## 45 Citations

Stochastic quantization of the spherical model and supersymmetry

- Physics
- 2013

We use the stochastic quantization method to construct a supersymmetric version of the quantum spherical model. This is based on the equivalence between the Brownian motion described by a Langevin…

Stochastic quantization and holographic Wilsonian renormalization group of scalar theories with arbitrary mass

- Physics
- 2016

We explore the mathematical relation between stochastic quantization (SQ) and the holographic Wilsonian renormalization group (HWRG) of a massive scalar field defined in asymptotically anti--de…

Non-compact Quantum Spin Chains as Integrable Stochastic Particle Processes

- MathematicsJournal of Statistical Physics
- 2019

In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional lattice, related to those studied previously in [Sasamoto-Wadati], [Barraquand-Corwin] and…

Causal random geometry from stochastic quantization

- Physics
- 2010

In this short note we review a recently found formulation of two-dimensional causal quantum gravity defined through Causal Dynamical Triangulations and stochastic quantization. This procedure enables…

Relating gauge theories via Gauge/Bethe correspondence

- Physics
- 2010

In this note, we use techniques from integrable systems to study relations between gauge theories. The Gauge/Bethe correspondence, introduced by Nekrasov and Shatashvili, identifies the…

Kähler-Einstein metrics emerging from free fermions and statistical mechanics

- Physics, Mathematics
- 2011

We propose a statistical mechanical derivation of Kähler-Einstein metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean signature (with a cosmological constant) on a compact…

Stochastic quantization and holographic Wilsonian renormalization group of massless fermions in AdS

- Physics
- 2014

We have studied holographic Wilsonian renormalization group (HWRG) of free massless fermionic fields in AdS space and its stochastic quantization (SQ) by identifying the Euclidean action with its…

Holomorphic structure and quantum critical points in supersymmetric Lifshitz field theories

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We construct supersymmetric Lifshitz field theories with four real supercharges in a general number of space dimensions. The theories consist of complex bosons and fermions and exhibit a…

## References

SHOWING 1-10 OF 34 REFERENCES

Quantum Calabi-Yau and Classical Crystals

- Mathematics
- 2003

We propose a new duality involving topological strings in the limit of the large string coupling constant. The dual is described in terms of a classical statistical mechanical model of crystal…

Quantum foam and topological strings

- Physics, Mathematics
- 2008

We find an interpretation of the recent connection found between topological strings on Calabi-Yau threefolds and crystal melting: Summing over statistical mechanical configuration of melting crystal…

Membranes at Quantum Criticality

- Physics
- 2008

We propose a quantum theory of membranes designed such that the ground-state wavefunction of the membrane with compact spatial topology Σh reproduces the partition function of the bosonic string on…

Quantum Field Theory with Extra Dimensions

- Physics
- 2002

We explain that a bulk with arbitrary dimensions can be added to the space over which a quantum field theory is defined. This gives a TQFT such that its correlation functions in a slice are the same…

From classical to quantum dynamics at Rokhsar–Kivelson points

- Physics
- 2003

For any classical statistical-mechanics model with a discrete state space, and endowed with a dynamics satisfying detailed balance, it is possible to generalize the Rokhsar–Kivelson point for the…

Quantum Gravity at a Lifshitz Point

- Physics
- 2009

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space…

Topological M-theory as unification of form theories of gravity

- Physics
- 2004

We introduce a notion of topological M-theory and argue that it provides a unification of form theories of gravity in various dimensions. Its classical solutions involve G_2 holonomy metrics on…