Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP12(2011)031
Keywords
Supersymmetric gauge theory; Duality in Gauge Field Theories; Solitons Monopoles and Instantons; M-Theory
Categories
Funding
- Ministry of Education, Science and Technology
- National Research Foundation of Korea (NRF) [2010-0007512, 2009-0072755, 2009-0084601, 2006-0093850]
- Center for Quantum Spacetime(CQUeST) of Sogang University [2005-0049409]
- STFC [ST/G000581/1, ST/J000434/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/G000581/1, ST/J000434/1] Funding Source: researchfish
- National Research Foundation of Korea [2010-0007512, 2006-0093850, PG006902] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Instantons and W-bosons in 5d maximally supersymmetric Yang-Mills theory arise from a circle compactification of the 6d (2,0) theory as Kaluza-Klein modes and winding self-dual strings, respectively. We study an index which counts BPS instantons with electric charges in Coulomb and symmetric phases. We first prove the existence of unique threshold bound state of (noncommutative) U(1) instantons for any instanton number, and also show that charged instantons in the Coulomb phase correctly give the degeneracy of SU(2) self-dual strings. By studying SU(N) self-dual strings in the Coulomb phase, we find novel momentum-carrying degrees on the worldsheet. The total number of these degrees equals the anomaly coefficient of SU(N) (2,0) theory. We finally show that our index can be used to study the symmetric phase of this theory, and provide an interpretation as the superconformal index of the sigma model on instanton moduli space.
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