Remember Me
Or use your Academic/Social account:


Or use your Academic/Social account:


You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.


Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message


Verify Password:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Gang, Dongmin; Kim, Nakwoo; Lee, Sangmin (2014)
Publisher: Springer/SISSA
Journal: JHEP
Languages: English
Types: Article
Subjects: M-Theory, Gauge-gravity correspondence, High Energy Physics - Theory, Chern-Simons Theories

Classified by OpenAIRE into

arxiv: High Energy Physics::Theory
We study the physics of multiple M5-branes compactified on a hyperbolic 3-manifold. On the one hand, it leads to the 3d-3d correspondence which maps an N = 2 $$ \mathcal{N}=2 $$ superconformal field theory to a pure Chern-Simons theory on the 3-manifold. On the other hand, it leads to a warped AdS 4 geometry in M-theory holographically dual to the superconformal field theory. Combining the holographic duality and the 3d-3d correspondence, we propose a conjecture for the large N limit of the perturbative free energy of a Chern-Simons theory on hyperbolic 3-manifold. The conjecture claims that the tree, one-loop and two-loop terms all share the same N 3 scaling behavior and are proportional to the volume of the 3-manifold, while the three-loop and higher terms are suppressed at large N . Under mild assumptions, we prove the tree and one-loop parts of the conjecture. For the two-loop part, we test the conjecture numerically in a number of examples and find precise agreement. We also confirm the suppression of higher loop terms in a few examples.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] I.R. Klebanov and A.A. Tseytlin, Entropy of near extremal black p-branes, Nucl. Phys. B [12] H.-C. Kim, S. Kim, S.-S. Kim and K. Lee, The general M5-brane superconformal index, Commun. Math. Phys. 325 (2014) 367 [arXiv:1108.4389] [INSPIRE].
    • [15] N. Hama, K. Hosomichi and S. Lee, SUSY Gauge Theories on Squashed Three-Spheres, [17] T.D. Dimofte, D. Gaiotto and S. Gukov, 3-Manifolds and 3d Indices, Adv. Theor. Math.
    • correspondence, Phys. Rev. D 60 (1999) 104001 [hep-th/9903238] [INSPIRE]. [34] A. Donos, J.P. Gauntlett, N. Kim and O. Varela, Wrapped M5-branes, consistent truncations [35] H. Nastase, D. Vaman and P. van Nieuwenhuizen, Consistent nonlinear KK reduction of 11d [53] S. Garoufalidis, M. Goerner and C.K. Zickert, Gluing equations for PGL(n, C)-representa[54] T.D. Dimofte, M. Gabella and A.B. Goncharov, K-Decompositions and 3d Gauge Theories, [55] A. Kapustin, B. Willett and I. Yaakov, Exact Results for Wilson Loops in Superconformal [57] M. Culler, N. Dunfield and J.R. Weeks, SnapPy, a computer program for studying the [58] E. Witten, Analytic Continuation Of Chern-Simons Theory, arXiv:1001.2933 [INSPIRE]. [59] I. Bah, M. Gabella and N. Halmagyi, BPS M5-branes as Defects for the 3d-3d
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article