What Role Do Conifolds Play in Superstring Theory?

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Discussion Overview

The discussion revolves around the role of conifolds in superstring theory, exploring their definitions, properties, and significance within the context of string theory. Participants delve into the terminology associated with conifolds and their mathematical characteristics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant describes a conifold as consisting of two cones united by the vertex and questions its role in superstring theory.
  • Another participant notes that the suffix "-fold" in terms like "conifold" and "orientifold" relates to constructions of manifolds, suggesting that these terms denote different kinds of manifolds.
  • A participant lists jargon related to conifolds, including "conifold singularity," "conifold metric," "deformed conifold," and "resolved conifold," expressing a desire to understand these terms.
  • One contribution explains that a conifold is a type of manifold that can have conically singular points, contrasting it with smooth manifolds and providing analogies to visualize the concept.

Areas of Agreement / Disagreement

The discussion includes various perspectives on the definition and implications of conifolds, with no clear consensus on their specific roles or properties in superstring theory. Participants express differing levels of understanding and familiarity with the topic.

Contextual Notes

Some terms and concepts related to conifolds remain undefined or unclear, and the discussion does not resolve the complexities surrounding their mathematical properties or their implications in string theory.

meteor
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What's a conifold worth for?
My investigations have lead me to the conclusion that a conifold consist of two cones united by the vertex. What a strange construction! So what's the role of conifolds in superstring theory?
So, why there are so many constructions in superstring theory that end in -old (e.g. orientifold)?
 
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Originally posted by meteor
What's a conifold worth for?
My investigations have lead me to the conclusion that a conifold consist of two cones united by the vertex. What a strange construction! So what's the role of conifolds in superstring theory?
So, why there are so many constructions in superstring theory that end in -old (e.g. orientifold)?

i don t know what a conifold is, but i can tell you that all the -fold words come from constructions of manifolds. these are just different kinds of manifolds.
 
Some of the jargon related to conifolds:
- conifold singularity
- conifold metric
- deformed conifold
- resolved conifold

I would like to know what are all these things
 


The term "conifold" is a contraction of "cone" and the suffix "-fold", the latter of which derives from "manifold". Whereas a manifold (like the surface of a sphere or a donut) is smooth at every point, a conifold is allowed to have conically singular (non-smooth) points. Think of a sphere sprouting sharp quills like a porcupine, or imagine the surface of a donut being made more and more slender at one place until it pinches down to a point, so the result resembles a croissant the conical tips of which are brought together to touch.

The conifolds in string theory are complex 3-dimensional (real 6-dimensional), and are impossible to depict. Nevertheless the equations defining them allow us to identify the points where they are not smooth, and verify that the immediate neighborhood of those singular points are like a cone.

Check out also the Wikipedia article on conifolds.

Cheers, Tristan
 

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