scholarly journals SOLITONIC BRANE WORLD WITH COMPLETELY LOCALIZED (SUPER)GRAVITY

2001 ◽  
Vol 16 (21) ◽  
pp. 3603-3631 ◽  
Author(s):  
ALBERTO IGLESIAS ◽  
ZURAB KAKUSHADZE
Keyword(s):  
Domain Wall ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Zero Mode ◽  
Brane World ◽  
Smooth Domain ◽  
Einstein Manifolds ◽  
Brane Solution ◽  
Kaluza Klein ◽  
Classical Background

We construct a solitonic three-brane solution in the five-dimensional Einstein–Hilbert–Gauss–Bonnet theory. This solitonic brane is δ-function-like, and has the property that gravity is completely localized on the brane. That is, there are no propagating degrees of freedom in the bulk, while on the brane we have purely four-dimensional Einstein gravity. Thus, albeit the classical background is five-dimensional, the quantum theory (perturbatively) is four-dimensional. Our solution can be embedded in the supergravity context, where we have completely localized supergravity on the corresponding solitonic brane, which is a BPS object preserving 1/2 of the original supersymmetries. By including a scalar field, we also construct a smooth domain wall solution, which in a certain limit reduces to the δ-function-like solitonic brane solution (this is possible for the latter breaks diffeomorphisms only spontaneously). We then show that in the smooth domain wall background the only normalizable mode is the four-dimensional graviton zero mode, while all the other (including massive Kaluza–Klein) modes are not even plane-wave normalizable. Finally, we observe that in compactifications of Type IIB on five-dimensional Einstein manifolds other than a five-sphere the corresponding dual gauge theories on D3-branes are not conformal in the ultraviolet, and at the quantum level we expect the Einstein–Hilbert term to be generated in their world volumes. We conjecture that in full string theory on Type IIB side this is due to higher curvature terms, which cannot be ignored in such backgrounds. A stronger version of this conjecture also states that (at least in some cases) in such backgrounds D3-branes are solitonic objects with completely localized (super)gravity in their world volumes.

scholarly journals QUINTESSENCE AND BRANE WORLD SCENARIOS

2001 ◽  
Vol 16 (34) ◽  
pp. 2187-2195 ◽  
Author(s):  
Y. S. MYUNG
Keyword(s):  
Domain Wall ◽  
Domain Walls ◽  
Zero Mode ◽  
Negative Energy ◽  
Brane World ◽  
Negative Potential ◽  
Positive Pressure ◽  
Accelerating Universe ◽  
Negative Energy Density ◽  
Type Potential

We discuss the possibility of quintessence in the dilatonic domain walls including the Randall–Sundrum brane world. We obtain the zero mode effective action for gravitating objects in the dilatonic domain wall. First we consider the four-dimensional (4D) gravity and the Brans–Dicke graviscalar with a potential. This can be further rewritten as a minimally coupled scalar with the Liouville-type potential in the Einstein frame. However this model fails to induce the quintessence on the dilatonic domain wall because the potential is negative. Second we consider the 4D gravity with the dilaton. In this case we also find a negative potential. Any negative potential gives us negative energy density and positive pressure, which does not lead to an accelerating universe. Consequently it turns out that the zero mode approach of the dilatonic domain wall cannot accommodate the quintessence in cosmology.

scholarly journals GRAVITATIONAL HIGGS MECHANISM

2000 ◽  
Vol 15 (37) ◽  
pp. 2265-2280 ◽  
Author(s):  
ZURAB KAKUSHADZE ◽  
PETER LANGFELDER
Keyword(s):  
Scalar Field ◽  
Domain Wall ◽  
Plane Wave ◽  
Zero Mode ◽  
Transverse Dimension ◽  
Higgs Mechanism ◽  
The Other ◽  
Smooth Domain ◽  
Quantum Level ◽  
Other Hand

We discuss the gravitational Higgs mechanism in domain wall background solutions that arise in the theory of five-dimensional Einstein–Hilbert gravity coupled to a scalar field with a nontrivial potential. The scalar fluctuations in such backgrounds can be completely gauged away, and so can be the graviphoton fluctuations. On the other hand, we show that the graviscalar fluctuations do not have normalizable modes. As to the four-dimensional graviton fluctuations, in the case where the volume of the transverse dimension is finite the massive modes are plane-wave normalizable, while the zero mode is quadratically normalizable. We then discuss the coupling of domain wall gravity to localized four-dimensional matter. In particular, we point out that this coupling is consistent only if the matter is conformal. This is different from the Randall–Sundrum case as there is a discontinuity in the δ-function-like limit of such a smooth domain wall — the latter breaks diffeomorphisms only spontaneously, while the Randall–Sundrum brane breaks diffeomorphisms explicitly. Finally, at the quantum level both the domain wall as well as the Randall–Sundrum setups suffer from inconsistencies in the coupling between gravity and localized matter, as well as the fact that gravity is generically expected to be delocalized in such backgrounds due to higher curvature terms.

scholarly journals Quantum information probes of charge fractionalization in large-N gauge theories

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Brandon S. DiNunno ◽  
Niko Jokela ◽  
Juan F. Pedraza ◽  
Arttu Pönni
Keyword(s):  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Entanglement Entropy ◽  
Coarse Grained ◽  
Strongly Coupled ◽  
Information Theoretic ◽  
Large N ◽  
Wide Range ◽  
Charge Fractionalization ◽  
Electric Flux

Abstract We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-N gauge theories. For concreteness, we focus on a simple holographic (2 + 1)-dimensional strongly coupled electron fluid whose charged states organize themselves into fractionalized and coherent patterns at sufficiently low temperatures. However, we expect that our results are quite generic and applicable to a wide range of systems, including non-holographic. The probes we consider include the entanglement entropy, mutual information, entanglement of purification and the butterfly velocity. The latter turns out to be particularly useful, given the universal connection between momentum and charge diffusion in the vicinity of a black hole horizon. The RT surfaces used to compute the above quantities, though, are largely insensitive to the electric flux in the bulk. To address this deficiency, we propose a generalized entanglement functional that is motivated through the Iyer-Wald formalism, applied to a gravity theory coupled to a U(1) gauge field. We argue that this functional gives rise to a coarse grained measure of entanglement in the boundary theory which is obtained by tracing over (part) of the fractionalized and cohesive charge degrees of freedom. Based on the above, we construct a candidate for an entropic c-function that accounts for the existence of bulk charges. We explore some of its general properties and their significance, and discuss how it can be used to efficiently account for charged degrees of freedom across different energy scales.

scholarly journals Bootstrap bounds on closed Einstein manifolds

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
James Bonifacio ◽  
Kurt Hinterbichler
Keyword(s):  
Compact Riemannian Manifold ◽  
Tree Level ◽  
Conformal Field Theories ◽  
Einstein Manifolds ◽  
Consistency Conditions ◽  
Conformal Field ◽  
Geometric Data ◽  
Conformal Bootstrap ◽  
Laplacian Operators ◽  
Kaluza Klein

Abstract A compact Riemannian manifold is associated with geometric data given by the eigenvalues of various Laplacian operators on the manifold and the triple overlap integrals of the corresponding eigenmodes. This geometric data must satisfy certain consistency conditions that follow from associativity and the completeness of eigenmodes. We show that it is possible to obtain nontrivial bounds on the geometric data of closed Einstein manifolds by using semidefinite programming to study these consistency conditions, in analogy to the conformal bootstrap bounds on conformal field theories. These bootstrap bounds translate to constraints on the tree-level masses and cubic couplings of Kaluza-Klein modes in theories with compact extra dimensions. We show that in some cases the bounds are saturated by known manifolds.

scholarly journals Brane-world Kaluza–Klein reductions and branes on the brane

2001 ◽  
Vol 42 (7) ◽  
pp. 3048-3070 ◽  
Author(s):  
M. Cvetič ◽  
H. Lü ◽  
C. N. Pope
Keyword(s):  
Brane World ◽  
Kaluza Klein

scholarly journals CHIRAL ZERO MODES ON VORTEX-TYPE INTERSECTING HETEROTIC FIVE-BRANES

2012 ◽  
Vol 27 (12) ◽  
pp. 1250072 ◽  
Author(s):  
MASAYA YATA
Keyword(s):  
Dirac Equation ◽  
Zero Mode ◽  
The Other ◽  
Two Dimensional ◽  
Complete Spectrum ◽  
Type Solution ◽  
Heterotic String Theory ◽  
Zero Modes ◽  
Brane Solution ◽  
Opposite Chirality

We solve the gaugino Dirac equation on a smeared intersecting five-brane solution in E8×E8 heterotic string theory to search for localized chiral zero modes on the intersection. The background is chosen to depend on the full two-dimensional overall transverse coordinates to the branes. Under some appropriate boundary conditions, we compute the complete spectrum of zero modes to find that, among infinite towers of Fourier modes, there exist only three localized normalizable zero modes, one of which has opposite chirality to the other two. This agrees with the result previously obtained in the domain-wall type solution, supporting the claim that there exists one net chiral zero mode localized on the heterotic five-brane system.

PHASE SPACE REDUCTION AND THE CHOICE OF PHYSICAL VARIABLES IN GAUGE THEORIES

1991 ◽  
Vol 06 (05) ◽  
pp. 845-863 ◽  
Author(s):  
S.V. SHABANOV
Keyword(s):  
Phase Space ◽  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Hamiltonian Path ◽  
Curvilinear Coordinates ◽  
Yang Mills ◽  
Space Reduction ◽  
Physical Variables ◽  
Phase Space Reduction ◽  
Gauge Conditions

The connection between the way of separation of physical variables and the form of the Hamiltonian path integral (HPI) is studied for the Yang-Mills quantum mechanics. It is shown that physical degrees of freedom are always described by curvilinear coordinates. It is also found that the ambiguity in determining physical variables follows from the reduction of the physical phase space. The latter leads to a modification of the standard HPI (HPI with gauge conditions).

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