gravity and matrix models. I. gravity
arXiv:hep-th/9312212 · doi:10.1142/S0217751X94001746
Abstract
Some approaches to gravity developed for the last years are reviewed. They are physical (Liouville) gravity, topological theories and matrix models. A special attention is paid to matrix models and their interrelations with different approaches. Almost all technical details are omitted, but examples are presented.
33 pages, FIAN/TD-24/93, UBC/S-95/93
Cited by in corpus (88)
- Nekrasov Functions and Exact Bohr-Sommerfeld Integrals
- Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
- HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations
- Conformal blocks as Dotsenko-Fateev Integral Discriminants
- Nekrasov Functions from Exact BS Periods: the Case of SU(N)
- Instantons and Merons in Matrix Models
- On KP-integrable Hurwitz functions
- Algebra of differential operators associated with Young diagrams
- Matrix models vs. Seiberg-Witten/Whitham theories
- Ding-Iohara-Miki symmetry of network matrix models
- The Power of Nekrasov Functions
- A direct proof of AGT conjecture at beta = 1
- Matrix model version of AGT conjecture and generalized Selberg integrals
- Explicit examples of DIM constraints for network matrix models
- BGWM as Second Constituent of Complex Matrix Model
- On the complete perturbative solution of one-matrix models
- The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
- Correlators in tensor models from character calculus
- Ward identities and combinatorics of rainbow tensor models
- Integrability of Hurwitz Partition Functions. I. Summary
- Unified description of correlators in non-Gaussian phases of Hermitean matrix model
- Towards a proof of AGT conjecture by methods of matrix models
- Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model
- Superintegrability summary
- Rainbow tensor model with enhanced symmetry and extreme melonic dominance
- On (q,t)-deformation of Gaussian matrix model
- Virasoro constraints for Kontsevich-Hurwitz partition function
- On genus expansion of knot polynomials and hidden structure of Hurwitz tau-functions
- Can Renormalization Group Flow End in a Big Mess?
- Colored knot polynomials. HOMFLY in representation [2,1]
- Superintegrability of Kontsevich matrix model
- Sum rules for characters from character-preservation property of matrix models
- Cut and join operator ring in Aristotelian tensor model
- Interpolating Matrix Models for WLZZ series
- New Insights into Superintegrability from Unitary Matrix Models
- On determinant representation and integrability of Nekrasov functions
- From Kronecker to tableau pseudo-characters in tensor models
- Non-Abelian W-representation for GKM
- Matrix model partition function by a single constraint
- Around spin Hurwitz numbers
- Hopf link invariants and integrable hierarchies
- Complete solution to Gaussian tensor model and its integrable properties
- On -representations of - and -deformed matrix models
- On Renormalization Group in Abstract QFT
- -deformed (skew) Hurwitz -functions
- Superintegrability as the hidden origin of Nekrasov calculus
- An analogue of Schur functions for the plane partitions
- p,q-Duality and Hamiltonian Flows in the Space of Integrable Systems or Integrable Systems as Canonical Transforms of the Free Ones
- Cauchy formula and the character ring
- Generalized Q-functions for GKM
- Comment on integrability in Dijkgraaf-Vafa beta-ensembles
- Spectral curves and -representations of matrix models
- On Equivalence of two Hurwitz Matrix Models
- Challenges of beta-deformation
- Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
- q-Painleve equation from Virasoro constraints
- Two -ensemble realization of -deformed WLZZ models
- Superintegrability of matrix Student's distribution
- Virasoro versus superintegrability. Gaussian Hermitian model
- Fermionic Quantum Gravity
- Check-Operators and Quantum Spectral Curves
- Elliptic matrix models
- New matrix model solutions to the Kac-Schwarz problem
- On skew tau-functions in higher spin theory
- Cut-and-join operators and Macdonald polynomials from the 3-Schur functions
- Deviation from Alday-Maldacena Duality For Wavy Circle
- Natanzon-Orlov model and refined superintegrability
- Towards elliptic deformation of -matrix models
- and algebras, and Ward identities
- Deformation of superintegrability in the Miwa-deformed Gaussian matrix model
- Algebra of quantum -polynomials
- On character expansion and Gaussian regularization of Itzykson-Zuber measure
- Superintegrability and Kontsevich-Hermitian relation
- Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models
- The "Null-A" superintegrability for monomial matrix models
- Linearized Lorentz-Violating Gravity and Discriminant Locus in the Moduli Space of Mass Terms
- Averaging method in combinatorics of symmetric polynomials
- Tunnels Under Geometries (or Instantons Know Their Algebras)
- Integrability and Symmetry Algebra Associated with N=2 KP Flows
- Genus expansion of matrix models and expansion of KP hierarchy
- CMM formula as superintegrability property of unitary model
- Twisted Cherednik spectrum as a -deformation
- Are Maxwell knots integrable?
- Equating Schur Functions
- Itzykson-Zuber correlators from character expansion
- A new kind of anomaly: on W-constraints for GKM
- AGT correspondence, (q-)Painlevè equations and matrix models
- Integrability and Matrix Models