scholarly journals New AdS4 vacua in dyonic ISO(7) gauged supergravity

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Nikolay Bobev ◽  
Thomas Fischbacher ◽  
Fridrik Freyr Gautason ◽  
Krzysztof Pilch
Keyword(s):  
Scalar Fields ◽  
Global Symmetry ◽  
Supergravity Theory

Abstract We identify 219 AdS4 solutions in four-dimensional dyonically gauged ISO(7) $$ \mathcal{N} $$ N = 8 supergravity and present some of their properties. One of the new solutions preserves $$ \mathcal{N} $$ N = 1 supersymmetry and provides a rare explicit example of an AdS4 vacuum dual to a 3d SCFT with no continuous global symmetry. There are also two new non-supersymmetric solutions for which all 70 scalar fields in the supergravity theory have masses above the BF bound. All of these AdS4 solutions can be uplifted to massive type IIA supergravity. Motivated by this we present the low lying operator spectra of the dual 3d CFTs for all known supersymmetric AdS4 solutions in the theory and organize them into superconformal multiplets.

scholarly journals A composite Higgs with a heavy composite axion

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Tony Gherghetta ◽  
Minh D. Nguyen
Keyword(s):  
Cp Violation ◽  
Gauge Group ◽  
Scalar Fields ◽  
Higgs Model ◽  
Global Symmetry ◽  
Color Group ◽  
High Scale ◽  
Axion Mass ◽  
Composite Higgs ◽  
The Standard Model

Abstract We consider the strong dynamics associated with a composite Higgs model that simultaneously produces dynamical axions and solves the strong CP problem. The strong dynamics arises from a new Sp or SU(4) hypercolor gauge group containing QCD colored hyperfermions that confines at a high scale. The hypercolor global symmetry is weakly gauged by the Standard Model electroweak gauge group and an enlarged color group, SU(N + 3) × SU(N)′. When hyperfermion condensates form, they not only lead to an SU(5)/SO(5) composite Higgs model but also spontaneously break the enlarged color group to SU(3)c× SU(N)D. At lower energies, the SU(N)D group confines, producing two dynamical axions that eliminates all CP violation. Furthermore, small instantons from the SU(N)′ group can enhance the axion mass, giving rise to TeV scale axion masses that can be detected at collider experiments. Our model provides a way to unify the composite Higgs with dynamical axions, without introducing new elementary scalar fields, while also extending the range of axion masses that addresses the strong CP problem.

scholarly journals THE GAUGE DUAL OF GAUGED ${\mathcal N}=8$ SUPERGRAVITY THEORY

2010 ◽  
Vol 25 (15) ◽  
pp. 3025-3041 ◽  
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Scalar Fields ◽  
Three Dimensions ◽  
Supergravity Theory ◽  
Arbitrary Mass ◽  
Four Dimensions

The most general SU(3) -singlet space of gauged [Formula: see text] supergravity in four-dimensions is studied recently. The SU(3) -invariant six scalar fields are realized by six real four-forms. A family of holographic [Formula: see text] supersymmetric RG flows on M2-branes in three-dimensions is described. This family of flows is driven by three independent mass parameters from the [Formula: see text] theory and is controlled by two IR fixed points, [Formula: see text]-invariant one and [Formula: see text]-invariant one. The generic flow with arbitrary mass parameters is [Formula: see text] supersymmetric and reaches to the [Formula: see text] fixed point where the three masses become identical. A particular [Formula: see text] supersymmetric SU(3) -preserving RG flow from the [Formula: see text]-invariant fixed point to the [Formula: see text]-invariant fixed point is also discussed.

Classical Electromagnetism

2018 ◽  
Author(s):  
Peter Mann
Keyword(s):  
Equations Of Motion ◽  
Classical Mechanics ◽  
Classical Field Theory ◽  
Scalar Fields ◽  
Local Symmetry ◽  
Momentum Tensor ◽  
Global Symmetry ◽  
Complex Scalar ◽  
Symmetry Properties ◽  
Time Variations

In this chapter, Noether’s theorem as a classical field theory is presented and the properties of variations are again discussed for fields (i.e. field variations, space variations, time variations, spacetime variations), resulting in the Noether condition. Quasisymmetries and spontaneous symmetry breaking are discussed, as well as local symmetry and global symmetry. Following these definitions, Noether’s first theorem and Noether’s second theorem are developed. The classical Schrödinger field is investigated and the key equations of classical mechanics are summarised into a single Lagrangian. Symmetry properties of the field action and equations of motion are then compared. The chapter discusses the energy–momentum tensor, the Klein–Utiyama theorem, the Liouville equation and the Hamilton–Jacobi equation. It also discusses material science, special orthogonal groups and complex scalar fields.

POST-INFLATIONARY COSMOLOGICAL MODEL BASED ON THE SEVEN-DIMENSIONAL SUPERGRAVITY

1995 ◽  
Vol 04 (02) ◽  
pp. 279-289
Author(s):  
JÚLIO CÉSAR FABRIS ◽  
RICHARD KERNER ◽  
JOËL TOSSA
Keyword(s):  
Cartesian Product ◽  
Scalar Fields ◽  
Big Bang ◽  
Classical Solutions ◽  
Internal Space ◽  
Supergravity Theory ◽  
Potential Term ◽  
Walker Metric ◽  
Stable Solutions ◽  
Nontrivial Coupling

We study classical solutions of the bosonic sector of seven-dimensional supergravity theory. This study is three-fold: first, we look for power law solutions in a space which is the Cartesian product of a four-dimensional Robertson-Walker metric and a compact internal space; next, for the same geometric configuration, we sketch the phase diagram of all possible stable solutions; finally, we consider the evolution of scalar fluctuations on the background of the exact solutions found here. We observe that in spite of the presence of a potential term and a nontrivial coupling of three scalar fields, no inflationary scenario can emerge from such theory, and that all stable solutions display a big-bang type singularity. We conclude that the supersymmetric theories are well suited to describe the post-inflationary behavior of the Universe emerging from the inflationary phase before it enters the pure radiation stage.

scholarly journals Thermal order in large N conformal gauge theories

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Soumyadeep Chaudhuri ◽  
Changha Choi ◽  
Eliezer Rabinovici
Keyword(s):  
Symmetry Breaking ◽  
Fixed Points ◽  
Gauge Theories ◽  
Scalar Fields ◽  
The Other ◽  
Spontaneous Breaking ◽  
Global Symmetry ◽  
Gauge Groups ◽  
Large N ◽  
Work Done

Abstract In this work we explore the possibility of spontaneous breaking of global symmetries at all nonzero temperatures for conformal field theories (CFTs) in D = 4 space-time dimensions. We show that such a symmetry-breaking indeed occurs in certain families of non-supersymmetric large N gauge theories at a planar limit. We also show that this phenomenon is accompanied by the system remaining in a persistent Brout-Englert-Higgs (BEH) phase at any temperature. These analyses are motivated by the work done in [1, 2] where symmetry-breaking was observed in all thermal states for certain CFTs in fractional dimensions.In our case, the theories demonstrating the above features have gauge groups which are specific products of SO(N) in one family and SU(N) in the other. Working in a perturbative regime at the N → ∞ limit, we show that the beta functions in these theories yield circles of fixed points in the space of couplings. We explicitly check this structure up to two loops and then present a proof of its survival under all loop corrections. We show that under certain conditions, an interval on this circle of fixed points demonstrates both the spontaneous breaking of a global symmetry as well as a persistent BEH phase at all nonzero temperatures. The broken global symmetry is ℤ2 in one family of theories and U(1) in the other. The corresponding order parameters are expectation values of the determinants of bifundamental scalar fields in these theories. We characterize these symmetries as baryon-like symmetries in the respective models.

scholarly journals Confinement in 4D: An Attempt at Classical Understanding

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 291
Author(s):  
Ibrahim Burak Ilhan ◽  
Alex Kovner
Keyword(s):  
Degrees Of Freedom ◽  
Vector Fields ◽  
Scalar Fields ◽  
Effective Theory ◽  
Global Symmetry ◽  
Abelian Gauge ◽  
Infinite Dimensional ◽  
Diffeomorphism Invariance ◽  
Dimensional Phase Space ◽  
Global Symmetry Group

In this review, we revisit our approach to constructing an effective theory for Abelian and Non-Abelian gauge theories in 4D. Our goal is to have an effective theory that provides a simple classical picture of the main qualitatively important features of these theories. We set out to ensure the presence of the massless photons—Goldstone bosons in Abelian theory and their disappearance in the Non-Abelian case—accompanied by the formation of confining strings between charged states. Our formulation avoids using vector fields and instead operates with the basic degrees of freedom that are the scalar fields of a nonlinear σ-model. The Mark 1 model we study turns out to have a large global symmetry group-the 2D diffeomorphism invariance in the Abelian limit, which is isomorphic to the group of all canonical transformations in the classical two dimensional phase space. This symmetry is not present in QED, and we eliminate it by “gauging” this infinite dimensional global group. Introducing additional modifications to the model (Mark 2), we are able to prove that the “Abelian” version is equivalent to the theory of a free photon. Achieving the desired property in the “Non-Abelian” regime turns out to be tricky. We are able to introduce a perturbation that leads to the formation of confining strings in our Mark 1 model. These strings have somewhat unusual properties, in that their profile does not decay exponentially away from the center of the string. In addition, the perturbation explicitly breaks the diffeomorphism invariance. Preserving this invariance in the gauged model as well as achieving confining strings in Mark 2 model remains an open question.

scholarly journals SCALAR NONLUMINOUS MATTER IN GALAXIES

2002 ◽  
Vol 17 (04) ◽  
pp. 555-560 ◽  
Author(s):  
BYUNG JOO LEE ◽  
TAE HOON LEE
Keyword(s):  
Rotational Velocity ◽  
Scalar Potential ◽  
Scalar Fields ◽  
Global Symmetry ◽  
Late Time ◽  
Complex Scalar ◽  
Acceleration Of The Universe ◽  
The Universe ◽  
Static Space ◽  
Quintessence Model

As a candidate for dark matter in galaxies, we study an SU(3) triplet of complex scalar fields which are nonminimally coupled to gravity. In the spherically symmetric static space–time where the flat rotational velocity curves of stars in galaxies can be explained, we find simple solutions of scalar fields with SU(3) global symmetry broken to U(1) × U(1), in an exponential scalar potential, which will be useful in a quintessence model of the late-time acceleration of the universe.

The classical scalar field

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Scalar Field ◽  
Symmetry Breaking ◽  
Free Field ◽  
Scalar Fields ◽  
Global Symmetry ◽  
Lagrange Equations ◽  
Complex Scalar ◽  
Klein Gordon ◽  
Complex Scalar Field ◽  
The Fourier Transform

This chapter explains some of the properties of scalar fields, which are paradigmatic in relativistic field theory. It also shows how a complex scalar field can confer an effective mass to a ‘gauge’ field. The chapter first provides the Klein–Gordon equation derived from the Euler–Lagrange equations outlined in the previous chapter. It then illustrates the Fourier transform of a free field, before embarking on further discussions on complex fields, charge, and symmetry breaking. Finally, this chapter considers that the fact that global symmetry breaking leads to the appearance of a massless, and therefore long-range, scalar field is problematic because such a field is not observed experimentally. It thus takes a look at the BEH mechanism (named after its inventors, Robert Brout, François Englert, and Peter Higgs), which can make it ‘disappear’.

CANONICAL QUANTIZATION OF BIANCHI CLASS A MODELS IN N=2 SUPERGRAVITY

1996 ◽  
Vol 11 (03) ◽  
pp. 227-245 ◽  
Author(s):  
A.D.Y. CHENG ◽  
P.V. MONIZ
Keyword(s):  
Cosmological Constant ◽  
Canonical Quantization ◽  
Constant Term ◽  
Scalar Fields ◽  
Internal Symmetry ◽  
Point Of View ◽  
Supergravity Theory ◽  
Class A ◽  
Physical Validity ◽  
Chern Simons

The theory of N=2 supergravity is applied to Bianchi class A models. Their canonical formulation is addressed for two cases: when the O(2) internal symmetry is (a) global or (b) local. A cosmological constant and mass-like term for the gravitinos are required in the latter but are absent in the former. For the case of global O(2) symmetry, it is shown that the presence of a Maxwell field in the supersymmetry constraints is sufficient to imply a non-conservation of the fermionic number. This effect corresponds to a mixing between different Lorentz invariant fermionic sectors in the wave function of the universe. It is similar to what a cosmological constant term would have caused but considerably different from what occurs in FRW and Bianchi models in N=1 supergravity with scalar fields and fermionic partners. The nonconservation effect is interpreted from the point of view of N=2 supergravity theory. For case (b), we obtain the more general solution of the gauge constraint. Possible quantum physical states are then discussed regarding previous works where Ashtekar variables have been used. These states can be obtained from an N=2 supersymmetric Chern-Simons functional. Some comments concerning the physical validity of the Chern-Simons solution and its transformation into metric representation variables are included.

scholarly journals Conformal symmetries for extremal black holes with general asymptotic scalars in STU supergravity

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
M. Cvetič ◽  
C. N. Pope ◽  
A. Saha
Keyword(s):  
Black Holes ◽  
Scalar Fields ◽  
Global Symmetry ◽  
String Compactifications ◽  
Asymptotic Values ◽  
The Family ◽  
Zero Values ◽  
Symmetry Generators ◽  
Conformal Inversion ◽  
Extremal Black Holes

Abstract We present a construction of the most general BPS black holes of STU supergravity ($$ \mathcal{N} $$ N = 2 supersymmetric D = 4 supergravity coupled to three vector super-multiplets) with arbitrary asymptotic values of the scalar fields. These solutions are obtained by acting with a subset of the global symmetry generators on STU BPS black holes with zero values of the asymptotic scalars, both in the U-duality and the heterotic frame. The solutions are parameterized by fourteen parameters: four electric and four magnetic charges, and the asymptotic values of the six scalar fields. We also present BPS black hole solutions of a consistently truncated STU supergravity, which are parameterized by two electric and two magnetic charges and two scalar fields. These latter solutions are significantly simplified, and are very suitable for further explicit studies. We also explore a conformal inversion symmetry of the Couch-Torrence type, which maps any member of the fourteen-parameter family of BPS black holes to another member of the family. Furthermore, these solutions are expected to be valuable in the studies of various swampland conjectures in the moduli space of string compactifications.

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