scholarly journals Chern-Simons invariants and heterotic superpotentials

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Lara B. Anderson ◽  
James Gray ◽  
Andre Lukas ◽  
Juntao Wang
Keyword(s):  
Heterotic String ◽  
New Techniques ◽  
Vacuum Stability ◽  
Large Classes ◽  
Moduli Stabilization ◽  
String Compactifications ◽  
Key Features ◽  
Effective Theories ◽  
Chern Simons ◽  
Tangent Bundles

Abstract The superpotential in four-dimensional heterotic effective theories contains terms arising from holomorphic Chern-Simons invariants associated to the gauge and tangent bundles of the compactification geometry. These effects are crucial for a number of key features of the theory, including vacuum stability and moduli stabilization. Despite their importance, few tools exist in the literature to compute such effects in a given heterotic vacuum. In this work we present new techniques to explicitly determine holomorphic Chern-Simons invariants in heterotic string compactifications. The key technical ingredient in our computations are real bundle morphisms between the gauge and tangent bundles. We find that there are large classes of examples, beyond the standard embedding, where the Chern-Simons superpotential vanishes. We also provide explicit examples for non-flat bundles where it is non-vanishing and non-integer quantized, generalizing previous results for Wilson lines.

scholarly journals Hierarchical structure of physical Yukawa couplings from matter field Kähler metric

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Keiya Ishiguro ◽  
Tatsuo Kobayashi ◽  
Hajime Otsuka
Keyword(s):  
String Theory ◽  
Hierarchical Structure ◽  
Matter Field ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Kähler Metric ◽  
Yukawa Couplings ◽  
String Compactifications ◽  
Kahler Metric ◽  
Matter Fields

Abstract We study the impacts of matter field Kähler metric on physical Yukawa couplings in string compactifications. Since the Kähler metric is non-trivial in general, the kinetic mixing of matter fields opens a new avenue for realizing a hierarchical structure of physical Yukawa couplings, even when holomorphic Yukawa couplings have the trivial structure. The hierarchical Yukawa couplings are demonstrated by couplings of pure untwisted modes on toroidal orbifolds and their resolutions in the context of heterotic string theory with standard embedding. Also, we study the hierarchical couplings among untwisted and twisted modes on resolved orbifolds.

scholarly journals Threshold corrections in K3 × T2 heterotic string compactifications

1996 ◽  
Vol 482 (1-2) ◽  
pp. 187-210 ◽  
Author(s):  
Måns Henningson ◽  
Gregory Moore
Keyword(s):  
Heterotic String ◽  
String Compactifications

SELF-DUALITY IN MAXWELL–CHERN–SIMONS TYPE EFFECTIVE THEORIES

2002 ◽  
Vol 16 (14) ◽  
pp. 497-510 ◽  
Author(s):  
FRÉDÉRIC CHANDELIER ◽  
YVON GEORGELIN ◽  
THIERRY MASSON ◽  
JEAN-CHRISTOPHE WALLET
Keyword(s):  
Effective Model ◽  
Duality Symmetry ◽  
Self Duality ◽  
Planar Systems ◽  
Effective Models ◽  
Effective Theories ◽  
Chern Simons

We consider a class of (2+1)-dimensional nonlocal effective models with a Maxwell–Chern–Simons part for which the Maxwell term involves a suitable nonlocality that permits one to take into account some (3+1)-dimensional features of "real" planar systems. We show that this class of models exhibits a hidden duality symmetry stemming from the Maxwell–Chern–Simons part of the action. We discuss and illustrate this result in the framework of a (2+1)-dimensional effective model describing (massive) vortices and charges with realistic interactions.

Field redefinitions and Chern-Simons terms in the heterotic string

1987 ◽  
Vol 197 (1-2) ◽  
pp. 119-124 ◽  
Author(s):  
Z. Bern ◽  
T. Shimada
Keyword(s):  
Heterotic String ◽  
Chern Simons

scholarly journals (0, 2) Heterotic string compactifications from N=2 superconformal theories

1989 ◽  
Vol 227 (1) ◽  
pp. 34-40 ◽  
Author(s):  
A. Font ◽  
L.E. Ibáñez ◽  
M. Mondragón ◽  
G.G. Ross
Keyword(s):  
Heterotic String ◽  
String Compactifications ◽  
Superconformal Theories

scholarly journals 6d $$ \mathcal{N} $$ = (1, 0) anomalies on S1 and F-theory implications

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Pierre Corvilain
Keyword(s):  
Lorentz Invariance ◽  
Perfect Match ◽  
Gauge Coupling ◽  
Theory Reduction ◽  
Free Theory ◽  
Field Dependent ◽  
Gauge Anomalies ◽  
Effective Theories ◽  
M Theory ◽  
Chern Simons

Abstract We show that the pure gauge anomalies of 6d $$ \mathcal{N} $$ N = (1, 0) theories compactified on a circle are captured by field-dependent Chern-Simons terms appearing at one-loop in the 5d effective theories. These terms vanish if and only if anomalies are canceled. In order to obtain this result, it is crucial to integrate out the massive Kaluza-Klein modes in a way that preserves 6d Lorentz invariance; the often-used zeta-function regularization is not sufficient. Since such field-dependent Chern-Simons terms do not arise in the reduction of M-theory on a threefold, six-dimensional F-theory compactifications are automatically anomaly free, whenever the M/F-duality can be used. A perfect match is then found between the 5d $$ \mathcal{N} $$ N = 1 prepotentials of the classical M-theory reduction and one-loop circle compactification of an anomaly free theory. Finally, from this potential, we read off the quantum corrections to the gauge coupling functions.

scholarly journals From Type II string theory toward BSM/dark sector physics

2016 ◽  
Vol 31 (34) ◽  
pp. 1630050 ◽  
Author(s):  
Gabriele Honecker
Keyword(s):  
String Theory ◽  
Open String ◽  
New Physics ◽  
Closed String ◽  
Type Ii ◽  
Dark Sector ◽  
Four Dimensions ◽  
Brane Model ◽  
Moduli Stabilization ◽  
String Compactifications

Four-dimensional compactifications of string theory provide a controlled set of possible gauge representations accounting for BSM particles and dark sector components. In this review, constraints from perturbative Type II string compactifications in the geometric regime are discussed in detail and then compared to results from heterotic string compactifications and nonperturbative/nongeometric corners. As a prominent example, an open string realization of the QCD axion is presented. The status of deriving the associated low-energy effective action in four dimensions is discussed and open avenues of major phenomenological importance are highlighted. As examples, a mechanism of closed string moduli stabilization by D-brane backreaction as well as one-loop threshold corrections to the gauge couplings and balancing a low string scale [Formula: see text] with unisotropic compact dimensions are discussed together with implications on potential future new physics observations. For illustrative purposes, an explicit example of a globally consistent D6-brane model with MSSM-like spectrum on [Formula: see text] is presented.

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