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arxiv 0706.1647 v1 pith:ULUNEI5N submitted 2007-06-12 hep-lat hep-th

Non-lattice simulation for supersymmetric gauge theories in one dimension

classification hep-lat hep-th
keywords gaugelatticesupersymmetrictheoriesapproachcasesnon-latticesimulation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions makes it difficult to even formulate an appropriate lattice theory. We propose to circumvent all these problems inherent in the lattice approach by adopting a non-lattice approach in the case of one-dimensional supersymmetric gauge theories, which are important in the string/M theory context.

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  1. An effective field theory approach to the sign problem in BFSS

    hep-th 2026-06 unverdicted novelty 7.0

    The Pfaffian phase in BFSS becomes an O(9) pseudoscalar operator in a bosonic matrix integral, requiring 10-loop order in the high-T expansion before the sign problem is detectable in the 't Hooft regime.