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A cell's plasma membrane demarcates the cell's borders and determines the nature of its interaction with the environment. Cells exclude certain substances, take in others, and excrete some others in controlled quantities. The plasma membrane must be flexible to allow certain cells, such as red and white blood cells, to change their shape while passing through narrow capillaries. These are the more obvious plasma membrane functions. In addition, the plasma membrane's surface carries markers that...
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Reconstitution of Septin Assembly at Membranes to Study Biophysical Properties and Functions
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Membranes on an orbifold.

Neil Lambert1, David Tong

  • 1Department of Mathematics, Kings College London, United Kingdom.

Physical Review Letters
|September 4, 2008
PubMed
Summary
This summary is machine-generated.

We present an M theory interpretation of an N=8 supersymmetric Chern-Simons theory, revealing it describes two membranes in an R8/Z2 orbifold. The massive spectrum is linked to the triangle area formed by these membranes and the fixed point.

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Area of Science:

  • High-energy physics
  • String theory
  • Supersymmetric gauge theories

Background:

  • Recent discovery of N=8 supersymmetric Chern-Simons theory with SO(4) gauge symmetry.
  • Need for a theoretical framework to interpret this new quantum field theory.

Purpose of the Study:

  • To provide an M theory interpretation of the N=8 supersymmetric Chern-Simons theory.
  • To explore the relationship between this theory and super Yang-Mills theory.
  • To analyze the moduli space and massive spectrum of the theory.

Main Methods:

  • Utilizing M theory as an interpretative framework.
  • Analyzing the classical and infrared moduli spaces at different Chern-Simons levels.
  • Investigating the massive spectrum at generic points in the moduli space.

Main Results:

  • The theory is interpreted as describing two membranes in the R8/Z2 orbifold.
  • At levels k=1 and k=2, the moduli space matches that of SO(4) and SO(5) super Yang-Mills theory.
  • For higher levels, the moduli space is a quotient of the classical moduli space.
  • The massive spectrum is proportional to the triangle area formed by the membranes and the orbifold fixed point.

Conclusions:

  • The M theory interpretation offers a novel perspective on the N=8 supersymmetric Chern-Simons theory.
  • The identified connection to super Yang-Mills theory provides further theoretical insights.
  • The geometric interpretation of the massive spectrum offers a unique characteristic of this system.