### The large N | limit of M2-branes on Lens spaces

We study the matrix model for N M2-branes wrapping a Lens space$L\left( {p,1} \right)={S^3}/{{\mathbb{Z}}_p}$. This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over flat connections and...

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Published in: Journal of High Energy Physics, Vol. 2012, No. 10 (2012), p. 1-23 ; electronic Article English 1029-8479 A r X iv e P rint:1204.1280 Online-Ressource 10.1007/JHEP10(2012)057 Show QR Code
 LEADER 001 02083nma a2200433 c 4500 SPR047863862 DE-601 20150325041017.0 cr uuu---uuuuu 150315s2012 000 0 eng d 7 |a 10.1007/JHEP10(2012)057  |2 doi 8 |a JHEP10(2012)057 |a JHEP10(2012)057 |b ger  |c GBVCP 0 |a eng 1 |a Alday, F. 1 0 |a The large N | limit of M2-branes on Lens spaces  |h Elektronische Ressource |a Online-Ressource |a A r X iv e P rint:1204.1280 |a We study the matrix model for N M2-branes wrapping a Lens space$L\left( {p,1} \right)={S^3}/{{\mathbb{Z}}_p}$. This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over flat connections and a potential that depends non-trivially on p. We study the matrix model both numerically and analytically in the large N limit, finding that a certain family of p flat connections give an equal dominant contribution. At large N we find the same eigenvalue distribution for all p, and show that the free energy is simply 1/p times the free energy on a three-sphere, in agreement with gravity dual expectations. 2 7 |a OriginalPaper  |2 gnd 7 |a Supersymmetric gauge theory  |2 gnd 7 |a Gauge-gravity correspondence  |2 gnd 7 |a Chern-Simons Theories  |2 gnd 7 |a 1/N Expansion  |2 gnd 0 0 |A f  |a OriginalPaper 0 |5 DE-601 1 0 |A s  |a Supersymmetric gauge theory 1 1 |A s  |a Gauge-gravity correspondence 1 2 |A s  |a Chern-Simons Theories 1 3 |A s  |a 1/N Expansion 1 |5 DE-601 1 |a Fluder, Martin 1 |a Sparks, James 0 8 |i in  |t Journal of High Energy Physics  |d Berlin : Springer  |g Vol. 2012, No. 10 (2012), p. 1-23  |q 2012:10<1-23  |w (DE-601)SPR047830530  |x 1029-8479 4 1 |u http://dx.doi.org/10.1007/JHEP10(2012)057  |3 Volltext |a GBV_SPRINGER |a AR |d 2012  |j 2012  |e 10  |c 10  |h 1-23