scholarly journals Higgsing and twisting of 6d DN gauge theories

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Hee-Cheol Kim ◽  
Sung-Soo Kim ◽  
Kimyeong Lee
Keyword(s):  
Gauge Symmetry ◽  
Gauge Theories ◽  
Outer Automorphism ◽  
Tensor Multiplet ◽  
Kaluza Klein

Abstract We propose Type IIB 5-brane configurations that engineer the 6d $$ \mathcal{N} $$ N = (1, 0) SCFTs with SO(N) gauge symmetry coupled to a single tensor multiplet on a circle, by considering RG flows on Higgs branches of D-type conformal matter theories. We test the brane systems against known Calabi-Yau threefolds for the 6d SCFTs on a circle. In addition we study a new RG flow involving Higgs vevs of scalar operators with Kaluza-Klein momentum along the circle. The new RG flow results in the 5-brane webs for the 6d SCFTs of DN gauge symmetry compactified on a circle with Z2 outer-automorphism twist.

SUPERSYMMETRIC TENSOR GAUGE THEORIES

1989 ◽  
Vol 04 (14) ◽  
pp. 1343-1353 ◽  
Author(s):  
T.E. CLARK ◽  
C.-H. LEE ◽  
S.T. LOVE
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Sigma Models ◽  
Gauge Field ◽  
Gauge Theories ◽  
Symmetric Tensor ◽  
Global Symmetry ◽  
Invariant Action ◽  
Symmetry Transformations ◽  
Linear Sigma Models

The supersymmetric extensions of anti-symmetric tensor gauge theories and their associated tensor gauge symmetry transformations are constructed. The classical equivalence between such supersymmetric tensor gauge theories and supersymmetric non-linear sigma models is established. The global symmetry of the supersymmetric tensor gauge theory is gauged and the locally invariant action is obtained. The supercurrent on the Kähler manifold is found in terms of the supersymmetric tensor gauge field.

scholarly journals GAUGE THEORIES AS A GEOMETRICAL ISSUE OF A KALUZA–KLEIN FRAMEWORK

2005 ◽  
Vol 14 (07) ◽  
pp. 1195-1231 ◽  
Author(s):  
FRANCESCO CIANFRANI ◽  
ANDREA MARROCCO ◽  
GIOVANNI MONTANI
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Gauge Theories ◽  
Dimensional Manifold ◽  
Unification Theory ◽  
Klein Theory ◽  
Electroweak Model ◽  
Quark Generation ◽  
Kaluza Klein

We present a geometrical unification theory in a Kaluza–Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive gauge charge conservation from the invariance of the model under extra-dimensional translations and to geometrize gauge connections for spinors, in order to make possible to introducing matter just through free spinorial fields. Then we present the applications to (i) a pentadimensional manifold V4 ⊗ S1 so reproducing the original Kaluza–Klein theory with some extensions related to the rule of the scalar field contained in the metric and to the introduction of matter through spinors with a phase dependance from the fifth coordinate, (ii) a seven-dimensional manifold V4 ⊗ S1 ⊗ S2, in which we geometrize the electroweak model by introducing two spinors for every leptonic family and quark generation and a scalar field with two components with opposite hypercharge responsible for spontaneous symmetry breaking.

scholarly journals Chiral gauge theories on the lattice and restoration of gauge symmetry

1994 ◽  
Vol 34 ◽  
pp. 605-607
Author(s):  
Wolfgang Bock ◽  
Jan Smit ◽  
Jeroen C. Vink
Keyword(s):  
Gauge Symmetry ◽  
Gauge Theories

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 On the consistency of a class of R -symmetry gauged 6 D  N = (1,0) supergravities

2020 ◽  
Vol 476 (2240) ◽  
pp. 20200115
Author(s):  
Yi Pang ◽  
Ergin Sezgin
Keyword(s):  
Gauge Symmetry ◽  
String Theory ◽  
Symmetry Group ◽  
Gauge Groups ◽  
Consistency Conditions ◽  
Two Factors ◽  
Tensor Multiplet ◽  
Local Anomalies ◽  
R Symmetry

R -symmetry gauged 6 D  (1, 0) supergravities free from all local anomalies, with gauge groups G  ×  G R where G R is the R-symmetry group and G is semisimple with rank greater than one, and which have no hypermultiplet singlets, are extremely rare. There are three such models known in which the gauge symmetry group is G 1  ×  G 2  ×  U (1) R , where the first two factors are ( E 6 / Z 3 ) × E 7 , G 2  ×  E 7 and F 4  ×  Sp (9). These are models with single tensor multiplet, and hyperfermions in the (1, 912), (14, 56) and (52, 18) dimensional representations of G 1  ×  G 2 , respectively. So far, it is not known if these models follow from string theory. We highlight key properties of these theories, and examine constraints which arise from the consistency of the quantization of anomaly coefficients formulated in their strongest form by Monnier and Moore. Assuming that the gauged models accommodate dyonic string excitations, we find that these constraints are satisfied only by the model with the F 4  ×  Sp (9) ×  U (1) R symmetry. We also discuss aspects of dyonic strings and potential caveats they may pose in applying the stated consistency conditions to the R -symmetry gauged models.

scholarly journals Gauge Theories: From Kaluza–Klein to noncommutative gravity theories

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 856
Author(s):  
George Manolakos ◽  
Pantelis Manousselis ◽  
George Zoupanos
Keyword(s):  
Dimensional Reduction ◽  
Particle Physics ◽  
Extra Dimensions ◽  
Gauge Theories ◽  
Dimensional Theory ◽  
Higher Dimensional ◽  
Coset Spaces ◽  
Gravity Theories ◽  
Physics Model ◽  
Kaluza Klein

First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduction to four-dimensional theory is performed. Afterwards, another scheme including fuzzy extra dimensions is presented, but this time the starting theory is four-dimensional while the fuzzy extra dimensions are generated dynamically. The resulting theory and its particle content is discussed. Besides the particle physics models discussed above, gravity theories as gauge theories are reviewed and then, the whole methodology is modified in the case that the background spacetimes are noncommutative. For this reason, specific covariant fuzzy spaces are introduced and, eventually, the program is written for both the 3-d and 4-d cases.

MASSIVE FERMION AND CHIRAL GAUGE SYMMETRY

1990 ◽  
Vol 05 (31) ◽  
pp. 2607-2613 ◽  
Author(s):  
SINYA AOKI
Keyword(s):  
Gauge Symmetry ◽  
Effective Action ◽  
Gauge Theories ◽  
Opposite Sign ◽  
Chiral Anomaly ◽  
Fermion Mass ◽  
Mass Limit ◽  
Massive Fermion ◽  
Dependent Term ◽  
Mass Dependent

A mass-dependent odd-parity term in the effective action of chiral gauge theories as well as the usual mass-independent chiral anomaly have been shown to exist. In particular, this mass-dependent term is equal to the anomaly with opposite sign in the limit of infinite fermion mass, and therefore no odd-parity term remains in this limit. We also consider the different regularizations which produce the Wess-Zumino term in the infinite fermion mass limit.

Sign in / Sign up

Export Citation Format

Share Document