More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3

Abstract

We perform a systematic analysis on supersymmetric states in N=4 supersymmetric Yang-Mills theory (SYM) on R x S^3. We find a new set of 1/16 BPS equations and determine the precise configuration of the supersymmetric states by solving all 1/16 BPS equations when they are valued in Cartan subalgebra of a gauge group and the fermionic fields vanish. We also determine the number of supersymmetries preserved by the supersymmetric states varying the parameters of the BPS solutions. As a byproduct we present the complete set of such supersymmetric states in N=8 SYM on R x S^2 by carrying out dimensional reduction.

arXiv comment37 pages, v2: typos corrected, comments and Acknowledgements added

References in corpus (38)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• An Index for 4 dimensional Super Conformal Theories
• Bubbling AdS space and 1/2 BPS geometries
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• General supersymmetric AdS5 black holes
• Large branes in AdS and their field theory dual
• Supersymmetric AdS5 black holes
• SUSY and Goliath
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• Supersymmetric multi-charge AdS_5 black holes
• Fivebranes from gauge theory
• Giant Gravitons from Holomorphic Surfaces
• Large N BPS states and emergent quantum gravity
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• 1/2-BPS states in M theory and defects in the dual CFTs
• Relation between the 4d superconformal index and the S^3 partition function
• BMN Gauge Theory as a Quantum Mechanical System
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Fermions from Half-BPS Supergravity
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Counting 1/8-BPS Dual-Giants
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Brane webs and 1/4-BPS geometries
• 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM
• Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index
• From Gravitons to Giants
• Dual giant gravitons in AdS${}_m$ $\times$ Y${}^n$ (Sasaki-Einstein)
• Black Hole Giants
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• BPS Electromagnetic Waves on Giant Gravitons
• Super-Yang-Mills theories on S4 x R
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• Supersymmetric Electromagnetic Waves on Giants and Dual-Giants

Cited by in corpus (3)

• Lectures on AdS Black Holes, Holography and Localization
• Superconformal index of N=3 orientifold theories
• On BPS Strings in $\mathcal{N}=4$ Yang-Mills Theory