• DOI:10.1007/s00220-014-2139-1
• Corpus ID: 227912418

M-Strings

@article{Haghighat2013MStrings,
  title={M-Strings},
  author={Babak Haghighat and Amer Iqbal and Can Kozçaz and Guglielmo Lockhart and Cumrun Vafa},
  journal={Communications in Mathematical Physics},
  year={2013},
  volume={334},
  pages={779-842}
}

• Babak Haghighat, A. Iqbal, +2 authors C. Vafa
• Published 27 May 2013
• Mathematics
• Communications in Mathematical Physics

M2 branes suspended between adjacent parallel M5 branes lead to light strings, the ‘M-strings’. In this paper we compute the elliptic genus of M-strings, twisted by maximally allowed symmetries that preserve 2d (2, 0) supersymmetry. In a codimension one subspace of parameters this reduces to the elliptic genus of the (4, 4) supersymmetric An-1 quiver theory in 2d. We contrast the elliptic genus of N M-strings with the (4, 4) sigma model on the N-fold symmetric product of $${{\mathbb{R}}^4}$$R4. For N = 1 they are the same, but for N > 1 they are close, but not identical. Instead the elliptic genus of (4, 4) N M-strings is the same as the elliptic genus of (4, 0) sigma models on the N-fold symmetric product of $${{\mathbb{R}}^4}$$R4, but where the right-moving fermions couple to a modification of the tangent bundle. This construction arises from a dual An-1 quiver 6d gauge theory with U(1) gauge groups. Moreover, we compute the elliptic genus of domain walls which separate different numbers of M2 branes on the two sides of the wall.