ترغب بنشر مسار تعليمي؟ اضغط هنا

Thermal Correlators and Bosonization Dualities in Large $N$ Chern Simons Matter Theories

297   0   0.0 ( 0 )
 نشر من قبل Sudip Ghosh
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English




اسأل ChatGPT حول البحث

We consider $3$-dimensional conformal field theories with $U(N)_{kappa}$ Chern Simons gauge fields coupled to bosonic and fermionic matter fields transforming in the fundamental representation of the gauge group. In these CFTs, we compute in the tHooft large $N$ limit and to all orders in the tHooft coupling $lambda= N/ kappa$, the thermal two-point correlation functions of the spin $s=0$, $s=1$ and $s=2$ gauge invariant conformal primary operators. These are the lowest dimension single trace scalar, the $U(1)$ current and the stress tensor operators respectively. Our results furnish additional tests of the conjectured bosonization dualities in these theories at finite temperature.



قيم البحث

اقرأ أيضاً

373 - Mitsutoshi Fujita 2013
We study large N orbifold equivalences involving three-dimensional N=3 and N=4 supersymmetric quiver Chern-Simons-matter theories. The gravity dual of the N=3 Chern-Simons-matter theory is described by AdS4xM7 where the tri-Sasaki manifold M7 is know n as the Eschenburg space. We find evidence that a large N orbifold equivalence for the N=4 case continues from the M-theory limit to the weak-coupling limit. For the N=3 case, we find consistent large N equivalences involving a projection changing the nodes of the gauge groups, and also for a projection changing Chern-Simons levels where for the latter projection, the BPS monopole operators behave as expected in large N equivalence. For both cases we show, using the gravity dual, that the critical temperature of the confinement/deconfinement transition does not change and the entropy behaves as expected under the orbifold equivalence. We show that large N orbifold equivalence changing Chern-Simons levels can be explained using the planar equivalence in the mirror dual.
We present new circular Wilson loops in three-dimensional N=4 quiver Chern-Simons-matter theory on S^3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Includ ing then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.
We study a certain class of supersymmetric (SUSY) observables in 3d $mathcal{N}=2$ SUSY Chern-Simons (CS) matter theories and investigate how their exact results are related to the perturbative series with respect to coupling constants given by inver se CS levels. We show that the observables have nontrivial resurgent structures by expressing the exact results as a full transseries consisting of perturbative and non-perturbative parts. As real mass parameters are varied, we encounter Stokes phenomena at an infinite number of points, where the perturbative series becomes non-Borel-summable due to singularities on the positive real axis of the Borel plane. We also investigate the Stokes phenomena when the phase of the coupling constant is varied. For these cases, we find that the Borel ambiguities in the perturbative sector are canceled by those in nonperturbative sectors and end up with an unambiguous result which agrees with the exact result even on the Stokes lines. We also decompose the Coulomb branch localization formula, which is an integral representation for the exact results, into Lefschetz thimble contributions and study how they are related to the resurgent transseries. We interpret the non-perturbative effects appearing in the transseries as contributions of complexified SUSY solutions which formally satisfy the SUSY conditions but are not on the original path integral contour.
352 - Wei Gu , Du Pei , Ming Zhang 2021
We investigate phases of 3d ${cal N}=2$ Chern-Simons-matter theories, extending to three dimensions the celebrated correspondence between 2d gauged Wess-Zumino-Witten (GWZW) models and non-linear sigma models (NLSMs) with geometric targets. We find t hat although the correspondence in 3d and 2d are closely related by circle compactification, an important subtlety arises in this process, changing the phase structure of the 3d theory. Namely, the effective theory obtained from the circle compactification of a phase of a 3d ${cal N}=2$ gauge theory is, in general, different from the phase of the 3d ${cal N}=2$ theory on ${mathbb R}^2times S^{1}$, which means taking phases of a 3d gauge theory does not necessarily commute with compactification. We compute the Witten index of each effective theory to check this observation. Furthermore, when the matter fields have the same non-minimal charges, the 3d ${cal N}=2$ Chern-Simons-matter theory with a proper Chern-Simons level will decompose into several identical 2d gauged linear sigma models (GLSMs) for the same target upon reduction to 2d. To illustrate this phenomenon, we investigate how vacua of the 3d gauge theory for a weighted projective space $Wmathbb{P}_{[l,cdots,l]}$ move on the field space when we change the radius of $S^{1}$.
74 - Masazumi Honda 2016
Continuing the work arXiv:1603.06207, we study perturbative series in general 3d $mathcal{N}=2$ supersymmetric Chern-Simons matter theory with $U(1)_R$ symmetry, which is given by a power series expansion of inverse Chern-Simons levels. We find that the perturbative series are usually non-Borel summable along positive real axis for various observables. Alternatively we prove that the perturbative series are always Borel summable along negative (positive) imaginary axis for positive (negative) Chern-Simons levels. It turns out that the Borel resummations along this direction are the same as exact results and therefore correct ways of resumming the perturbative series.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا