M-Strings

By Babak Haghighat, Amer Iqbal, C. Kozçaz, G. Lockhart, C. Vafa. 2013

249 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2d805d036fc9bbaa1edd83e42b54a7ff80e49df7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. A. Klemm
2. Min-xin Huang
3. C. Vafa
4. Tom Rudelius
5. Babak Haghighat
6. G. Lockhart
7. C. Kozçaz
8. Maximilian Poretschkin

In Nuclear and High Energy Physics

1. C. Vafa
2. A. Klemm
3. Min-xin Huang
4. Marcos Mariño
5. Tom Rudelius
6. C. Kozçaz
7. J. Heckman
8. Maximilian Poretschkin

In Statistical and Nonlinear Physics

1. A. Klemm
2. Min-xin Huang
3. Marcos Mariño
4. C. Vafa
5. Maximilian Poretschkin
6. Tom Rudelius
7. C. Kozçaz
8. Babak Haghighat

Citations in the corpus

• Top down approach to 6D SCFTs (2018, background): “Aspects of these SCFTs have been analyzed in references [168–176,17,177].”
• Refined stable pair invariants for E-, M- and [p, q]-strings (2013, background): “k = 0, we can choose the vertical edge as preferred direction and set Qf = 0 in the SU(2) partition function in [38], which becomes Zinst = [ Z((1)) ]2 .”
• Orbifolds of M-strings (2013, methodology): “In Section 2.5 we provide the quiver description for the orbifold of M-strings (i.e. MA-strings) giving a (4, 0) supersymmetric system which is deduced from the type IIB dual description discussed in Section 2.3.2.”
• Emergent strings from infinite distance limits (2019, unknown): “(3.87) If the degenerate fiber is not wrapped by 7-branes (as can happen already if χ(Y ) = 0), the non-critical string is literally an M-string, while more generally it couples to the enhanced gauge theory on the 7-branes.”