Holographic Ward identities for symmetry breaking in two dimensions

@article{Argurio2016HolographicWI,
  title={Holographic Ward identities for symmetry breaking in two dimensions},
  author={Riccardo Argurio and Gaston Giribet and Andrea Marzolla and Daniel Naegels and J. An{\'i}bal Sierra-Garc{\'i}a},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2017},
  pages={1-17}
}
A bstractWe investigate symmetry breaking in two-dimensional field theories which have a holographic gravity dual. Being at large N, the Coleman theorem does not hold and Goldstone bosons are expected. We consider the minimal setup to describe a conserved current and a charged operator, and we perform holographic renormalization in order to find the correct Ward identities describing symmetry breaking. This involves some subtleties related to the different boundary conditions that a vector can… 

The Ward identity of Symmetry Breaking from Holographic Renormalization

Notes on holographic renormalization as a tool for UV analysis and derivation of the two-point Ward identity encoding symmetry breaking. Goldstone theorem is reviewed, discussing in particular the

Symmetry breaking in holographic theories with Lifshitz scaling

A bstractWe study holographically Lifshitz-scaling theories with broken symmetries. In order to do this, we set up a bulk action with a complex scalar and a massless vector on a background which

A holographic perspective on phonons and pseudo-phonons

A bstractWe analyze the concomitant spontaneous breaking of translation and conformal symmetries by introducing in a CFT a complex scalar operator that acquires a spatially dependent expectation

Holographic subdiffusion

We initiate a study of finite temperature transport in gapless and strongly coupled quantum theories with charge and dipole conservation using gauge-gravity duality. In a model with non-dynamical

On gravitational Phase Transitions, T-duality and Symmetry Breaking in AdS/CFT

In this thesis we study several problems in the context of AdS/CFT. The first is that of gravitational phase transitions between AdS and dS geometries in the Gauss-Bonnet theory of gravity. Such

Are there Goldstone bosons in d≤z+1 ?

We study the viability of spontaneous breaking of continuous symmetries in theories with Lifshitz scaling, according to the number of space-time dimensions $d$ and the dynamical scaling $z$. Then,

Black hole elasticity and gapped transverse phonons in holography

A bstractWe study the elastic response of planar black hole (BH) solutions in a simple class of holographic models with broken translational invariance. We compute the transverse quasi-normal mode

Independent Goldstone modes for translations and shift symmetry from a real modulated scalar

We study a massive real scalar field that breaks translation symmetry dynamically. Higher-gradient terms favour modulated configurations and neither finite density nor temperature are needed. In the

Holographic superconductivity in Einsteinian Cubic Gravity

We study the condensation of a charged scalar field in a (3 + 1)-dimensional asymptotically AdS background in the context of Einsteinian cubic gravity, featuring a holographic superconductor with

Simplest phonons and pseudo-phonons in field theory

We study the emergence of Nambu–Goldstone modes due to broken translation symmetry in field theory. Purely spontaneous breaking yields a massless phonon which develops a mass upon introducing a

References

SHOWING 1-10 OF 36 REFERENCES

Analytic pseudo-Goldstone bosons

A bstractWe consider the interplay between explicit and spontaneous symmetry breaking in strongly coupled field theories. Some well-known statements, such as the Gell-Mann-Oakes-Renner relation,

Holography and the Coleman-Mermin-Wagner theorem

In 2+1 dimensions at finite temperature, spontaneous symmetry breaking of global symmetries is precluded by large thermal fluctuations of the order parameter. The holographic correspondence implies

How to go with an RG flow

We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully compute

AdS2 holographic dictionary

A bstractWe construct the holographic dictionary for both running and constant dilaton solutions of the two dimensional Einstein-Maxwell-Dilaton theory that is obtained by a circle reduction from

A goldstino at the bottom of the cascade

A bstractWorking within a five-dimensional consistent truncation of type IIB super-gravity dimensionally reduced on T1,1, we consider supersymmetry breaking solutions with the asymptotics of the

Holographic Renormalization

Ads/CFT correspondence and symmetry breaking

There are no Goldstone bosons in two dimensions

In four dimensions, it is possible for a scalar field to have a vacuum expectation value that would be forbidden if the vacuum were invariant under some continuous transformation group, even though

Boundary conditions and unitarity: the Maxwell-Chern-Simons system in AdS3/CFT2

A bstractWe consider the holography of the Abelian Maxwell-Chern-Simons (MCS) system in Lorentzian three-dimensional asymptotically-AdS spacetimes, and discuss a broad class of boundary conditions

Stability in Gauged Extended Supergravity