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**11 - 19**of**19**### hep-th/0405076 Loops versus Matrices- The Nonperturbative Aspects of Noncritical String-

, 2004

"... The nonperturbative aspects of string theory are explored for noncritical string in two distinct formulations, loop equations and matrix models. The effects corresponding to the D-brane in these formulations are especially investigated in detail. It is shown that matrix models can universally yield ..."

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The nonperturbative aspects of string theory are explored for noncritical string in two distinct formulations, loop equations and matrix models. The effects corresponding to the D-brane in these formulations are especially investigated in detail. It is shown that matrix models can universally yield a definite value of the chemical potential for an instanton while loop equations cannot. This implies that it may not be possible to formulate string theory nonperturbatively solely in terms of closed strings. a

### unknown title

, 2007

"... Preprint typeset in JHEP style- HYPER VERSION Black strings with negative cosmological constant: inclusion of electric charge and rotation ..."

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Preprint typeset in JHEP style- HYPER VERSION Black strings with negative cosmological constant: inclusion of electric charge and rotation

### Quantifying a Possibly Reduced Jet-Medium Coupling of the sQGP at the LHC

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### Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models

"... We study the BPS spectrum and vacuum moduli spaces in dimensional reductions of Chern-Simons-matter theories with N> 2 supersymmetry to zero dimensions. Our main example is a matrix model version of the ABJM theory which we relate explicitly to certain reduced 3-algebra models. We find the explic ..."

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We study the BPS spectrum and vacuum moduli spaces in dimensional reductions of Chern-Simons-matter theories with N> 2 supersymmetry to zero dimensions. Our main example is a matrix model version of the ABJM theory which we relate explicitly to certain reduced 3-algebra models. We find the explicit maps from Chern-Simons quiver matrix models to dual IKKT matrix models. We address the problem of topologically twisting the ABJM matrix model, and along the way construct a new twist of the IKKT model. We construct a cohomological matrix model whose partition function localizes onto a moduli space specified by 3-algebra relations which live in the double of the conifold quiver. It computes an equivariant index enumerating framed BPS states with specified R-charges which can be expressed as a combinatorial sum over certain filtered pyramid partitions. ar X iv