Euclidean M-theory background dual to a three-dimensional scale-invariant field theory without conformal invariance

We study scale invariant but not necessarily conformal invariant deformations of nonrelativistic conformal field theories from the dual gravity viewpoint. We present the corresponding metric that solves the Einstein equation coupled with a massive vector field. We find that, within the class of metric we study, when we assume the Galilean invariance, the scale invariant deformation always preserves the nonrelativistic conformal invariance. We discuss applications to scaling regime of Reggeon field theory and nonlinear quantum finance. These theories possess scale invariance but may or may not break the conformal invariance, depending on the underlying symmetry assumptions.

Download Full-text

Boundary conditions in topological AdS4/CFT3

Journal of High Energy Physics ◽

10.1007/jhep02(2021)156 ◽

2021 ◽

Vol 2021 (2) ◽

Author(s):

Pietro Benetti Genolini ◽

Matan Grinberg ◽

Paul Richmond

Keyword(s):

Field Theory ◽

Free Energy ◽

Boundary Conditions ◽

Smooth Solution ◽

Three Dimensional ◽

Field Theories ◽

Legendre Transformation ◽

Generating Functional ◽

Holographic Duals

Abstract We revisit the construction in four-dimensional gauged Spin(4) supergravity of the holographic duals to topologically twisted three-dimensional $$ \mathcal{N} $$ N = 4 field theories. Our focus in this paper is to highlight some subtleties related to preserving supersymmetry in AdS/CFT, namely the inclusion of finite counterterms and the necessity of a Legendre transformation to find the dual to the field theory generating functional. Studying the geometry of these supergravity solutions, we conclude that the gravitational free energy is indeed independent from the metric of the boundary, and it vanishes for any smooth solution.

Download Full-text

Colourful Poincaré symmetry, gravity and particle actions

Journal of High Energy Physics ◽

10.1007/jhep08(2021)047 ◽

2021 ◽

Vol 2021 (8) ◽

Author(s):

Joaquim Gomis ◽

Euihun Joung ◽

Axel Kleinschmidt ◽

Karapet Mkrtchyan

Keyword(s):

Field Theory ◽

Free Particle ◽

Three Dimensional ◽

Background Field ◽

Quantum Field ◽

Symmetry Factor ◽

Starting Point ◽

Poincaré Algebra ◽

Poincaré Symmetry ◽

Three Space

Abstract We construct a generalisation of the three-dimensional Poincaré algebra that also includes a colour symmetry factor. This algebra can be used to define coloured Poincaré gravity in three space-time dimensions as well as to study generalisations of massive and massless free particle models. We present various such generalised particle models that differ in which orbits of the coloured Poincaré symmetry are described. Our approach can be seen as a stepping stone towards the description of particles interacting with a non-abelian background field or as a starting point for a worldline formulation of an associated quantum field theory.

Download Full-text

Fibre-base duality of 5d KK theories

Journal of High Energy Physics ◽

10.1007/jhep05(2021)200 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Andreas P. Braun ◽

Jin Chen ◽

Babak Haghighat ◽

Marcus Sperling ◽

Shuhang Yang

Keyword(s):

Field Theory ◽

Field Theories ◽

Quantum Field ◽

Explicit Dependence ◽

Superconformal Field Theories ◽

Study Circle ◽

Rank 2 ◽

M Theory ◽

Kaluza Klein ◽

Theory Interpretation

Abstract We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-Yau 3-folds and match the prepotentials from geometry and field theory. One novelty in our approach is that we include explicit dependence on bare gauge couplings and mass parameters in the description which in turn leads to an accurate parametrisation of the prepotential including all parameters of the field theory. We find that the resulting geometries admit “fibre-base” duality which relates their six-dimensional origin with the purely five-dimensional quantum field theory interpretation. The fibre-base duality is realised simply by swapping base and fibre curves of compact surfaces in the local Calabi-Yau which can be viewed as the total space of the anti-canonical bundle over such surfaces. Our results show that such swappings precisely occur for surfaces with a zero self-intersection of the base curve and result in an exchange of the 6d and 5d pictures.

Download Full-text

THE NEXT STEP IN LEPTONIC DECAYS OF ETA AND KL BOUND STATES

International Journal of Modern Physics A ◽

10.1142/s0217751x92000843 ◽

1992 ◽

Vol 07 (09) ◽

pp. 1935-1951 ◽

Cited By ~ 5

Author(s):

G.A. KOZLOV

Keyword(s):

Field Theory ◽

Transition Form Factor ◽

Bound States ◽

Three Dimensional ◽

Bound State ◽

Quantum Field ◽

Relative Momentum ◽

Transition Form ◽

Structure Transition ◽

Leptonic Decays

A systematic discussion of the probability of eta and KL bound-state decays—[Formula: see text] and [Formula: see text](l=e, μ)—within a three-dimensional reduction to the two-body quantum field theory is presented. The bound-state vertex function depends on the relative momentum of constituent-like particles. A structure-transition form factor is defined by a confinement-type quark-antiquark wave function. The phenomenology of this kind of decays is analyzed.

Download Full-text

The classical double copy for M-theory from a Kerr-Schild ansatz for exceptional field theory

Journal of High Energy Physics ◽

10.1007/jhep04(2021)071 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

David S. Berman ◽

Kwangeon Kim ◽

Kanghoon Lee

Keyword(s):

Field Theory ◽

State Of The Art ◽

Single Copy ◽

Current State ◽

M Theory ◽

Double Copy

Abstract We construct the classical double copy formalism for M-theory. This extends the current state of the art by including the three form potential of eleven dimensional supergravity along with the metric. The key for this extension is to construct a Kerr-Schild type Ansatz for exceptional field theory. This Kerr-Schild Ansatz then allows us to find the solutions of charged objects such as the membrane from a set of single copy fields. The exceptional field theory formalism then automatically produces the IIB Kerr-Schild ansatz allowing the construction of the single copy for the fields of IIB supergravity (with manifest SL(2) symmetry).

Download Full-text

SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM

International Journal of Modern Physics A ◽

10.1142/s0217751x01003937 ◽

2001 ◽

Vol 16 (05) ◽

pp. 822-855 ◽

Cited By ~ 580

Author(s):

JUAN MALDACENA ◽

CARLOS NUÑEZ

Keyword(s):

Field Theory ◽

Conformal Field Theory ◽

Riemann Surface ◽

Riemann Surfaces ◽

Field Theories ◽

De Sitter ◽

Curved Manifolds ◽

Conformal Field ◽

Low Energies ◽

M Theory

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside K3 or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to AdS5. We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

Download Full-text

Collective forces of tumor spheroids in three-dimensional biopolymer networks

eLife ◽

10.7554/elife.51912 ◽

2020 ◽

Vol 9 ◽

Cited By ~ 4

Author(s):

Christoph Mark ◽

Thomas J Grundy ◽

Pamela L Strissel ◽

David Böhringer ◽

Nadine Grummel ◽

...

Keyword(s):

Single Cells ◽

Three Dimensional ◽

Traction Force ◽

Tumor Spheroids ◽

Scale Invariant ◽

Tissue Samples ◽

Force Microscopy ◽

Surrounding Matrix ◽

Highly Nonlinear ◽

Contractile Forces

We describe a method for quantifying the contractile forces that tumor spheroids collectively exert on highly nonlinear three-dimensional collagen networks. While three-dimensional traction force microscopy for single cells in a nonlinear matrix is computationally complex due to the variable cell shape, here we exploit the spherical symmetry of tumor spheroids to derive a scale-invariant relationship between spheroid contractility and the surrounding matrix deformations. This relationship allows us to directly translate the magnitude of matrix deformations to the total contractility of arbitrarily sized spheroids. We show that our method is accurate up to strains of 50% and remains valid even for irregularly shaped tissue samples when considering only the deformations in the far field. Finally, we demonstrate that collective forces of tumor spheroids reflect the contractility of individual cells for up to 1 hr after seeding, while collective forces on longer timescales are guided by mechanical feedback from the extracellular matrix.

Download Full-text