scholarly journals SHAPE OF GAUGE FIELD TADPOLES IN HETEROTIC STRING THEORY

2005 ◽  
Vol 20 (03) ◽  
pp. 155-168
Author(s):  
STEFAN GROOT NIBBELINK
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
String Theory ◽  
Fixed Points ◽  
Gauge Field ◽  
Heterotic String ◽  
Heterotic String Theory

Orbifolds in field theory are potentially singular objects for at their fixed points the curvature becomes infinite, therefore one may wonder whether field theory calculations near orbifold singularities can be trusted. String theory is perfectly well defined on orbifolds and can therefore be taken as a UV completion of field theory on orbifolds. We investigate the properties of field and string theory near orbifold singularities by reviewing the computation of a one-loop gauge field tadpole. We find that in string theory the twisted states give contributions that have a spread of a couple of string lengths around the singularity, but otherwise the field theory picture is confirmed. One additional surprise is that in some orbifold models one can identify local tachyons that give contributions near the orbifold fixed point.

CORRELATION FUNCTIONS IN THE N=2 SUPERCONFORMAL FIELD THEORY CORRESPONDING TO A CALABI-YAU COMPACTIFICATION

1988 ◽  
Vol 03 (17) ◽  
pp. 1673-1676
Author(s):  
KEI ITO
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Correlation Functions ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Superconformal Field Theory ◽  
Point Correlation

The four-point correlation functions are calculated in the N=2 superconformal field theory corresponding to a Calabi-Yau compactification of the heterotic string theory.

EFFECTIVE ACTIONS FOR HETEROTIC STRING THEORY

1994 ◽  
Vol 03 (01) ◽  
pp. 285-288 ◽  
Author(s):  
HAN SUELMANN
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Standard Model ◽  
Perturbation Expansion ◽  
String Tension ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Normal Field ◽  
The Standard Model ◽  
Physical Fields

Heterotic String Theory is an attempt to construct a description of nature that is more satisfying than the Standard Model. A major problem is that it is very difficult to do explicit calculations in string theory. Therefore, it is useful to construct a ’normal’ field theory that approximates HST. The way to construct such a field theory is described briefly. The result is a perturbation expansion in some parameter α′. related to the inverse string tension. There are problems concerning the supersymmetrisation of the [Formula: see text] contribution. These may be caused by the assumption that the action can be written in terms of a local Lagrangian of the physical fields only.

scholarly journals CHARGING INTERACTING ROTATING BLACK HOLES IN HETEROTIC STRING THEORY

2004 ◽  
Vol 19 (30) ◽  
pp. 2299-2315 ◽  
Author(s):  
ALFREDO HERRERA-AGUILAR
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
String Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Low Energy ◽  
Heterotic String ◽  
Target Space ◽  
Heterotic String Theory ◽  
Rotating Black Holes

We present a formulation of the stationary bosonic string sector of the whole toroidally compactified effective field theory of the heterotic string as a double Ernst system which, in the framework of general relativity describes, in particular, a pair of interacting spinning black holes; however, in the framework of low-energy string theory the double Ernst system can in particular be interpreted as the rotating field configuration of two interacting sources of black hole type coupled to dilaton and Kalb–Ramond fields. We clarify the rotating character of the Btφ-component of the antisymmetric tensor field of Kalb–Ramond and discuss on its possible torsion nature. We also recall the fact that the double Ernst system possesses a discrete symmetry which is used to relate physically different string vacua. Therefore we apply the normalized Harrison transformation (a charging symmetry which acts on the target space of the low-energy heterotic string theory preserving the asymptotics of the transformed fields and endowing them with multiple electromagnetic charges) on a generic solution of the double Ernst system and compute the generated field configurations for the 4-D effective field theory of the heterotic string. This transformation generates the U (1)n vector field content of the whole low-energy heterotic string spectrum and gives rise to a pair of interacting rotating black holes endowed with dilaton, Kalb–Ramond and multiple electromagnetic fields where the charge vectors are orthogonal to each other.

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 Cascade of special holonomy manifolds and heterotic string theory

2002 ◽  
Vol 622 (1-2) ◽  
pp. 3-45 ◽  
Author(s):  
Katsuyuki Sugiyama ◽  
Satoshi Yamaguchi
Keyword(s):  
String Theory ◽  
Heterotic String ◽  
Heterotic String Theory ◽  
Special Holonomy

scholarly journals Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Keiya Ishiguro ◽  
Tatsuo Kobayashi ◽  
Hajime Otsuka
Keyword(s):  
String Theory ◽  
Common Origin ◽  
Heterotic String ◽  
Discrete Groups ◽  
Heterotic String Theory ◽  
Flavor Symmetries ◽  
Cp Symmetry

Abstract We examine a common origin of four-dimensional flavor, CP, and U(1)R symmetries in the context of heterotic string theory with standard embedding. We find that flavor and U(1)R symmetries are unified into the Sp(2h + 2, ℂ) modular symmetries of Calabi-Yau threefolds with h being the number of moduli fields. Together with the $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP CP symmetry, they are enhanced to GSp(2h + 2, ℂ) ≃ Sp(2h + 2, ℂ) ⋊ $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP generalized symplectic modular symmetry. We exemplify the S3, S4, T′, S9 non-Abelian flavor symmetries on explicit toroidal orbifolds with and without resolutions and ℤ2, S4 flavor symmetries on three-parameter examples of Calabi-Yau threefolds. Thus, non-trivial flavor symmetries appear in not only the exact orbifold limit but also a certain class of Calabi-Yau three-folds. These flavor symmetries are further enlarged to non-Abelian discrete groups by the CP symmetry.

CHIRAL ZEROMODES ON VORTEX-TYPE INTERSECTING FIVE-BRANE IN HETEROTIC STRING

2013 ◽  
Vol 21 ◽  
pp. 191-192
Author(s):  
MASAYA YATA
Keyword(s):  
Dirac Equation ◽  
String Theory ◽  
Boundary Conditions ◽  
Heterotic String ◽  
The Other ◽  
Two Dimensional ◽  
Complete Spectrum ◽  
Heterotic String Theory ◽  
Brane Solution ◽  
Opposite Chirality

We solve the gaugino Dirac equation on a smeared intersecting five-brane solution in E8 × E8 heterotic string theory to search for localized chiral zeromodes on the intersection. The background is chosen to depend on the full two-dimensional overall transverse coordinates to the branes. Under some appropriate boundary conditions, we compute the complete spectrum of zeromodes to find that, among infinite towers of Fourier modes, there exist only three localized normalizable zeromodes, one of which has opposite chirality to the other two.

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