Difference between an Einstein frame and a String frame?

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Discussion Overview

The discussion revolves around the concepts of "Einstein frame" and "String frame" within the context of cosmology, particularly in relation to string theory. Participants seek to clarify these terms and their implications in theoretical frameworks.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about the meanings of "Einstein frame" and "String frame" and requests a layman's explanation.
  • Another participant asks for specific references to understand these terms better.
  • A reference to a paper is provided, which discusses the differences between the two frames.
  • From the referenced paper, it is noted that the "Einstein frame" corresponds to standard FRW coordinates in cosmology, while the "String frame" involves a conformal transformation that rescales time and distance based on the dilaton field ##\phi## and the number of dimensions ##N## in string theory.
  • It is mentioned that the dilaton field ##\phi## varies with time, leading to a time-dependent conformal factor, although the reasons for the convenience of this transformation in string theory are not fully understood by all participants.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the meanings of the terms, and the discussion reflects varying levels of understanding and familiarity with string theory concepts.

Contextual Notes

Some assumptions about the familiarity with string theory and cosmological models may limit the clarity of the discussion. The dependence on specific definitions and the implications of the dilaton field are also noted but remain unresolved.

windy miller
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I have listening to talks come across the terms"Einstein frame" and "String frame" but am not at all clear what they mean. Can anyone give a layman's explanation as to what is theses phrases mean in the context of cosmology ?
 
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windy miller said:
I have listening to talks come across the terms"Einstein frame" and "String frame"

Can you give any specific references?
 
windy miller said:

From equations (2) and (3) in that paper, it looks like the "Einstein frame" is the usual FRW coordinates used in standard cosmology, and the "string frame" is a conformal transformation of those coordinates that rescales time and distance in a way that varies with the value of the dilaton field ##\phi## (and also depends on the number of dimensions ##N## in the underlying string theory, but that will be constant for a given model). Since the dilation field ##\phi## presumably varies with time, the conformal factor will also vary with time. Presumably this conformal transformation is convenient for string theory, but I am not familiar enough with string theory to know why.
 
PeterDonis said:
From equations (2) and (3) in that paper, it looks like the "Einstein frame" is the usual FRW coordinates used in standard cosmology, and the "string frame" is a conformal transformation of those coordinates that rescales time and distance in a way that varies with the value of the dilaton field ##\phi## (and also depends on the number of dimensions ##N## in the underlying string theory, but that will be constant for a given model). Since the dilation field ##\phi## presumably varies with time, the conformal factor will also vary with time. Presumably this conformal transformation is convenient for string theory, but I am not familiar enough with string theory to know why.
thanks
 

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