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M-Strings

Babak Haghighat
(
- Harvard U., Phys. Dept.
)
,
Amer Iqbal
(
- Lahore U. Mgt. Sci.
)
,
Can Kozçaz
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Guglielmo Lockhart
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

May 27, 2013

64 pages

Published in:

Commun.Math.Phys. 334 (2015) 2, 779-842

Published: Aug 19, 2014

e-Print:

1305.6322 [hep-th]

DOI:

10.1007/s00220-014-2139-1

View in:

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Abstract: (Springer)

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 A

_{n-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}

. 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}

, but where the right-moving fermions couple to a modification of the tangent bundle. This construction arises from a dual A

_{n-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.

Note:

75 pages, 16 figures. Minor corrections to the paper, references added

supersymmetry: 2
sigma model
quiver
domain wall
string
twist
dimension: 2
M-brane: 2
M-brane: 5

References(64)

Figures(17)

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(
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