کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893963 1044124 2011 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hitchin’s equations and MM-theory phenomenology
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Hitchin’s equations and MM-theory phenomenology
چکیده انگلیسی

Phenomenological compactifications of MM-theory involve seven-manifolds with G2G2 holonomy and various singularities. Here we study local geometries with such singularities, by thinking of them as compactifications of 7d7d supersymmetric Yang–Mills theory on a three-manifold Q3Q3. We give a general discussion of compactifications of 7d7d Yang–Mills theory in terms of Higgs bundles on Q3Q3. We show that they can be constructed using spectral covers, which are Lagrangian branes with a flat connection in the cotangent bundle T∗Q3T∗Q3. We explain the dictionary with ALE fibrations over Q3Q3 and conjecture that these configurations have G2G2 holonomy. We further develop tools to study the low energy effective theory of such a model. We show that the naive massless spectrum is corrected by instanton effects. Taking the instanton effects into account, we find that the massless spectrum and many of the interactions can be computed with Morse theoretic methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 61, Issue 7, July 2011, Pages 1223–1247
نویسندگان
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