## 10 Citations

### Supersymmetric Quantum Mechanics and Topology

- Physics
- 2016

Supersymmetric quantum mechanical models are computed by the path integral approach. In the limit, the integrals localize to the zero modes. This allows us to perform the index computations exactly…

### Geometric description of Schrödinger equation in Finsler and Funk geometry

- MathematicsInternational Journal of Geometric Methods in Modern Physics
- 2019

For a system of [Formula: see text] non-relativistic spinless bosons, we show by using a set of suitable matching conditions that the quantum equations in the pilot-wave limit can be translated into…

### TOPOLOGICAL STRING, SUPERSYMMETRIC GAUGE THEORY AND BPS COUNTING

- Mathematics
- 2012

OF THE DISSERTATION Topological String, Supersymmetric Gauge Theory and BPS Counting by Guang Pan Dissertation Director: Professor Duiliu-Emanuel Diaconescu In this thesis we study the…

### Much ado about nothing : the superconformal index and Hilbert series of three dimensional N =4 vacua

- Mathematics
- 2019

We study a quantum mechanical σ -model whose target space is a hyperKähler cone. As shown by Singleton, [184], such a theory has superconformal invariance under the algebra osp(4∗|4). One can…

### From loop space mechanics to nonabelian strings

- Mathematics, Physics
- 2005

Lifting supersymmetric quantum mechanics to loop space yields the superstring. A particle charged under a fiber bundle thereby turns into a string charged under a 2-bundle, or gerbe. This…

### Two particle entanglement and its geometric duals

- Mathematics, Physics
- 2017

We show that for a system of two entangled particles, there is a dual description to the particle equations in terms of classical theory of conformally stretched spacetime. We also connect these…

### Two particle entanglement and its geometric duals

- Mathematics, PhysicsThe European Physical Journal C
- 2017

We show that for a system of two entangled particles, there is a dual description to the particle equations in terms of classical theory of conformally stretched spacetime. We also connect these…

### Spontaneous CP breaking in QCD and the axion potential: an effective Lagrangian approach

- Physics
- 2017

A bstractUsing the well-known low-energy effective Lagrangian of QCD — valid for small (non-vanishing) quark masses and a large number of colors — we study in detail the regions of parameter space…

### M-Strings

- Mathematics
- 2013

M2 branes suspended between adjacent parallel M5 branes lead to light strings, the ‘M-strings’. In this paper we compute the elliptic genus of M-strings, twisted by maximally allowed symmetries that…

### On deformations of 2d SCFTs

- Mathematics
- 2004

Motivated by the representation of the super Virasoro constraints as generalized Dirac-Kahler constraints (d±d†)|ψ = 0 on loop space, examples of the most general continuous deformations d →e −Wde W…

## References

SHOWING 1-10 OF 31 REFERENCES

### A path integral derivation of χy-genus

- Mathematics
- 2003

The formula for the Hirzebruch χy-genus of complex manifolds is a consequence of the Hirzebruch–Riemann–Roch formula. The classical index formulae for Todd genus, Euler number and signature…

### General low-energy dynamics of supersymmetric monopoles

- Physics
- 2001

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric…

### A Geometric Interpretation of the χy Genus¶on Hyper-Kähler Manifolds

- Mathematics
- 1999

Abstract:
The group SL(2) acts on the space of cohomology groups of any hyper-Kähler manifold X. The χy genus of a hyper-Kähler X is shown to have a geometric interpretation as the super trace of an…

### Supersymmetry and the Atiyah-Singer index theorem

- Physics, Mathematics
- 1983

Using a recently introduced index for supersymmetric theories, we present a simple derivation of the Atiyah-Singer index theorem for classical complexes and itsG-index generalization using elementary…

### On the Generalized Casson Invariant

- Mathematics
- 1998

The path integral generalization of the Casson invariant as developed by Rozansky and Witten is investigated. The path integral for various three manifolds is explicitly evaluated. A new class of…

### A Note on the Atiyah-singer Index Theorem

- Mathematics
- 1983

A new proof of the Atiyah-Singer index theorem for the Dirac equation in the presence of external gauge and gravitational field is presented.