The Non-perturbative Canonical Quantization of the N=1 Supergravity

نویسنده

  • Takashi Sano
چکیده

The non-perturbative canonical quantization of the N=1 supergravity with the non-zero cosmological constant is studied using the Ashtekar formalism. A semi-classical wave function is obtained and it has the form of the exponential of the N=1 supersymmetric extension of the Chern-Simons functional. The N=1 supergravity in the Robertson-Walker universe is also examined and some analytic solutions are obtained. 1 [email protected] 2 [email protected]

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-closure of constraint algebra in N=1 supergravity

The algebra of constraints arising in the canonical quantization of N=1 supergravity in four dimensions is investigated. Using the holomophic action it is shown that the algebra does not close formally.

متن کامل

Supersymmetric Quantum Cosmology

The canonical quantization of N = 1 and N = 2 supergravity theories is reviewed in this report. A special emphasis is given to the topic of supersymmetric Bianchi class-A and FRW minisuperspaces, namely in the presence of supermatter fields. The quantization of the general theory (including supermatter) is also contemplated. The issue of quantum physical states is subsequently analysed. A discu...

متن کامل

Supersymmetric Spin Networks and Quantum Supergravity

We define supersymmetric spin networks, which provide a complete set of gauge invariant states for supergravity and supersymmetric gauge theories. The particular case of Osp(1/2) is studied in detail and applied to the non-perturbative quantization of supergravity. The supersymmetric extension of the area operator is defined and partly diagonalized. The spectrum is discrete as in quantum genera...

متن کامل

Supersymmetric Quantum Cosmology ∗ — Shaken not stirred

The canonical quantization of N = 1, 2 supergravity theories is reviewed throughout this report. Special emphasis is consigned to the topic of supersymmetric Bianchi class-A and FRW minisuperspaces, namely in the presence of supermatter fields. The quantization of the general theory (including supermatter) is also contemplated. The issue of quantum physical states is subsequently analysed. A di...

متن کامل

Supergravity Domain Walls

We review the status of domain walls in N = 1 supergravity theories for both the vacuum domain walls as well as dilatonic domain walls. We concentrate on a systematic analysis of the nature of the space–time in such domain wall backgrounds and the special rôle that supersymmetry is playing in determining the nature of such configurations. Isotropic vacuum domain walls that can exist between iso...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1993