scholarly journals ASPECTS OF COLLAPSING CYCLES

2001 ◽  
Vol 16 (05) ◽  
pp. 767-779
Author(s):  
BRIAN R. GREENE
Keyword(s):  
String Theory ◽  
Quantum Geometry ◽  
Topology Change ◽  
Dynamical Topology ◽  
Quantum Volume

Much has been learned about string theory over the last few years by studying properties of cycles and branes in a given background geometry. Here we discuss three situations (quantum volume, attractor flows/D-brane stability, and dynamical topology change) in which cycles in a Calabi-Yau background evolve and/or degenerate in some manner, yielding various insights into aspects of quantum geometry.

scholarly journals Dynamical topology change in string theory

1994 ◽  
Vol 331 (1-2) ◽  
pp. 51-62 ◽  
Author(s):  
Elias Kiritsis ◽  
Costas Kounnas
Keyword(s):  
String Theory ◽  
Topology Change ◽  
Dynamical Topology

Manifest non-locality in quantum mechanics, quantum field theory and quantum gravity

2019 ◽  
Vol 34 (28) ◽  
pp. 1941004
Author(s):  
Laurent Freidel ◽  
Robert G. Leigh ◽  
Djordje Minic
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Closed String ◽  
Covariant Formulation ◽  
Quantum Field ◽  
Quantum Geometry ◽  
Local Quantum ◽  
Generic Representation ◽  
Non Locality

We summarize our recent work on the foundational aspects of string theory as a quantum theory of gravity. We emphasize the hidden quantum geometry (modular spacetime) behind the generic representation of quantum theory and then stress that the same geometric structure underlies a manifestly T-duality covariant formulation of string theory, that we call metastring theory. We also discuss an effective non-commutative description of closed strings implied by intrinsic non-commutativity of closed string theory. This fundamental non-commutativity is explicit in the metastring formulation of quantum gravity. Finally we comment on the new concept of metaparticles inherent to such an effective non-commutative description in terms of bi-local quantum fields.

scholarly journals Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory

1994 ◽  
Vol 416 (2) ◽  
pp. 414-480 ◽  
Author(s):  
Paul S. Aspinwall ◽  
Brian R. Greene ◽  
David R. Morrison
Keyword(s):  
String Theory ◽  
Moduli Space ◽  
Topology Change ◽  
Spacetime Topology

scholarly journals Dynamical topology change in M theory

2001 ◽  
Vol 42 (7) ◽  
pp. 3171-3187 ◽  
Author(s):  
Brian R. Greene ◽  
Koenraad Schalm ◽  
Gary Shiu
Keyword(s):  
Topology Change ◽  
Dynamical Topology ◽  
M Theory

Topology change in string theory

1990 ◽  
Vol 240 (1-2) ◽  
pp. 61-66 ◽  
Author(s):  
Mirjam Cvetič ◽  
David Kutasov
Keyword(s):  
String Theory ◽  
Topology Change
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