Nonrelativistic strings and limits of the AdS/CFT correspondence

By T. Harmark, J. Hartong, N. Obers. 2017

174 citations recorded by the source corpus.

Using target space null reduction of the Polyakov action, we find a novel covariant action for strings moving in a torsional Newton-Cartan geometry. Sending the string tension to zero while rescaling the Newton-Cartan clock 1-form, so as to keep the string action finite, we obtain a nonrelativistic string moving in a new type of non-Lorentzian geometry that we call U(1)-Galilean geometry. We apply this to strings on AdS5×S5 for which we show that the zero tension limit is realized by the spin matrix theory limits of the AdS/CFT correspondence. This is closely related to limits of spin chains studied in connection to integrability in AdS/CFT. The simplest example gives a covariant version of the Landau-Lifshitz sigma-model.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e7e6dc325af289012283e274aa15f13a70cee72d

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In Astronomy and Astrophysics

1. J. Hartong
2. N. Obers
3. Ziqi Yan
4. Eric Bergshoeff
5. Jan Rosseel
6. T. Harmark
7. Lorenzo Menculini
8. Joaquim Gomis

In Nuclear and High Energy Physics

1. J. Hartong
2. N. Obers
3. Ziqi Yan
4. Eric Bergshoeff
5. Jan Rosseel
6. T. Harmark
7. Lorenzo Menculini
8. Joaquim Gomis

In Statistical and Nonlinear Physics

1. J. Hartong
2. N. Obers
3. Ziqi Yan
4. Eric Bergshoeff
5. Jan Rosseel
6. Joaquim Gomis
7. Lorenzo Menculini
8. T. Harmark

Citations in the corpus

• String theory and string Newton–Cartan geometry (2019, methodology): “For other recent work on nonrelativistic strings, see [11–21].”
• Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence (2018, methodology): “This Lagrangian was previously found in [5] to describe strings on a TNC geometry given by τμ, mμ and hμν .”
• Nonrelativistic string theory and T-duality (2018, background): “Recently, there has been work on general relativity with a lightlike isometry direction in the context of nonrelativistic strings [10, 11], where a “null reduction” is applied to a relativistic string in order to obtain a string in a nonrelativistic background.”