model Weyl invariance conditions
journal, January 1987

Double field theory
journal, September 2009

Double field theory at order α′
journal, November 2014

Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory
journal, December 1984

O (d) ⊗ O (d) symmetry of the space of cosmological solutions in string theory, scale factor duality, and two-dimensional black holes
journal, November 1991

Target space duality in string theory
journal, August 1994

Symmetries of cosmological superstring vacua
journal, September 1991

Twisting classical solutions in heterotic string theory
journal, May 1992

Scale factor duality for classical and quantum strings
journal, August 1991

Background independent action for double field theory
journal, July 2010

Green-Schwarz mechanism and α′-deformed Courant brackets
journal, January 2015

Duality completion of higher derivative corrections
journal, September 2013

Two and three loop α′ corrections to T-duality: Kasner and Schwarzschild
journal, December 2004