The conformal geometry of interacting bosonic strings

1988 ◽  
Vol 5 (6) ◽  
pp. L91-L94
Author(s):  
F Fucito
Keyword(s):  
Bosonic Strings ◽  
Conformal Geometry

scholarly journals GENERALIZED W3-STRINGS FROM FREE FIELDS

1995 ◽  
Vol 10 (06) ◽  
pp. 515-524 ◽  
Author(s):  
J. M. FIGUEROA-O'FARRILL ◽  
C. M. HULL ◽  
L. PALACIOS ◽  
E. RAMOS
Keyword(s):  
Bosonic Strings ◽  
Free Field ◽  
Space Time ◽  
General Construction ◽  
Special Cases ◽  
Free Fields ◽  
Rule Out ◽  
General Conditions ◽  
String Theories

The conventional quantization of w3-strings gives theories which are equivalent to special cases of bosonic strings. We explore whether a more general quantization can lead to new generalized W3-string theories by seeking to construct quantum BRST charges directly without requiring the existence of a quantum W3-algebra. We study W3-like strings with a direct space-time interpretation — that is, with matter given by explicit free field realizations. Special emphasis is placed on the attempt to construct a quantum W-string associated with the magic realizations of the classical w3-algebra. We give the general conditions for the existence of W3-like strings, and comment on how the known results fit into our general construction. Our results are negative: we find no new consistent string theories, and in particular rule out the possibility of critical strings based on the magic realizations.

The explicit gauge invariance of the free closed bosonic strings and open fermionic string

1987 ◽  
Vol 293 ◽  
pp. 293-316 ◽  
Author(s):  
Pierre Ramond ◽  
V.G.J. Rodgers ◽  
R.R. Viswanathan
Keyword(s):  
Bosonic Strings ◽  
Gauge Invariance ◽  
Fermionic String

Coupling of open to closed bosonic strings in four dimensions

1988 ◽  
Vol 203 (1-2) ◽  
pp. 109-117 ◽  
Author(s):  
Zvi Bern ◽  
David C. Dunbar
Keyword(s):  
Bosonic Strings ◽  
Four Dimensions

SPECTRAL FLOW AND FREE FIELD REALIZATIONS OF BOSONIC STRINGS ON NAPPI–WITTEN GROUP MANIFOLD

2011 ◽  
Vol 26 (01) ◽  
pp. 149-160
Author(s):  
GANG CHEN
Keyword(s):  
Lie Algebra ◽  
Bosonic Strings ◽  
Free Field ◽  
Geometric Interpretation ◽  
Closed String ◽  
Space Time ◽  
Spectral Flow ◽  
Affine Lie Algebra ◽  
Group Manifold ◽  
Free Field Realization

In this paper we study some aspects of closed string theories in the Nappi–Witten space–time. The effects of spectral flow on the geodesics are studied in terms of an explicit parametrization of the group manifold. The worldsheets of the closed strings under the spectral flow of the geodesics can be classified into four classes, each with a geometric interpretation. We also obtain a free field realization of the Nappi–Witten affine Lie algebra in the most general conditions using a different but equivalent parametrization of the group manifold.

scholarly journals 3D Printing: Conformal Geometry and Multimaterial Additive Manufacturing through Freeform Transformation of Building Layers (Adv. Mater. 11/2021)

2021 ◽  
Vol 33 (11) ◽  
pp. 2170082
Author(s):  
Jigang Huang ◽  
Henry Oliver T. Ware ◽  
Rihan Hai ◽  
Guangbin Shao ◽  
Cheng Sun
Keyword(s):  
Additive Manufacturing ◽  
3D Printing ◽  
Conformal Geometry

John–Nirenberg radius and collapsing in conformal geometry

2020 ◽  
Vol 24 (5) ◽  
pp. 759-782
Author(s):  
Yuxiang Li ◽  
Guodong Wei ◽  
Zhipeng Zhou
Keyword(s):  
Conformal Geometry

The inequality of Moser and Trudinger and applications to conformal geometry

2003 ◽  
Vol 56 (8) ◽  
pp. 1135-1150 ◽  
Author(s):  
Sun-Yung Alice Chang ◽  
Paul C. Yang
Keyword(s):  
Conformal Geometry

scholarly journals A Cylindrical Wideband Conformal Fractal Antenna for GPS Application

2017 ◽  
Vol 6 (3) ◽  
pp. 64
Author(s):  
R. Sahoo ◽  
D. Vakula
Keyword(s):  
Conformal Geometry ◽  
Ground Plane ◽  
Antenna Design ◽  
Fractal Antenna ◽  
Frequency Range ◽  
Bandwidth Enhancement ◽  
Conformal Antenna ◽  
Operating Frequency Range ◽  
Definition Of ◽  
Good Agreement

In this paper, a novel wideband conformal fractal antenna is proposed for GPS application. The concepts of fractal and partial ground are used in conformal antenna design for miniaturization and bandwidth enhancement. It comprises of Minkowski fractal patch on a substrate of Rogers RT/duroid 5880 with permittivity 2.2 and thickness of 0.787mm with microstrip inset feed. The proposed conformal antenna has a patch dimension about 0.39λmm×0.39λmm, and partial ground plane size is 29mm×90mm.The proposed antenna is simulated, fabricated and measured for both planar and conformal geometry, with good agreement between measurements and simulations. The size of the fractal patch is reduced approximately by 32% as compared with conventional patch. It is observed that the conformal antenna exhibits a fractional bandwidth(for the definition of -10dB) of 43.72% operating from 1.09 to 1.7GHz, which is useful for L1(1.56-1.58GHz), L2(1.21-1.23GHz), L3(1.37-1.39GHz), L4(1.36-1.38GHz), and L5(1.16-1.18 GHz) in GPS and Galileo frequencies: E=1589.742MHz(4MHzbandwidth), E2=1561. 098MHz(4MHzbandwidth), E5a=1176.45MHz(=L5),E5b= 1207.14MHz, and E6=1278.75MHz(40MHz bandwidth). The radiation pattern exhibits an omnidirectional pattern, and gain of proposed antenna is 2.3dBi to 3.5dBi within operating frequency range.

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