An index for quantum integrability

doi:10.21468/SciPostPhys.7.5.065

Title: An index for quantum integrability

Authors:

Komatsu, Shota ^[1]; Mahajan, Raghu ^[2]; Shao, Shu-Heng ^[1]

Institute for Advanced Study, Princeton University
Institute for Advanced Study, Princeton University, Princeton University

Publication Date:: 2019-11-26

Sponsoring Org.:: USDOE

OSTI Identifier:: 1575848

Grant/Contract Number:: SC0009988; SC0016244

Resource Type:: Published Article

Journal Name:: SciPost Physics Proceedings

Additional Journal Information:: Journal Name: SciPost Physics Proceedings Journal Volume: 7 Journal Issue: 5; Journal ID: ISSN 2542-4653

Publisher:: Stichting SciPost

Country of Publication:: Netherlands

Language:: English

Citation Formats


                    Komatsu, Shota, Mahajan, Raghu, and Shao, Shu-Heng. An index for quantum integrability.  Netherlands: N. p., 2019. 
        Web.  doi:10.21468/SciPostPhys.7.5.065.

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                    Komatsu, Shota, Mahajan, Raghu, & Shao, Shu-Heng. An index for quantum integrability.  Netherlands.  doi:10.21468/SciPostPhys.7.5.065.

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                    Komatsu, Shota, Mahajan, Raghu, and Shao, Shu-Heng. Tue .  
        "An index for quantum integrability".  Netherlands.  doi:10.21468/SciPostPhys.7.5.065.

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@article{osti_1575848,

  title        = {An index for quantum integrability},

  author       = {Komatsu, Shota and Mahajan, Raghu and Shao, Shu-Heng},

  abstractNote = {},

  doi          = {10.21468/SciPostPhys.7.5.065},

  journal      = {SciPost Physics Proceedings},

  number       = 5,

  volume       = 7,

  place        = {Netherlands},

  year         = {2019},

  month        = {11}

}

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DOI: 10.21468/SciPostPhys.7.5.065

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Works referenced in this record:

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Mixed global anomalies and boundary conformal field theories
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Nonlocal charge of the $C P^{n - 1}$ model and its supersymmetric extension to all orders
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Integrable sigma models and perturbed coset models
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Haldane limits via Lagrangian embeddings
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Title: An index for quantum integrability

Citation Formats

Higher local conservation laws for nonlinear sigma models on symmetric spaces journal, November 1981

On the integrability of two-dimensional models with symmetry journal, January 2013

On the origin of anomalies in the quantum non-local charge for the generalized non-linear sigma models journal, September 1982

Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models journal, August 1979

Strings on semisymmetric superspaces journal, May 2010

Global anomalies on orbifolds journal, September 1987

Theta, time reversal and temperature journal, May 2017

Integrable properties of σ-models with non-symmetric target spaces journal, May 2015

The Geometry of Antiferromagnetic Spin Chains journal, May 2013

Anomalies and bounds on charged operators journal, July 2019

Integrable deformations of the O(3) sigma model. The sausage model journal, October 1993

Quantum non-local charges and absence of particle production in the two-dimensional non-linear σ-model journal, March 1978

Intrinsic and emergent anomalies at deconfined critical points journal, August 2018

Nonlocal symmetries and factorized scattering journal, November 2018

Flag manifold σ-models: The 1 N -expansion and the anomaly two-form journal, April 2019

Classical integrability of Schrödinger sigma models and q-deformed Poincaré symmetry journal, November 2011

Operator bases, S-matrices, and their partition functions journal, October 2017

An Index for 4 Dimensional Super Conformal Theories journal, June 2007

Symbolic integration with respect to the Haar measure on the unitary groups journal, February 2017

Generalization of the Haldane conjecture to SU(3) chains journal, November 2017

Quantum, higher-spin, local charges in symmetric space sigma models journal, January 2005

Non-local charges and quantum integrability of sigma models on the symmetric spaces SO(2n)/SO(n)×SO(n) and Sp(2n)/Sp(n)×Sp(n) journal, September 2004

Absence of particle production and factorization of the S-matrix in 1 + 1 dimensional models journal, November 1980

Quantum integrability of sigma models on AII and CII symmetric spaces journal, February 2003

Anomaly in the nonlocal quantum charge of the C P n − 1 model journal, April 1981

Integrability of non-linear sigma models journal, April 1986

Phase structure of the twisted SU(3)/U(1)2 flag sigma model on ℝ × S1 journal, February 2019

Mixed global anomalies and boundary conformal field theories journal, November 2018

Nonlocal charge of the C P n − 1 model and its supersymmetric extension to all orders journal, February 1983

Integrable sigma models and perturbed coset models journal, May 2001

Haldane limits via Lagrangian embeddings journal, February 2012

Aspects of quantum integrability for pure spinor superstring in AdS 5 × S 5 journal, September 2008

Conservation laws in some two-dimensional models journal, April 1980

Scattering of massless lumps and non-local charges in the two-dimensional classical non-linear σ-model journal, May 1978

Commuting charges and symmetric spaces journal, June 2000

Sigma models on flags journal, January 2019

Constraining integrable AdS/CFT with factorized scattering journal, April 2019

Relativistic factorized S-matrix in two dimensions having O(N) isotopic symmetry journal, February 1978

Classical integrability of the squashed three-sphere, warped AdS 3 and Schrödinger spacetime via T-duality journal, February 2011

Integrable sigma models with θ = π journal, February 2001

Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti–de Sitter space journal, November 2017

S matrix of the supersymmetric nonlinear σ model journal, April 1978

Classifying integrable symmetric space strings via factorized scattering journal, February 2018

Coset construction for duals of non-relativistic CFTs journal, May 2009

Anomaly and global inconsistency matching: θ angles, S U ( 3 ) / U ( 1 ) 2 nonlinear sigma model, S U ( 3 ) chains, and generalizations journal, September 2018

Massless factorized scattering and sigma models with topological terms journal, July 1992

Higher local conservation laws for nonlinear sigma models on symmetric spaces
journal, November 1981

On the integrability of two-dimensional models with symmetry
journal, January 2013

On the origin of anomalies in the quantum non-local charge for the generalized non-linear sigma models
journal, September 1982

Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
journal, August 1979

Strings on semisymmetric superspaces
journal, May 2010

Global anomalies on orbifolds
journal, September 1987

Theta, time reversal and temperature
journal, May 2017

Integrable properties of σ-models with non-symmetric target spaces
journal, May 2015

The Geometry of Antiferromagnetic Spin Chains
journal, May 2013

Anomalies and bounds on charged operators
journal, July 2019

Integrable deformations of the O(3) sigma model. The sausage model
journal, October 1993

Quantum non-local charges and absence of particle production in the two-dimensional non-linear σ-model
journal, March 1978

Intrinsic and emergent anomalies at deconfined critical points
journal, August 2018

Nonlocal symmetries and factorized scattering
journal, November 2018

Flag manifold σ-models: The $\frac{1}{N}$ -expansion and the anomaly two-form
journal, April 2019

Classical integrability of Schrödinger sigma models and q-deformed Poincaré symmetry
journal, November 2011

Operator bases, S-matrices, and their partition functions
journal, October 2017

An Index for 4 Dimensional Super Conformal Theories
journal, June 2007

Symbolic integration with respect to the Haar measure on the unitary groups
journal, February 2017

Generalization of the Haldane conjecture to SU(3) chains
journal, November 2017

Quantum, higher-spin, local charges in symmetric space sigma models
journal, January 2005

Non-local charges and quantum integrability of sigma models on the symmetric spaces SO(2n)/SO(n)×SO(n) and Sp(2n)/Sp(n)×Sp(n)
journal, September 2004

Absence of particle production and factorization of the S-matrix in 1 + 1 dimensional models
journal, November 1980

Quantum integrability of sigma models on AII and CII symmetric spaces
journal, February 2003

Anomaly in the nonlocal quantum charge of the $C P^{n - 1}$ model
journal, April 1981

Integrability of non-linear sigma models
journal, April 1986

Phase structure of the twisted SU(3)/U(1)2 flag sigma model on ℝ × S1
journal, February 2019

Mixed global anomalies and boundary conformal field theories
journal, November 2018

Nonlocal charge of the $C P^{n - 1}$ model and its supersymmetric extension to all orders
journal, February 1983

Integrable sigma models and perturbed coset models
journal, May 2001

Haldane limits via Lagrangian embeddings
journal, February 2012

Aspects of quantum integrability for pure spinor superstring in AdS ₅ × S ⁵
journal, September 2008

Conservation laws in some two-dimensional models
journal, April 1980

Scattering of massless lumps and non-local charges in the two-dimensional classical non-linear σ-model
journal, May 1978

Commuting charges and symmetric spaces
journal, June 2000

Sigma models on flags
journal, January 2019

Constraining integrable AdS/CFT with factorized scattering
journal, April 2019

Relativistic factorized S-matrix in two dimensions having O(N) isotopic symmetry
journal, February 1978

Classical integrability of the squashed three-sphere, warped AdS ₃ and Schrödinger spacetime via T-duality
journal, February 2011

Integrable sigma models with $θ = π$
journal, February 2001

Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti–de Sitter space
journal, November 2017

$S$ matrix of the supersymmetric nonlinear $σ$ model
journal, April 1978

Classifying integrable symmetric space strings via factorized scattering
journal, February 2018

Coset construction for duals of non-relativistic CFTs
journal, May 2009

Anomaly and global inconsistency matching: $θ$ angles, $S U (3) / U {(1)}^{2}$ nonlinear sigma model, $S U (3)$ chains, and generalizations
journal, September 2018

Massless factorized scattering and sigma models with topological terms
journal, July 1992