Conformal invariance and string theory in compact space: Bosons

1985 ◽  
Vol 32 (10) ◽  
pp. 2713-2721 ◽  
Author(s):  
Sanjay Jain ◽  
R. Shankar ◽  
Spenta R. Wadia
Keyword(s):  
String Theory ◽  
Compact Space ◽  
Conformal Invariance

scholarly journals Conformal invariance, supersymmetry and string theory

1986 ◽  
Vol 271 (3-4) ◽  
pp. 93-165 ◽  
Author(s):  
Daniel Friedan ◽  
Emil Martinec ◽  
Stephen Shenker
Keyword(s):  
String Theory ◽  
Conformal Invariance

scholarly journals Conformal invariance, supersymmetry and string theory

1986 ◽  
Vol 271 (1) ◽  
pp. 93-165 ◽  
Author(s):  
Daniel Friedan ◽  
Emil Martinec ◽  
Stephen Shenker
Keyword(s):  
String Theory ◽  
Conformal Invariance

scholarly journals Conformal invariance and the metrication of the fundamental forces

2016 ◽  
Vol 25 (12) ◽  
pp. 1644003 ◽  
Author(s):  
Philip D. Mannheim
Keyword(s):  
String Theory ◽  
Conformal Invariance ◽  
Vector Fields ◽  
Axial Vector ◽  
Gravitational Theory ◽  
Einstein Gravity ◽  
Conformal Gravity ◽  
Yang Mills ◽  
Standard Picture ◽  
Fundamental Forces

We revisit Weyl’s metrication (geometrization) of electromagnetism. We show that by making Weyl’s proposed geometric connection be pure imaginary, not only are we able to metricate electromagnetism, an underlying local conformal invariance makes the geometry be strictly Riemannian and prevents observational gravity from being complex. Via torsion, we achieve an analogous metrication for axial-vector fields. We generalize our procedure to Yang–Mills theories, and achieve a metrication of all the fundamental forces. Only in the gravity sector does our approach differ from the standard picture of fundamental forces, with our approach requiring that standard Einstein gravity be replaced by conformal gravity. We show that quantum conformal gravity is a consistent and unitary quantum gravitational theory, one that, unlike string theory, only requires four spacetime dimensions.

scholarly journals DISCONTINUITIES AND COLLISION OF GRAVITATIONAL WAVES IN STRING THEORY

1995 ◽  
Vol 10 (33) ◽  
pp. 2531-2542 ◽  
Author(s):  
ALEXANDROS A. KEHAGIAS ◽  
E. PAPANTONOPOULOS
Keyword(s):  
String Theory ◽  
Gravitational Waves ◽  
Conformal Invariance ◽  
Antisymmetric Tensor ◽  
Dilaton Field ◽  
Plane Gravitational Waves

We examine here discontinuities in the metric, the antisymmetric tensor and the dilaton field which are allowed by conformal invariance. We find that the surfaces of discontinuity must necessarily be null and both shock and impulsive waves are allowed. We employ our results for the case of colliding plane gravitational waves and we discuss the SL(2, [Formula: see text]) × SU(2)/[Formula: see text] × [Formula: see text]WZW model in the present perspective. In particular, the singularities encountered in this model may be viewed as the result of the mutual focusing of the colliding waves.

scholarly journals THE ROLE OF QUANTIZED 2-DIM. GRAVITY IN STRING THEORY

1990 ◽  
Vol 05 (11) ◽  
pp. 863-876 ◽  
Author(s):  
AVINASH DHAR ◽  
T. JAYARAMAN ◽  
K. S. NARAIN ◽  
SPENTA R. WADIA
Keyword(s):  
String Theory ◽  
Time Dependence ◽  
Current Algebra ◽  
Conformal Invariance ◽  
Arbitrary Number ◽  
Central Charge ◽  
Vertex Operators ◽  
Extra Time ◽  
Reparametrization Invariance

We present a formulation of string theory in which the 2-dim. metric is exactly quantized in the framework of SL (2, R) current algebra. In this way we replace the conformal invariance prescription by the principle of reparametrization invariance. The theory is formulated in arbitrary number of dimensions since the usual restriction of fixed matter central charge is not present. As a concrete illustration of our approach, we show that in 25 Euclidean dimensions the usual amplitudes of the 26-dimensional bosonic string theory arise. The extra time-like dimension emerges as a mode of the 2-dim. metric and the gravitational dressing of vertex operators gives rise to their time dependence.

scholarly journals On D-brane dynamics and moduli stabilization

2017 ◽  
Vol 32 (29) ◽  
pp. 1750150
Author(s):  
Noriaki Kitazawa
Keyword(s):  
String Theory ◽  
Fixed Points ◽  
Supersymmetry Breaking ◽  
Compact Space ◽  
Complex Structure ◽  
Simultaneous Presence ◽  
Moduli Stabilization ◽  
Type Iib String Theory ◽  
The Stability ◽  
Repulsive Forces

We discuss the effect of the dynamics of D-branes on moduli stabilization in type IIB string theory compactifications, with reference to a concrete toy model of [Formula: see text] orientifold compactification with fractional D3-branes and anti-D3-branes at orbifold fixed points. The resulting attractive forces between anti-D3-branes and D3-branes, together with the repulsive forces between anti-D3-branes and O3-planes, can affect the stability of the compact space. There are no complex structure moduli in [Formula: see text] orientifold, which should thus capture some generic features of more general settings where all complex structure moduli are stabilized by three-form fluxes. The simultaneous presence of branes and anti-branes brings along the breaking of supersymmetry. Non-BPS combinations of this type are typical of “brane supersymmetry breaking” and are a necessary ingredient in the KKLT scenario for stabilizing the remaining Kähler moduli. The conclusion of our analysis is that, while mutual D-brane interactions sometimes help Kähler moduli stabilization, this is not always the case.

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