Abstract
In Chap. 6, we saw that drastic changes in various physics around string theory have been brought from string theory, by the discovery of D-branes. Although each of these are very meaningful and interesting developments, on the other hand how about developments in string theory itself? How has string theory been developed by advent of D-branes? String theory is a candidate theory unifying all the elementary particles and their interactions. What extent has string theory been understood as the ultimate theory to?
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Notes
- 1.
The T-duality was found by K. Kikkawa and M. Yamasaki, in 1984.
- 2.
Though the discussion here is rather heuristic, actually T-duality can be defined as a transformation exchanging the coordinate τ and σ on the worldsheet of a string, and with it, it can be shown that the free boundary condition and the fixed boundary condition exchange under the T-duality transformation.
- 3.
The metric is the scale for measuring the intrinsic length of that direction, and to measure the length of the compactified circumference by using it, we understand the relation between the circumference and the metric.
- 4.
M-theory was named by E. Witten.
- 5.
M(atrix) theory was proposed by T. Banks, W. Fischler, S. Shenker, and L. Susskind in 1996, and is called BFSS Matrix theory by taking their initial letters. On the other hand, a matrix model which provides a definition of type IIB superstring theory was proposed. This is called IKKT matrix model (or type IIB matrix model) which was named after the initial letters of advocators N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, and researches have been engaged to make clear a mechanism of spacetime generation based on this.
- 6.
M(atrix) theory is derived by using the method called a matrix regularization, from a theory of an M2-brane (membrane). Here I omit the derivation.
- 7.
The brane democracy was proposed by P. Townsend in 1995.
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© 2012 Springer-Verlag Berlin Heidelberg
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Hashimoto, K. (2012). Toward a Description of Ultimate Theory. In: D-Brane. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23574-0_7
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DOI: https://doi.org/10.1007/978-3-642-23574-0_7
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