Nonrelativistic closed string theory

By Joaquim Gomis, Hirosi Ooguri. 2000

334 citations recorded by the source corpus.

We construct a Galilean invariant nongravitational closed string theory whose excitations satisfy a nonrelativistic dispersion relation. This theory can be obtained by taking a consistent low energy limit of any of the conventional string theories, including the heterotic string. We give a finite first order worldsheet Hamiltonian for this theory and show that this string theory has a sensible perturbative expansion, interesting high energy behavior of scattering amplitudes and a Hagedorn transition of the thermal ensemble. The strong coupling duals of the Galilean superstring theories are considered and are shown to be described by an eleven-dimensional Galilean invariant theory of light membrane fluctuations. A new class of Galilean invariant nongravitational theories of light-brane excitations are obtained. We exhibit dual formulations of the strong coupling limits of these Galilean invariant theories and show that they exhibit many of the conventional dualities of M theory in a nonrelativistic setting.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8e89662b3d479e86e33cd3360200a0b202056e22

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Citations in the corpus

String theory and string Newton–Cartan geometry (2019, background): “Nonrelativistic String Theory from Relativistic String Theory Nonrelativistic string theory can be treated as a subtle limit of relativistic string theory, which is essentially the same as the noncommutative open string (NCOS) limit but without D-branes [4, 6].”
Galilean Conformal Algebras and AdS/CFT (2009, background): “e GCA with a possible inﬁnite dimensional dynamical extension. On the string theory side it should be possible to take a similar scaling limit along the lines of the non-relativistic limit studied in [51, 52, 53]. Below we will only consider features of this scaling limit when the parent bulk theory”
Non-relativistic superstrings: a new soluble sector of AdS5 × S5 (2005, methodology): “ld, which gives rise to non-relativistic open strings [12]. 6 The remaining “light” strings obey a non-relativistic dispersion relation which can be derived by either solving the Virasoro constraints [3] or by solving the diﬀeomorphism constraints [13], which are linear in the energy and thus non-re”
Non-relativistic superbranes (2004, methodology): “with a compensating kappa-transformation, with the result that δθ+ = ǫ+ + 1 2 γi∂ ix aΓ aǫ−, δx a = 2iθ +Γ aǫ −. (5.14) 6. Conclusions and Comments In this paper we have shown (extending earlier work [1, 2, 3, 4]) that there is a natural p-brane generalization of the non-relativistic limit of the ac”
Semiclassical relativistic strings in S 5 and long coherent operators in = 4 SYM theory (2004, background): “This limit is also reminiscent of the so called wrapped or nonrelativistic limit [35].”
Nonrelativistic string theory and T-duality (2018, methodology): “This sigma model extends the worldsheet theory in flat spacetime of [1] to arbitrary curved background fields.”
Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence (2018, methodology): “The Gomis–Ooguri string action was obtained in [25] by performing a large speed of light limit of the relativistic string in the background of a Kalb–Ramond 2-form.”