Extended Galilean symmetries of non-relativistic strings View Full Text


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Article Info

DATE

2017-02

AUTHORS

Carles Batlle, Joaquim Gomis, Daniel Not

ABSTRACT

We consider two non-relativistic strings and their Galilean symmetries. These strings are obtained as the two possible non-relativistic (NR) limits of a relativistic string. One of them is non-vibrating and represents a continuum of non-relativistic massless particles, and the other one is a non-relativistic vibrating string. For both cases we write the generator of the most general point transformation and impose the condition of Noether symmetry. As a result we obtain two sets of non-relativistic Killing equations for the vector fields that generate the symmetry transformations. Solving these equations shows that NR strings exhibit two extended, infinite dimensional space-time symmetries which contain, as a subset, the Galilean symmetries. For each case, we compute the associated conserved charges and discuss the existence of non-central extensions. More... »

PAGES

49

References to SciGraph publications

  • 2002-04-08. Strings in flat space and pp waves from đť’© = 4 Super Yang Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-11-20. Non-relativistic superbranes in JOURNAL OF HIGH ENERGY PHYSICS
  • 1969-03. Group-theoretical foundations of classical mechanics: The Lagrangian gauge problem in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2013-02. Non-relativistic holography from HoĹ™ava gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-06. Galileons as Wess-Zumino terms in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-05. Tensionless strings and Galilean Conformal Algebra in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-04. The Large-N Limit of Superconformal Field Theories and Supergravity in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2015-12. Scalar Field Theories with Polynomial Shift Symmetries in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2016-11. Symmetries and couplings of non-relativistic electrodynamics in JOURNAL OF HIGH ENERGY PHYSICS
  • 1972-06. Hooke’s symmetries and nonrelativistic cosmological kinematics. — I in IL NUOVO CIMENTO B (1971-1996)
  • 2000-10-10. IIA/B, wound and wrapped in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-01. HoĹ™ava-Lifshitz gravity and effective theory of the fractional quantum Hall effect in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-04. Galilean Yang-Mills theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-11. Galilean conformal electrodynamics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2005-12-13. Non-relativistic superstrings: a new soluble sector of AdS5 Ă— S5 in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-05. Comments on Galilean conformal field theories and their geometric realization in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-07-10. Galilean conformal algebras and AdS/CFT in JOURNAL OF HIGH ENERGY PHYSICS
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    DOI

    http://dx.doi.org/10.1007/jhep02(2017)049

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