PAGELS TYPE ACTION FROM TOPOLOGICAL GAUGE THEORY IN FIVE DIMENSIONS

1996 ◽  
Vol 11 (02) ◽  
pp. 81-86
Author(s):  
J.A. NIETO ◽  
O. OBREGÓN
Keyword(s):  
Gauge Theory ◽  
Dimensional Reduction ◽  
Reduction Mechanism ◽  
Five Dimensions ◽  
Chern Simons ◽  
Hilbert Action

Applying a particular dimensional reduction mechanism to the Chern-Simons five-form action proposed by Chamseddine we derive a Pagels type action from which the Einstein-Hilbert action in (3+1) dimensions may be obtained. Our result may appear of interest in the quest to find a transition from nondynamical to dynamical gravity.

FIVE-DIMENSIONAL CHERN–SIMONS GRAVITY WITH NONLINEAR ELECTRODYNAMICS

2001 ◽  
Vol 16 (38) ◽  
pp. 2421-2429 ◽  
Author(s):  
ALFREDO MACÍAS ◽  
ENRIQUE LOZANO
Keyword(s):  
Gauge Theory ◽  
Cosmological Constant ◽  
Dimensional Reduction ◽  
Fiber Bundle ◽  
Reduction Process ◽  
Nonlinear Electrodynamics ◽  
Dimensional Theory ◽  
Chern Simons ◽  
Bonnet Term ◽  
Bundle Structure

We consider five-dimensional theory of gravity proposed recently by Chamseddine. It is based on the Chern–Simons five-form and the SO(1,5) gauge group. The action naturally contains a Gauss–Bonnet term, an Einstein term and a cosmological constant. We shall see that by imposing to this action the five-dimensional principal fiber bundle structure and the toroidal dimensional reduction process, the resulting U(1) gauge theory contains non-minimal couplings to gravity and nonlinear modifications to the standard Einstein–Maxwell–dilaton theory.

scholarly journals Anomalies as obstructions: from dimensional lifts to swampland

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Peng Cheng ◽  
Ruben Minasian ◽  
Stefan Theisen
Keyword(s):  
Dimensional Reduction ◽  
One Dimension ◽  
Necessary Condition ◽  
Geometric Form ◽  
Anomaly Cancellation ◽  
Five Dimensions ◽  
Singularity Structure ◽  
Positivity Condition ◽  
Six Dimensions ◽  
Chern Simons

Abstract We revisit the relation between the anomalies in four and six dimensions and the Chern-Simons couplings one dimension below. While the dimensional reduction of chiral theories is well-understood, the question which three and five-dimensional theories can come from a general circle reduction, and are hence liftable, is more subtle. We argue that existence of an anomaly cancellation mechanism is a necessary condition for liftability. In addition, the anomaly cancellation and the CS couplings in six and five dimensions respectively determine the central charges of string-like BPS objects that cannot be consistently decoupled from gravity, a.k.a. supergravity strings. Following the completeness conjecture and requiring that their worldsheet theory is unitary imposes bounds on the admissible theories. We argue that for the anomaly-free six-dimensional theories it is more advantageous to study the unitarity constraints obtained after reduction to five dimensions. In general these are slightly more stringent and can be cast in a more geometric form, highly reminiscent of the Kodaira positivity condition (KPC). Indeed, for the F-theoretic models which have an underlying Calabi-Yau threefold these can be directly compared. The unitarity constraints (UC) are in general weaker than KPC, and maybe useful in understanding the consistent models without F-theoretic realisation. We catalogue the cases when UC is more restrictive than KPC, hinting at more refined hidden structure in elliptic Calabi-Yau threefolds with certain singularity structure.

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

scholarly journals CHARGED TOPOLOGICAL SOLITONS IN (4+1)-DIMENSIONAL YMCS THEORY

1992 ◽  
Vol 07 (27) ◽  
pp. 2469-2475
Author(s):  
C. S. AULAKH
Keyword(s):  
Electric Charge ◽  
Five Dimensions ◽  
Topological Solitons ◽  
Yang Mills ◽  
Chern Simons

We show that when a Chern-Simons term is added to the action of SU (N) (N≥3) Yang-Mills theory in five dimensions the usual self-dual topological solitons present in the theory necessarily pick up a (topological) electric charge.

EQUIVALENCE OF TWO-DIMENSIONAL GRAVITIES

1990 ◽  
Vol 05 (16) ◽  
pp. 1251-1258 ◽  
Author(s):  
NOUREDDINE MOHAMMEDI
Keyword(s):  
Gauge Theory ◽  
Explicit Solution ◽  
Light Cone ◽  
Equations Of Motion ◽  
Two Dimensional ◽  
Induced Gravity ◽  
Light Cone Gauge ◽  
Dimensional Gravity ◽  
The Relationship ◽  
Chern Simons

We find the relationship between the Jackiw-Teitelboim model of two-dimensional gravity and the SL (2, R) induced gravity. These are shown to be related to a two-dimensional gauge theory obtained by dimensionally reducing the Chern-Simons action of the 2+1 dimensional gravity. We present an explicit solution to the equations of motion of the auxiliary field of the Jackiw-Teitelboim model in the light-cone gauge. A renormalization of the cosmological constant is also given.

scholarly journals REMARKS ON A CHERN–SIMONS-LIKE COUPLING

2011 ◽  
Vol 26 (37) ◽  
pp. 2813-2821
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Vector Field ◽  
Static Potential ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Hidden Sector ◽  
Dependent Variables ◽  
Qualitative Nature ◽  
Path Dependent ◽  
Chern Simons

We consider the static quantum potential for a gauge theory which includes a light massive vector field interacting with the familiar U (1) QED photon via a Chern–Simons-like coupling, by using the gauge-invariant, but path-dependent, variables formalism. An exactly screening phase is then obtained, which displays a marked departure of a qualitative nature from massive axionic electrodynamics. The above static potential profile is similar to that encountered in axionic electrodynamics consisting of a massless axion-like field, as well as to that encountered in the coupling between the familiar U (1) QED photon and a second massive gauge field living in the so-called U (1)h hidden-sector, inside a superconducting box.

scholarly journals Dimensional reduction and confinement from five dimensions

2011 ◽  
Author(s):  
Francesco Knechtli ◽  
Nikos Irges ◽  
Antonio Rago
Keyword(s):  
Dimensional Reduction ◽  
Five Dimensions
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