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 On the quantization of Seiberg-Witten geometry

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Nathan Haouzi ◽  
Jihwan Oh
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Partition Function ◽  
Flat Space ◽  
Matter Content ◽  
Gauge Groups ◽  
Space Limit ◽  
Two Parameters ◽  
Double Quantization ◽  
Quantization Parameters

Abstract We propose a double quantization of four-dimensional $$ \mathcal{N} $$ N = 2 Seiberg-Witten geometry, for all classical gauge groups and a wide variety of matter content. This can be understood as a set of certain non-perturbative Schwinger-Dyson identities, following the program initiated by Nekrasov [1]. The construction relies on the computation of the instanton partition function of the gauge theory on the so-called Ω-background on ℝ4, in the presence of half-BPS codimension 4 defects. The two quantization parameters are identified as the two parameters of this background. The Seiberg-Witten curve of each theory is recovered in the flat space limit. Whenever possible, we motivate our construction from type IIA string theory.

scholarly journals Construction and Characterization of Representations of SU(7) for GUT Model Builders

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1044
Author(s):  
Daniel Jones ◽  
Jeffery A. Secrest
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Group ◽  
Lie Group ◽  
Cartan Subalgebra ◽  
Natural Extension ◽  
Grand Unification ◽  
Raising And Lowering Operators ◽  
Higher Dimensional ◽  
Lowering Operators

The natural extension to the SU(5) Georgi-Glashow grand unification model is to enlarge the gauge symmetry group. In this work, the SU(7) symmetry group is examined. The Cartan subalgebra is determined along with their commutation relations. The associated roots and weights of the SU(7) algebra are derived and discussed. The raising and lowering operators are explicitly constructed and presented. Higher dimensional representations are developed by graphical as well as tensorial methods. Applications of the SU(7) Lie group to supersymmetric grand unification as well as applications are discussed.

scholarly journals String defects, supersymmetry and the Swampland

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Carlo Angelantonj ◽  
Quentin Bonnefoy ◽  
Cezar Condeescu ◽  
Emilian Dudas
Keyword(s):  
Supersymmetry Breaking ◽  
Dimensional Theory ◽  
Consistency Conditions ◽  
Tensor Multiplet ◽  
Microscopic Origin

Abstract Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges Q∙Q = 0 for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge Q. We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.

scholarly journals Notes on gravity multiplet correlators in AdS3 × S3

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Congkao Wen ◽  
Shun-Qing Zhang
Keyword(s):  
Recursion Relation ◽  
Conformal Symmetry ◽  
Flat Space ◽  
The Other ◽  
Tree Level ◽  
Space Limit ◽  
Compact Expression ◽  
Tensor Multiplet ◽  
R Symmetry

Abstract We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in (2, 0) supergravity on AdS3× S3, with two operators in tensor multiplet and the other two in gravity multiplet. This is achieved by solving the recursion relation arising from a hidden six-dimensional conformal symmetry. We note the compact expression is obtained after carefully analysing the analytic structures of the correlators. Various limits of the correlators are studied, including the maximally R-symmetry violating limit and flat-space limit.

scholarly journals A string theory realization of special unitary quivers in 3 dimensions

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Andrés Collinucci ◽  
Roberto Valandro
Keyword(s):  
String Theory ◽  
Mirror Symmetry ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Holomorphic Curves ◽  
Gauge Groups ◽  
Unitary Gauge

Abstract We propose a string theory realization of three-dimensional $$ \mathcal{N} $$ N = 4 quiver gauge theories with special unitary gauge groups. This is most easily understood in type IIA string theory with D4-branes wrapped on holomorphic curves in local K3’s, by invoking the Stückelberg mechanism. From the type IIB perspective, this is understood as simply compactifying the familiar Hanany-Witten (HW) constructions on a T3. The mirror symmetry duals are easily derived. We illustrate this with various examples of mirror pairs.

scholarly journals Gauge R-symmetry and de Sitter vacua in supergravity and string theory

2014 ◽  
Vol 886 ◽  
pp. 43-62 ◽  
Author(s):  
Ignatios Antoniadis ◽  
Rob Knoops
Keyword(s):  
String Theory ◽  
De Sitter ◽  
De Sitter Vacua ◽  
R Symmetry

scholarly journals A SUPERSYMMETRIC MODEL WITH THE GAUGE SYMMETRY SU(3)1 × SU(2)1 × U(1)1 × SU(3)2 × SU(2)2 × U(1)2

2003 ◽  
Vol 18 (14) ◽  
pp. 967-975 ◽  
Author(s):  
J. G. KÖRNER ◽  
CHUN LIU
Keyword(s):  
Gauge Symmetry ◽  
Standard Model ◽  
Symmetry Breaking ◽  
Supersymmetry Breaking ◽  
Simple Form ◽  
Electroweak Symmetry Breaking ◽  
Supersymmetric Model ◽  
Electroweak Symmetry ◽  
Gauge Groups ◽  
The Standard Model

A supersymmetric model with two copies of the Standard Model gauge groups is constructed in the gauge mediated supersymmetry breaking scenario. The supersymmetry breaking messengers are in a simple form. The Standard Model is obtained after first step gauge symmetry breaking. In the case of one copy of the gauge interactions being strong, a scenario of electroweak symmetry breaking is discussed, and the gauginos are generally predicted to be heavier than the sfermions.

TORUS-ORBIFOLD EQUIVALENCE IN COMPACTIFIED STRING THEORIES

1990 ◽  
Vol 05 (14) ◽  
pp. 1131-1145 ◽  
Author(s):  
MAKOTO SAKAMOTO
Keyword(s):  
Gauge Symmetry ◽  
String Theory ◽  
Closed String ◽  
String Theories

It is shown that any compactified closed string theory on an abelian orbifold is equivalent to that on a torus if the rank of the gauge symmetry of strings on the orbifold is equal to the dimension of the orbifold. Our proof clarifies the correspondence operators as well as states between the two theories.

scholarly journals Background independence in string theory

2018 ◽  
Vol 27 (14) ◽  
pp. 1847026
Author(s):  
Olaf Hohm
Keyword(s):  
Gauge Symmetry ◽  
String Theory ◽  
Degrees Of Freedom ◽  
Einstein Gravity ◽  
Background Independence ◽  
Gauge Symmetries ◽  
Higher Derivative ◽  
Invariant Formulation

I discuss various aspects of background independence in the context of string theory, for which so far we have no manifestly background independent formulation. After reviewing the role of background independence in classical Einstein gravity, I discuss recent results implying that there is a conflict in string theory between manifest background independence and manifest duality invariance when higher-derivative corrections are included. The resolution of this conflict requires the introduction of new gauge degrees of freedom together with an enlarged gauge symmetry. This suggests more generally that a manifestly background independent and duality invariant formulation of string theory requires significantly enhanced gauge symmetries.

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