Built on

L.D. Faddeev, N.Yu. Reshetikhin. “Integrability Of The Principal Chiral Field Model In 1+1 Dimensions”. Annals Phys. 167 (1986) 227
1986
Earlier work this paper cites.
N. Berkovits. “The Ten-Dimensional Green-Schwarz Superstring Is A Twisted Neveu-Schwarz-Ramond String”. Nucl.Phys. B420 (1994) 332. hep-th/9308129
1994
Earlier work this paper cites.
N. Berkovits. “Covariant Quantization Of The Green-Schwarz Superstring In A Calabi-Yau Background”. Nucl.Phys. B431 (1994) 258-272. hep-th/9404162
1994
Earlier work this paper cites.
N. Berkovits, C. Vafa, E. Witten. “Conformal Field Theory Of AdS Background With Ramond-Ramond Flux”. JHEP 9903 (1999) 018. hep-th/9902098
1999
Earlier work this paper cites.
N. Berkovits. “Quantization Of The Superstring With Manifest U ⁡ ( 5 ) U(5) Super-Poincare Invariance”. Phys.Lett. B457 (1999) 94-100. hep-th/9902099
1999
Earlier work this paper cites.
N. Berkovits, M. Bershadsky, T. Hauer, S. Zhukov and B. Zwiebach. “Superstring Theory On A d S 2 × S 2 AdS_{2}\times S^{2} As A Coset Supermanifold”. Nucl.Phys. B567 (2000) 61-86. hep-th/9907200v2
2000
Earlier work this paper cites.
N. Berkovits. “Quantization Of The Superstring In Ramond-Ramond Backgrounds”. Class.Quant.Grav. 17 (2000) 971-978. hep-th/9910251
2000
Earlier work this paper cites.
N. Berkovits. “Super-Poincaré Covariant Quantization Of The Superstring”. JHEP 0004 (2000) 018. hep-th/0001035
2000
Earlier work this paper cites.
R.R. Metsaev, A.A. Tseytlin. “Superparticle And Superstring In A d S 3 × S 3 AdS_{3}\times S^{3} Ramond-Ramond Background In Light-Cone Gauge”. J.Math.Phys. 42 (2001) 2987-3014. hep-th/0011191
2001
Earlier work this paper cites.
Ctirad Klimcik. “Yang-Baxter Sigma Models And d S / A d S dS/AdS T-Duality”. JHEP 0212 (2002) 051. e-Print: hep-th/0210095
2002
Earlier work this paper cites.
B. C. Vallilo. “Flat Currents In The Classical A d S 5 × S 5 AdS_{5}\times S^{5} Pure Spinor Superstring ”. JHEP 0403 (2004) 037. hep-th/0307018
2004
Earlier work this paper cites.
M. Bianchi, J. Kluson. “Current Algebra Of The Pure Spinor Superstring In A d S 5 × S 5 AdS_{5}\times S^{5} ”. JHEP 0608 (2006) 030. hep-th/0606188
2006
Earlier work this paper cites.
Ido Adam, Amit Dekel, Luca Mazzucato, Yaron Oz. “Integrability Of Type II Superstrings On Ramond-Ramond Backgrounds In Various Dimensions”. JHEP 0706 (2007) 085. hep-th/0702083
2007
Earlier work this paper cites.
G. Arutyunov, S. Frolov. “Superstrings On A d S 4 × ℂ P 3 AdS_{4}\times\mathbb{C}P^{3} As A Coset Sigma Model ”. JHEP 0809 (2008) 129. arXiv:0806.4940
Original
2008
Earlier work this paper cites.
M. Grigoriev, Arkady A. Tseytlin. “Pohlmeyer Reduction Of A d S 5 × S 5 AdS_{5}\times S^{5} Superstring Sigma Model ”. Nucl.Phys. B800 (2008) 450-501. arXiv:0711.0155
Original
2008
Earlier work this paper cites.
A. Mikhailov, S. Schafer-Nameki. “Sine-Gordon-Like Action For The Superstring In A d S 5 × S 5 AdS_{5}\times S^{5} ”. JHEP 0805 (2008) 075. arXiv:0711.0195
Original
2008
Earlier work this paper cites.
J. Luis Miramontes. “Pohlmeyer Reduction Revisited”. JHEP 0810 (2008) 087. arXiv:0808.3365
Original
2008
Earlier work this paper cites.

Similar

Marc Magro. “The Classical Exchange Algebra Of A d S 5 × S 5 AdS_{5}\times S^{5} String Theory”. JHEP 0901 (2009) 021. arXiv:0810.4136
Original
2009
Cited alongside, same era.
J.F. Gomes, D.M. Schmidtt, A.H. Zimerman. “Super WZNW With Reductions To Supersymmetric And Fermionic Integrable Models”. Nucl.Phys. B821 (2009) 553-576. arXiv:0901.4040
Original
2009
Cited alongside, same era.
David M. Schmidtt. “Supersymmetry Of Affine Toda Models As Fermionic Symmetry Flows Of The Extended mKdV Hierarchy”. SIGMA 6 (2010) 043. arXiv:0909.3109
Original
2010
Cited alongside, same era.
K. Zarembo. “Strings On Semisymmetric Superspaces”. JHEP 1005 (2010) 002. arXiv:1003.0465
Original
2010
Cited alongside, same era.
B. Hoare, T. J. Hollowood, J. L. Miramontes. “A Relativistic Relative Of The Magnon S-Matrix”. JHEP 1111 (2011) 048. arXiv:1107.0628

Then

Timothy J. Hollowood, J. Luis Miramontes, David M. Schmidtt. “An Integrable Deformation of the A d S 5 × S 5 AdS_{5}\times S^{5} Superstring”. J.Phys. A47 (2014) no.49, 495402. arXiv:1409.1538
Original
2014
Later among the works it cites.
K. Sfetsos. “Integrable Interpolations: From Exact CFTs To Non-Abelian T-duals”. Nucl.Phys. B880 (2014) 225-246. arXiv:1312.4560
Original
2014
Later among the works it cites.
K. Sfetsos, Daniel C. Thompson. “Spacetimes For λ \lambda -Deformations”. JHEP 1412 (2014) 164. arXiv:1410.1886
Original
2014
Later among the works it cites.
Georgios Itsios, Konstadinos Sfetsos, Konstantinos Siampos. “The All-Loop Non-Abelian Thirring Model And Its RG Flow”. Phys.Lett. B733 (2014) 265-269. arXiv:1404.3748
Original
2014
Later among the works it cites.

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2016

Exploring The Lambda Model Of The Hybrid Superstring

Schmidtt, David M.

Understand

The purpose of this contribution is to initiate the study of integrable deformations for different superstring theory formalisms that manifest the property of (classical) integrability.

In this paper we choose the hybrid formalism of the superstring in the background AdS_{2}xS^{2} and explore in detail the most immediate consequences of its lambda-deformation.
The resulting action functional corresponds to the lambda-model of the matter part of the fairly more sophisticated pure spinor formalism, which is also known to be classical integrable.
In particular, the deformation preserves the integrability and the one-loop conformal invariance of its parent theory, hence being a marginal deformation.

Built on

L.D. Faddeev, N.Yu. Reshetikhin. “Integrability Of The Principal Chiral Field Model In 1+1 Dimensions”. Annals Phys. 167 (1986) 227
1986
Earlier work this paper cites.
N. Berkovits. “The Ten-Dimensional Green-Schwarz Superstring Is A Twisted Neveu-Schwarz-Ramond String”. Nucl.Phys. B420 (1994) 332. hep-th/9308129
1994
Earlier work this paper cites.
N. Berkovits. “Covariant Quantization Of The Green-Schwarz Superstring In A Calabi-Yau Background”. Nucl.Phys. B431 (1994) 258-272. hep-th/9404162
1994
Earlier work this paper cites.
N. Berkovits, C. Vafa, E. Witten. “Conformal Field Theory Of AdS Background With Ramond-Ramond Flux”. JHEP 9903 (1999) 018. hep-th/9902098
1999
Earlier work this paper cites.
N. Berkovits. “Quantization Of The Superstring With Manifest U ⁡ ( 5 ) U(5) Super-Poincare Invariance”. Phys.Lett. B457 (1999) 94-100. hep-th/9902099
1999
Earlier work this paper cites.
N. Berkovits, M. Bershadsky, T. Hauer, S. Zhukov and B. Zwiebach. “Superstring Theory On A d S 2 × S 2 AdS_{2}\times S^{2} As A Coset Supermanifold”. Nucl.Phys. B567 (2000) 61-86. hep-th/9907200v2
2000
Earlier work this paper cites.
N. Berkovits. “Quantization Of The Superstring In Ramond-Ramond Backgrounds”. Class.Quant.Grav. 17 (2000) 971-978. hep-th/9910251
2000
Earlier work this paper cites.
N. Berkovits. “Super-Poincaré Covariant Quantization Of The Superstring”. JHEP 0004 (2000) 018. hep-th/0001035
2000
Earlier work this paper cites.
R.R. Metsaev, A.A. Tseytlin. “Superparticle And Superstring In A d S 3 × S 3 AdS_{3}\times S^{3} Ramond-Ramond Background In Light-Cone Gauge”. J.Math.Phys. 42 (2001) 2987-3014. hep-th/0011191
2001
Earlier work this paper cites.
Ctirad Klimcik. “Yang-Baxter Sigma Models And d S / A d S dS/AdS T-Duality”. JHEP 0212 (2002) 051. e-Print: hep-th/0210095
2002
Earlier work this paper cites.
B. C. Vallilo. “Flat Currents In The Classical A d S 5 × S 5 AdS_{5}\times S^{5} Pure Spinor Superstring ”. JHEP 0403 (2004) 037. hep-th/0307018
2004
Earlier work this paper cites.
M. Bianchi, J. Kluson. “Current Algebra Of The Pure Spinor Superstring In A d S 5 × S 5 AdS_{5}\times S^{5} ”. JHEP 0608 (2006) 030. hep-th/0606188
2006
Earlier work this paper cites.
Ido Adam, Amit Dekel, Luca Mazzucato, Yaron Oz. “Integrability Of Type II Superstrings On Ramond-Ramond Backgrounds In Various Dimensions”. JHEP 0706 (2007) 085. hep-th/0702083
2007
Earlier work this paper cites.
G. Arutyunov, S. Frolov. “Superstrings On A d S 4 × ℂ P 3 AdS_{4}\times\mathbb{C}P^{3} As A Coset Sigma Model ”. JHEP 0809 (2008) 129. arXiv:0806.4940
Original
2008
Earlier work this paper cites.
M. Grigoriev, Arkady A. Tseytlin. “Pohlmeyer Reduction Of A d S 5 × S 5 AdS_{5}\times S^{5} Superstring Sigma Model ”. Nucl.Phys. B800 (2008) 450-501. arXiv:0711.0155
Original
2008
Earlier work this paper cites.
A. Mikhailov, S. Schafer-Nameki. “Sine-Gordon-Like Action For The Superstring In A d S 5 × S 5 AdS_{5}\times S^{5} ”. JHEP 0805 (2008) 075. arXiv:0711.0195
Original
2008
Earlier work this paper cites.
J. Luis Miramontes. “Pohlmeyer Reduction Revisited”. JHEP 0810 (2008) 087. arXiv:0808.3365
Original
2008
Earlier work this paper cites.

Similar

Marc Magro. “The Classical Exchange Algebra Of A d S 5 × S 5 AdS_{5}\times S^{5} String Theory”. JHEP 0901 (2009) 021. arXiv:0810.4136
Original
2009
Cited alongside, same era.
J.F. Gomes, D.M. Schmidtt, A.H. Zimerman. “Super WZNW With Reductions To Supersymmetric And Fermionic Integrable Models”. Nucl.Phys. B821 (2009) 553-576. arXiv:0901.4040
Original
2009
Cited alongside, same era.
David M. Schmidtt. “Supersymmetry Of Affine Toda Models As Fermionic Symmetry Flows Of The Extended mKdV Hierarchy”. SIGMA 6 (2010) 043. arXiv:0909.3109
Original
2010
Cited alongside, same era.
K. Zarembo. “Strings On Semisymmetric Superspaces”. JHEP 1005 (2010) 002. arXiv:1003.0465
Original
2010
Cited alongside, same era.
B. Hoare, T. J. Hollowood, J. L. Miramontes. “A Relativistic Relative Of The Magnon S-Matrix”. JHEP 1111 (2011) 048. arXiv:1107.0628

Then

Timothy J. Hollowood, J. Luis Miramontes, David M. Schmidtt. “An Integrable Deformation of the A d S 5 × S 5 AdS_{5}\times S^{5} Superstring”. J.Phys. A47 (2014) no.49, 495402. arXiv:1409.1538
Original
2014
Later among the works it cites.
K. Sfetsos. “Integrable Interpolations: From Exact CFTs To Non-Abelian T-duals”. Nucl.Phys. B880 (2014) 225-246. arXiv:1312.4560
Original
2014
Later among the works it cites.
K. Sfetsos, Daniel C. Thompson. “Spacetimes For λ \lambda -Deformations”. JHEP 1412 (2014) 164. arXiv:1410.1886
Original
2014
Later among the works it cites.
Georgios Itsios, Konstadinos Sfetsos, Konstantinos Siampos. “The All-Loop Non-Abelian Thirring Model And Its RG Flow”. Phys.Lett. B733 (2014) 265-269. arXiv:1404.3748
Original
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

David M. Schmidtt. “Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction”. JHEP 1103 (2011) 021. arXiv:1012.4713

Original

2011

Cited alongside, same era.

David M. Schmidtt. “Integrability Vs Supersymmetry: Poisson Structures Of The Pohlmeyer Reduction”. JHEP 1111 (2011) 067. arXiv:1106.4796

Original

2011

Cited alongside, same era.

Timothy J. Hollowood, J. Luis Miramontes. “The A d S 5 × S 5 AdS_{5}\times S^{5} Semi-Symmetric Space Sine-Gordon Theory ”.JHEP 1105 (2011) 136. arXiv:1104.2429

Original

2011

Cited alongside, same era.

B. Hoare, T. J. Hollowood,J. L. Miramontes. “q-Deformation of the A d S 5 × S 5 AdS_{5}\times S^{5} Superstring S-Matrix And Its Relativistic Limit”. JHEP 1203 (2012) 015. arXiv:1112.4485

Original

2012

Cited alongside, same era.

B. Hoare, T. J. Hollowood, J. L. Miramontes. “Bound States Of The q-Deformed A d S 5 × S 5 AdS_{5}\times S^{5} Superstring S-Matrix”. JHEP 1210 (2012) 076. arXiv:1206.0010

Original

2012

Cited alongside, same era.

Francois Delduc, Marc Magro, Benoit Vicedo. “Alleviating The Non-Ultralocality Of The A d S 5 × S 5 AdS_{5}\times S^{5} Superstring”. JHEP 1210 (2012) 061. arXiv:1206.6050

Original

2012

Cited alongside, same era.

Francois Delduc, Marc Magro, Benoit Vicedo. “On Classical q q -Deformations Of Integrable Sigma-Models”. JHEP 1311 (2013) 192. arXiv:1308.3581

Original

2013

Cited alongside, same era.

Konstadinos Sfetsos, Konstadinos Siampos. “Gauged WZW-Type Theories And The All-Loop Anisotropic Non-Abelian Thirring Model”. Nucl.Phys. B885 (2014) 583-599. arXiv:1405.7803

Original

2014

Later among the works it cites.

K. Sfetsos, K. Siampos, D. C. Thompson. “Generalised Integrable λ \lambda And η \eta -Deformations And Their Relation ”. Nucl.Phys. B899 (2015) 489-512. arXiv:1506.05784

Original

2015

Later among the works it cites.

B. Hoare, A.A. Tseytlin. “On Integrable Deformations Of Superstring Sigma Models Related To A d S n × S n AdS_{n}\times S^{n} Supercosets”. Nucl.Phys. B897 (2015) 448-478. arXiv:1504.07213

Original

2015

Later among the works it cites.

Benoit Vicedo. “Deformed Integrable σ \sigma -Models, Classical R-Matrices And Classical Exchange Algebra On Drinfel’d Doubles ”. J.Phys. A48 (2015) no.35, 355203. arXiv:1504.06303