scholarly journals Flavor symmetry of 5d SCFTs. Part II. Applications

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Lakshya Bhardwaj
Keyword(s):  
Gauge Theory ◽  
Flavor Symmetry ◽  
Gauge Algebra ◽  
Mass Deformation ◽  
General Method

Abstract In Part I of this series of papers, we described a general method for determining the flavor symmetry of any 5d SCFT which can be constructed by integrating out BPS particles from some 6d SCFT compactified on a circle. In this part, we apply the method to explicitly determine the flavor symmetry of those 5d SCFTs which reduce, upon a mass deformation, to some 5d$$ \mathcal{N} $$ N = 1 gauge theory carrying a simple gauge algebra. In these cases, the flavor symmetry of the 5d gauge theory is often enhanced at the conformal point. We use our method to determine this enhancement.

scholarly journals (5d RG-flow) trees in the tropical rain forest

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Marieke van Beest ◽  
Antoine Bourget ◽  
Julius Eckhard ◽  
Sakura Schäfer-Nameki
Keyword(s):  
Large Class ◽  
Rain Forest ◽  
Tropical Rain Forest ◽  
Field Theories ◽  
Flavor Symmetry ◽  
Superconformal Field Theories ◽  
Hasse Diagrams ◽  
Flavor Symmetries ◽  
Rank 2 ◽  
Mass Deformation

Abstract 5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by circle compactification and mass deformation. Successive decoupling of hypermultiplet matter and RG-flow generates a decoupling tree of descendant 5d SCFTs. In this paper we determine the magnetic quivers and Hasse diagrams, that encode the Higgs branches of 5d SCFTs, for entire decoupling trees. Central to this undertaking is the approach in [1], which, starting from the generalized toric polygons (GTPs) dual to 5-brane webs/tropical curves, provides a systematic and succinct derivation of magnetic quivers and their Hasse diagrams. The decoupling in the GTP description is straightforward, and generalizes the standard flop transitions of curves in toric polygons. We apply this approach to a large class of 5d KK-theories, and compute the Higgs branches for their descendants. In particular we determine the decoupling tree for all rank 2 5d SCFTs. For each tree, we also identify the flavor symmetry algebras from the magnetic quivers, including non-simply-laced flavor symmetries.

scholarly journals HAMILTONIAN COHOMOLOGICAL DERIVATION OF FOUR-DIMENSIONAL NONLINEAR GAUGE THEORIES

2002 ◽  
Vol 17 (16) ◽  
pp. 2191-2210 ◽  
Author(s):  
C. BIZDADEA ◽  
E. M. CIOROIANU ◽  
S. O. SALIU
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Gauge Algebra ◽  
Brst Cohomology ◽  
Nonlinear Gauge

Consistent couplings among a set of scalar fields, two types of one-forms and a system of two-forms are investigated in the light of the Hamiltonian BRST cohomology, giving a four-dimensional nonlinear gauge theory. The emerging interactions deform the first-class constraints, the Hamiltonian gauge algebra, as well as the reducibility relations.

scholarly journals META-STABLE BRANE CONFIGURATION AND GAUGED FLAVOR SYMMETRY

2007 ◽  
Vol 22 (31) ◽  
pp. 2329-2341 ◽  
Author(s):  
CHANGHYUN AHN
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Gauge Group ◽  
Flavor Symmetry ◽  
Group Factor

Starting from an [Formula: see text] supersymmetric electric gauge theory with the gauge group Sp (N c ) × SO (2N′ c ) with fundamentals for the first gauge group factor and a bifundamental, we apply Seiberg dual to the symplectic gauge group only and arrive at the [Formula: see text] supersymmetric dual magnetic gauge theory with dual matters including the gauge singlets and superpotential. By analyzing the F-term equations of the dual magnetic superpotential, we describe the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of this gauge theory.

scholarly journals Chaos from massive deformations of Yang-Mills matrix models

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
K. Başkan ◽  
S. Kürkçüoğlu ◽  
O. Oktay ◽  
C. Taşcı
Keyword(s):  
Gauge Theory ◽  
Time Dependence ◽  
Chaotic Dynamics ◽  
Upper Bounds ◽  
Numerical Work ◽  
Yang Mills ◽  
The Matrix ◽  
Largest Lyapunov Exponents ◽  
Bosonic Part ◽  
Mass Deformation

Abstract We focus on an SU(N ) Yang-Mills gauge theory in 0 + 1-dimensions with the same matrix content as the bosonic part of the BFSS matrix model, but with mass deformation terms breaking the global SO(9) symmetry of the latter to SO(5) × SO(3) × ℤ2. Introducing an ansatz configuration involving fuzzy four and two spheres with collective time dependence, we examine the chaotic dynamics in a family of effective Lagrangians obtained by tracing over the aforementioned ansatz configurations at the matrix levels $$ N=\frac{1}{6} $$ N = 1 6 (n + 1)(n + 2)(n + 3), for n = 1, 2, · · · , 7. Through numerical work, we determine the Lyapunov spectrum and analyze how the largest Lyapunov exponents(LLE) change as a function of the energy, and discuss how our results can be used to model the temperature dependence of the LLEs and put upper bounds on the temperature above which LLE values comply with the Maldacena-Shenker-Stanford (MSS) bound 2πT , and below which it will eventually be violated.

SP(2)–BRST quantization of the antisymmetric tensor gauge theory

1990 ◽  
Vol 68 (4-5) ◽  
pp. 454-455
Author(s):  
Won-Sang Chung ◽  
Minho Chung ◽  
Jae-Kwan Kim
Keyword(s):  
Gauge Theory ◽  
Irreducible Representation ◽  
Brst Quantization ◽  
Antisymmetric Tensor ◽  
Invariant Action ◽  
General Method

A general method is given for the construction of gauge-fixed BRS and anti-BRS invariant action for the antisymmetric tensor gauge theory. The method is based on the single requirement that the space of fields carries an irreducible representation of the SP(2)–BRST algebra.

GENERATION AS THE ORIGIN OF HIGGS FIELDS

1991 ◽  
Vol 06 (36) ◽  
pp. 3321-3329
Author(s):  
K.-I. IZAWA
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Extra Dimension ◽  
Lie Superalgebra ◽  
Discrete Analogue ◽  
Electroweak Theory ◽  
Gauge Algebra ◽  
Two Generations ◽  
Higgs Fields ◽  
Kaluza Klein

This letter provides a simple reformulation of the standard electroweak theory of leptons with two generations as a generalized gauge theory. It is based on a discrete analogue of Kaluza–Klein theories, with the 'extra dimension' being the generations of the matter. Higgs fields appear as part of a generalized gauge field. Hypercharge quantization results from the use of a simple Lie superalgebra su(1|2) as the generalized gauge algebra.

scholarly journals Flavor symmetry of 5d SCFTs. Part I. General setup

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Lakshya Bhardwaj
Keyword(s):  
Large Class ◽  
Field Theories ◽  
Flavor Symmetry ◽  
Superconformal Field Theories ◽  
Compact Surfaces ◽  
M Theory ◽  
General Setup ◽  
General Method

Abstract A large class of 5d superconformal field theories (SCFTs) can be constructed by integrating out BPS particles from 6d SCFTs compactified on a circle. We describe a general method for extracting the flavor symmetry of any 5d SCFT lying in this class. For this purpose, we utilize the geometric engineering of 5d$$ \mathcal{N} $$ N = 1 theories in M-theory, where the flavor symmetry is encoded in a collection of non-compact surfaces.

scholarly journals LARGE BREAKING OF ISOSPIN SYMMETRY IN AN ELECTROWEAK SU(2)L × U(1) GAUGE THEORY OF J = 0 MESONS: THE CASE OF K → ππ DECAYS

1999 ◽  
Vol 14 (25) ◽  
pp. 4003-4042 ◽  
Author(s):  
B. MACHET
Keyword(s):  
Gauge Theory ◽  
Lower Bound ◽  
Strong Interactions ◽  
Flavor Symmetry ◽  
Isospin Symmetry ◽  
Gauge Bosons ◽  
Mass Eigenstates ◽  
Parity Conservation ◽  
Scalar Mass ◽  
Weinberg Angle

K→ππ decays are investigated in the framework of the SU (2)L× U (1) gauge theory of J=0 mesons proposed in Ref. 1, to which is added an interaction between mesons respecting the two symmetries generally attributed to strong interactions, flavor symmetry and parity conservation. It is shown that the damping of the K+→π+π0 amplitude with respect to the ones of Ks→ππ results from a cancellation between the W and Z gauge bosons. The ratio of the two types of amplitudes is sensitive to the spectrum of electroweak (pseudoscalar and scalar) mass eigenstates, and in particular to the mass of the Higgs boson. In the case where scalars and pseudoscalars are degenerate, I demonstrate for the amplitudes the lower bound |Ks→π+π-/ K+→π+π0|≥1/ tan 2θW, where θW is the Weinberg angle.

scholarly journals Topological strings on toric geometries in the presence of Lagrangian branes

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
M. Nouman Muteeb
Keyword(s):  
Gauge Theory ◽  
Partition Function ◽  
Topological Strings ◽  
Moduli Spaces ◽  
Topological String ◽  
Lagrangian Submanifolds ◽  
Partition Functions ◽  
Special Lagrangian ◽  
Special Lagrangian Submanifolds ◽  
Mass Deformation

AbstractWe propose expressions for refined open topological string partition function on certain non-compact Calabi Yau 3-folds with topological branes wrapped on the special lagrangian submanifolds. The corresponding web diagrams are partially compact and a lagrangian brane is inserted on one of the external legs. Partial compactification introduces a mass deformation in the corresponding gauge theory. We propose conjectures that equate these open topological string partition functions with the generating function of equivaraint indices on certain quiver moduli spaces. To obtain these conjectures we use the identification of topological string partition functions with equivariant indices on the instanton moduli spaces.

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