Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba, and H. Wang, Aspects of holography for theories with hyperscaling violation
Original
1905
Earlier work this paper cites.
S.L. Ziglin, Branching of solutions and non-existence of first integrals in Hamiltonian mechanics I
1982
Earlier work this paper cites.
S.L. Ziglin, Branching of solutions and non-existence of first integrals in Hamiltonian me- chanics II
1983
Earlier work this paper cites.
J. Kovacic, An Algorithm for Solving Second Order Linear Homogeneous Differential Equations
1986
Earlier work this paper cites.
A.T. Fomenko, Integrability and Nonintegrability in Geometry and Mechanics
1988
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
1998
Earlier work this paper cites.
J.J.M. Ruiz, Differential Galois theory and non-integrability of Hamiltonian Systems
1999
Earlier work this paper cites.
A.V. Frolov and A.L. Larsen, Chaotic scattering and capture of strings by black hole
1999
Earlier work this paper cites.
A. Goriely., Integrability and Nonintegrability of Dynamical Systems
2001
Earlier work this paper cites.
J.A. Minahan and K. Zarembo, The Bethe ansatz for N=4 superYang-Mills
2003
Earlier work this paper cites.
N. Beisert and M. Staudacher, The 𝒩 = 4 {\cal N}=4 SYM integrable super spin chain
2003
Earlier work this paper cites.
S. Kachru, X. Liu, and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points
Original
2008
Earlier work this paper cites.
C.P. Herzog, M. Rangamani and S. F. Ross, Heating up Galilean holography
Original
2008
Earlier work this paper cites.
D. Giataganas, Semi-classical Strings in Sasaki-Einstein Manifolds
Original
2009
Earlier work this paper cites.
T. Azeyanagi, W. Li, and T. Takayanagi, On String Theory Duals of Lifshitz-like Fixed Points
Original
2009
Earlier work this paper cites.

Similar

S. Schafer-Nameki, M. Yamazaki, and K. Yoshida, Coset Construction for Duals of Non-relativistic CFTs
Original
2009
Cited alongside, same era.
L.A. Pando Zayas and C.A. Terrero-Escalante, Chaos in the Gauge / Gravity Correspondence
Original
2010
Cited alongside, same era.
D. Giataganas, On the non-BPS string solutions in Sasaki-Einstein gauge / gravity duality
Original
2010
Cited alongside, same era.
S.A. Hartnoll, J. Polchinski, E. Silverstein, and D. Tong, Towards strange metallic holography
Original
2010
Cited alongside, same era.
K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions
Original

Then

D. Orlando, S. Reffert and L.I. Uruchurtu, Classical Integrability of the Squashed Three-sphere, Warped A d S 3 AdS_{3} and Schroedinger Spacetime via T-Duality
Original
2011
Later among the works it cites.
N. Beisert, C. Ahn, L.F. Alday, Z. Bajnok, J.M. Drummond, et al., Review of AdS/CFT Integrability: An Overview
Original
2012
Later among the works it cites.
P. Basu, D. Das, A. Ghosh, and L.A. Pando Zayas, Chaos around Holographic Regge Trajectories
Original
2012
Later among the works it cites.
D. Giataganas, Probing strongly coupled anisotropic plasma
Original
2012
Later among the works it cites.
K. Narayan, “On Lifshitz scaling and hyperscaling violation in string theory,”

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2014

Non-integrability in non-relativistic theories

Giataganas, Dimitrios, Sfetsos, Konstadinos

Understand

Generic non-relativistic theories giving rise to non-integrable string solutions are classified.

Our analysis boils down to a simple algebraic condition for the scaling parameters of the metric.
Particular cases are the Lifshitz and the anisotropic Lifshitz spacetimes, for which we find that for trivial dilaton dependence the only integrable physical theory is that for z=1.
For the hyperscaling violation theories we conclude that the vast majority of theories are non-integrable, while only for a small class of physical theories, where the Fermi surfaces belong to, integrability is not excluded.

Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba, and H. Wang, Aspects of holography for theories with hyperscaling violation
Original
1905
Earlier work this paper cites.
S.L. Ziglin, Branching of solutions and non-existence of first integrals in Hamiltonian mechanics I
1982
Earlier work this paper cites.
S.L. Ziglin, Branching of solutions and non-existence of first integrals in Hamiltonian me- chanics II
1983
Earlier work this paper cites.
J. Kovacic, An Algorithm for Solving Second Order Linear Homogeneous Differential Equations
1986
Earlier work this paper cites.
A.T. Fomenko, Integrability and Nonintegrability in Geometry and Mechanics
1988
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
1998
Earlier work this paper cites.
J.J.M. Ruiz, Differential Galois theory and non-integrability of Hamiltonian Systems
1999
Earlier work this paper cites.
A.V. Frolov and A.L. Larsen, Chaotic scattering and capture of strings by black hole
1999
Earlier work this paper cites.
A. Goriely., Integrability and Nonintegrability of Dynamical Systems
2001
Earlier work this paper cites.
J.A. Minahan and K. Zarembo, The Bethe ansatz for N=4 superYang-Mills
2003
Earlier work this paper cites.
N. Beisert and M. Staudacher, The 𝒩 = 4 {\cal N}=4 SYM integrable super spin chain
2003
Earlier work this paper cites.
S. Kachru, X. Liu, and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points
Original
2008
Earlier work this paper cites.
C.P. Herzog, M. Rangamani and S. F. Ross, Heating up Galilean holography
Original
2008
Earlier work this paper cites.
D. Giataganas, Semi-classical Strings in Sasaki-Einstein Manifolds
Original
2009
Earlier work this paper cites.
T. Azeyanagi, W. Li, and T. Takayanagi, On String Theory Duals of Lifshitz-like Fixed Points
Original
2009
Earlier work this paper cites.