scholarly journals The large-N partition function for non-parity-invariant Chern-Simons-matter theories

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
James T. Liu ◽  
Xiuyuan Zhang
Keyword(s):  
Partition Function ◽  
Airy Function ◽  
Fermi Gas ◽  
Large N ◽  
Chern Simons

Abstract We extend the Fermi gas approach to a class of ABJM-like necklace quiver theories without parity invariance. The resulting partition function on S3 retains the form of an Airy function, but now includes a phase that scales as Nk in the large-N limit where k is an overall Chern-Simons level. We demonstrate the presence of this phase both analytically and numerically in the case of a three node quiver.

scholarly journals Subleading corrections to the S3 free energy of necklace quiver theories dual to massive IIA

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Junho Hong ◽  
James T. Liu
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Gauge Theories ◽  
Fermi Gas ◽  
Tree Level ◽  
Saddle Point Approximation ◽  
Higher Derivative ◽  
The Matrix ◽  
Hooft Limit ◽  
Chern Simons

Abstract We investigate the S3 free energy of $$ \mathcal{N} $$ N = 3 Chern-Simons-matter quiver gauge theories with gauge group U(N)r (r ≥ 2) where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-N limit. We take two different approaches to explore the sub-leading structures of the free energy. First we evaluate the matrix integral for the partition function in the ’t Hooft limit using a saddle point approximation. Second we use an ideal Fermi-gas model to compute the same partition function, but in the limit of fixed Chern-Simons levels. The resulting expressions for the free energy F = − log Z are then compared in the overlapping parameter regime. The Fermi-gas approach also hints at a universal $$ \frac{1}{6} $$ 1 6 log N correction to the free energy. Since the quiver gauge theories we consider are dual to massive Type IIA theory, we expect the sub-leading correction of the planar free energy in the large ’t Hooft parameter limit to match higher-derivative corrections to the tree-level holographic dual free energy, which have not yet been fully investigated.

scholarly journals Fermi gas approach to general rank theories and quantum curves

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Naotaka Kubo
Keyword(s):  
Matrix Models ◽  
Critical Role ◽  
Three Dimensional ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Partition Functions ◽  
Density Matrices ◽  
General Rank ◽  
Chern Simons ◽  
The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

scholarly journals Large N Chern-Simons with massive fundamental fermions — A model with no bound states

2014 ◽  
Vol 2014 (12) ◽  
Author(s):  
Yitzhak Frishman ◽  
Jacob Sonnenschein
Keyword(s):  
Bound States ◽  
Large N ◽  
Chern Simons

scholarly journals BOSE–FERMI EQUIVALENCE IN THREE-DIMENSIONAL NONCOMMUTATIVE SPACETIME

2008 ◽  
Vol 23 (35) ◽  
pp. 3015-3022
Author(s):  
K. M. AJITH ◽  
E. HARIKUMAR ◽  
M. SIVAKUMAR
Keyword(s):  
Partition Function ◽  
Gauge Field ◽  
Three Dimensional ◽  
Coupling Constant ◽  
Spin Factor ◽  
Noncommutative Spacetime ◽  
Chern Simons

We study the fermionisation of Seiberg–Witten mapped action (to order θ) of the λϕ4 theory coupled minimally with U(1) gauge field governed by Chern–Simons action. Starting from the corresponding partition function we derive nonperturbatively (in coupling constant) the partition function of the spin-1/2 theory following Polyakov spin factor formalism. We find that the dual interacting fermionic theory is nonlocal. This feature also persists in the limit of vanishing self-coupling. In θ → 0 limit, the commutative result is obtained.

scholarly journals A novel large-N reduction on : Demonstration in Chern–Simons theory

2010 ◽  
Vol 834 (3) ◽  
pp. 423-452 ◽  
Author(s):  
Goro Ishiki ◽  
Shinji Shimasaki ◽  
Asato Tsuchiya
Keyword(s):  
Simons Theory ◽  
Large N ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Scattering amplitudes in N$$ \mathcal{N} $$ = 3 supersymmetric SU(N) Chern-Simons-matter theory at large N

2020 ◽  
Vol 2020 (4) ◽  
Author(s):  
Karthik Inbasekar ◽  
Lavneet Janagal ◽  
Ashish Shukla
Keyword(s):  
Scattering Amplitudes ◽  
Large N ◽  
Matter Theory ◽  
Chern Simons

scholarly journals Dual superconformal symmetry of $$ \mathcal{N} $$ = 2 Chern-Simons theory with fundamental matter at large N

2019 ◽  
Vol 2019 (6) ◽  
Author(s):  
Karthik Inbasekar ◽  
Sachin Jain ◽  
Sucheta Majumdar ◽  
Pranjal Nayak ◽  
Turmoli Neogi ◽  
...  
Keyword(s):  
Simons Theory ◽  
Superconformal Symmetry ◽  
Large N ◽  
Fundamental Matter ◽  
Chern Simons ◽  
Chern Simons Theory

Chern–Simons gauge theory and symplectic quantum mechanics

2015 ◽  
Vol 93 (9) ◽  
pp. 971-973
Author(s):  
Lisa Jeffrey
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theory ◽  
Partition Function ◽  
Partition Functions ◽  
Action Functional ◽  
Symplectic Action ◽  
Chern Simons

We describe the relation between the Chern–Simons gauge theory partition function and the partition function defined using the symplectic action functional as the Lagrangian. We show that the partition functions obtained using these two Lagrangians agree, and we identify the semiclassical formula for the partition function defined using the symplectic action functional. We also compute the semiclassical formulas for the partition functions obtained using the two different Lagrangians: the Chern–Simons functional and the symplectic action functional.

scholarly journals MULTIPLE Dp-BRANES AS A Dp+2-BRANE

2011 ◽  
Vol 26 (06) ◽  
pp. 1045-1055
Author(s):  
M. A. GANJALI ◽  
M. ALI-AKBARI
Keyword(s):  
Matrix Theory ◽  
Large N ◽  
Chern Simons ◽  
Working Out ◽  
Brane Action

From BFSS matrix theory considerations, it is expected that a single D p+2-brane action can be obtained from N D p-brane action in large N limit. We examine and confirm this expectation by working out the details of DBI and Chern–Simons terms of D p+2-brane action from D p-brane action. We show that the same relation works for non-BPS, as well as BPS branes.

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