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arXiv · hep-th/0411148

The large N limit of C/Z_N and supergravity

Matthew Headrick·Joris Raeymaekers
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Abstract

The C/Z_N orbifold of type II string theory has localized tachyons with m^2 ranging from -1+1/N to -2/N in units of 2/α'. We show that by restricting attention to the lightest tachyons it is possible to take a zero-slope limit where N is taken to infinity while Nα' is held fixed. This is done by applying Buscher duality in the angular direction of the cone to obtain a supergravity solution on which the tachyons are gravitational instabilities. In this picture, supergravity provides a natural off-shell description of the tachyonic interactions. For example, the three-point couplings can be read off easily (to leading order in 1/N) from the supergravity action, and are in agreement with the on-shell couplings computed using CFT techniques.

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Matthew Headrick, Joris Raeymaekers. 2005-03-22. The large N limit of C/Z_N and supergravity. https://doi.org/10.1088/1126-6708%2F2005%2F02%2F054

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