Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 4226 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6802 | 0.8587 | 0.7921 | [M:[1.1435, 1.0949, 0.9294, 0.8565, 0.691, 1.0949, 0.7153, 0.8808], q:[0.7737, 0.3455], qb:[0.511, 0.5596], phi:[0.4525]] | [M:[[8], [-4], [10], [-8], [6], [-4], [12], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$ | ${}$ | -2 | t^2.073 + t^2.146 + t^2.569 + t^2.642 + t^2.788 + 2*t^3.285 + t^3.431 + t^4. + t^4.073 + t^4.146 + t^4.219 + t^4.292 + t^4.424 + t^4.569 + t^4.642 + 3*t^4.715 + t^4.788 + t^4.861 + t^4.934 + t^5.139 + t^5.212 + t^5.285 + 2*t^5.358 + 3*t^5.431 + 2*t^5.576 + t^5.854 + 2*t^5.927 - 2*t^6. + 3*t^6.073 + t^6.146 + 3*t^6.219 + t^6.292 + t^6.364 + t^6.437 + 3*t^6.569 + 2*t^6.715 + 3*t^6.788 + 4*t^6.861 + 2*t^6.934 + t^6.993 + t^7.007 + t^7.066 + t^7.08 + t^7.212 + 2*t^7.285 + 3*t^7.358 + 3*t^7.431 + 4*t^7.503 + 3*t^7.576 + t^7.649 + 2*t^7.708 + 2*t^7.722 + t^7.854 + 3*t^8. + t^8.146 + 4*t^8.219 + 2*t^8.292 + 4*t^8.364 + t^8.424 + t^8.437 + t^8.51 + t^8.583 - 2*t^8.642 + 5*t^8.715 - 3*t^8.788 + t^8.847 + 6*t^8.861 + 3*t^8.934 + t^8.993 - t^4.358/y - t^6.431/y - t^6.503/y - t^7./y + t^7.073/y - t^7.146/y + t^7.219/y + t^7.569/y + (3*t^7.715)/y + t^7.788/y + t^7.861/y + t^7.934/y + (2*t^8.212)/y + t^8.285/y + (3*t^8.358)/y + (3*t^8.431)/y - t^8.649/y + (2*t^8.854)/y + (2*t^8.927)/y - t^4.358*y - t^6.431*y - t^6.503*y - t^7.*y + t^7.073*y - t^7.146*y + t^7.219*y + t^7.569*y + 3*t^7.715*y + t^7.788*y + t^7.861*y + t^7.934*y + 2*t^8.212*y + t^8.285*y + 3*t^8.358*y + 3*t^8.431*y - t^8.649*y + 2*t^8.854*y + 2*t^8.927*y | g1^6*t^2.073 + g1^12*t^2.146 + t^2.569/g1^8 + t^2.642/g1^2 + g1^10*t^2.788 + (2*t^3.285)/g1^4 + g1^8*t^3.431 + t^4. + g1^6*t^4.073 + g1^12*t^4.146 + g1^18*t^4.219 + g1^24*t^4.292 + t^4.424/g1^20 + t^4.569/g1^8 + t^4.642/g1^2 + 3*g1^4*t^4.715 + g1^10*t^4.788 + g1^16*t^4.861 + g1^22*t^4.934 + t^5.139/g1^16 + t^5.212/g1^10 + t^5.285/g1^4 + 2*g1^2*t^5.358 + 3*g1^8*t^5.431 + 2*g1^20*t^5.576 + t^5.854/g1^12 + (2*t^5.927)/g1^6 - 2*t^6. + 3*g1^6*t^6.073 + g1^12*t^6.146 + 3*g1^18*t^6.219 + g1^24*t^6.292 + g1^30*t^6.364 + g1^36*t^6.437 + (3*t^6.569)/g1^8 + 2*g1^4*t^6.715 + 3*g1^10*t^6.788 + 4*g1^16*t^6.861 + 2*g1^22*t^6.934 + t^6.993/g1^28 + g1^28*t^7.007 + t^7.066/g1^22 + g1^34*t^7.08 + t^7.212/g1^10 + (2*t^7.285)/g1^4 + 3*g1^2*t^7.358 + 3*g1^8*t^7.431 + 4*g1^14*t^7.503 + 3*g1^20*t^7.576 + g1^26*t^7.649 + (2*t^7.708)/g1^24 + 2*g1^32*t^7.722 + t^7.854/g1^12 + 3*t^8. + g1^12*t^8.146 + 4*g1^18*t^8.219 + 2*g1^24*t^8.292 + 4*g1^30*t^8.364 + t^8.424/g1^20 + g1^36*t^8.437 + g1^42*t^8.51 + g1^48*t^8.583 - (2*t^8.642)/g1^2 + 5*g1^4*t^8.715 - 3*g1^10*t^8.788 + t^8.847/g1^40 + 6*g1^16*t^8.861 + 3*g1^22*t^8.934 + t^8.993/g1^28 - (g1^2*t^4.358)/y - (g1^8*t^6.431)/y - (g1^14*t^6.503)/y - t^7./y + (g1^6*t^7.073)/y - (g1^12*t^7.146)/y + (g1^18*t^7.219)/y + t^7.569/(g1^8*y) + (3*g1^4*t^7.715)/y + (g1^10*t^7.788)/y + (g1^16*t^7.861)/y + (g1^22*t^7.934)/y + (2*t^8.212)/(g1^10*y) + t^8.285/(g1^4*y) + (3*g1^2*t^8.358)/y + (3*g1^8*t^8.431)/y - (g1^26*t^8.649)/y + (2*t^8.854)/(g1^12*y) + (2*t^8.927)/(g1^6*y) - g1^2*t^4.358*y - g1^8*t^6.431*y - g1^14*t^6.503*y - t^7.*y + g1^6*t^7.073*y - g1^12*t^7.146*y + g1^18*t^7.219*y + (t^7.569*y)/g1^8 + 3*g1^4*t^7.715*y + g1^10*t^7.788*y + g1^16*t^7.861*y + g1^22*t^7.934*y + (2*t^8.212*y)/g1^10 + (t^8.285*y)/g1^4 + 3*g1^2*t^8.358*y + 3*g1^8*t^8.431*y - g1^26*t^8.649*y + (2*t^8.854*y)/g1^12 + (2*t^8.927*y)/g1^6 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 5712 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ + ${ }M_{7}M_{9}$ | 0.6601 | 0.8212 | 0.8039 | [M:[1.1528, 1.0902, 0.941, 0.8472, 0.698, 1.0902, 0.7293, 0.8785, 1.2707], q:[0.7726, 0.349], qb:[0.4982, 0.5608], phi:[0.4549]] | t^2.094 + t^2.541 + t^2.635 + t^2.823 + 2*t^3.271 + t^3.459 + t^3.812 + t^4. + t^4.094 + t^4.188 + t^4.354 + t^4.541 + t^4.635 + 2*t^4.729 + t^4.917 + t^5.083 + t^5.177 + t^5.271 + 2*t^5.365 + t^5.459 + t^5.646 + t^5.812 + 3*t^5.906 - 2*t^6. - t^4.365/y - t^4.365*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2224 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6695 | 0.8409 | 0.7962 | [M:[1.1395, 1.0969, 0.9244, 0.8605, 0.688, 1.0969, 0.7093], q:[0.7742, 0.344], qb:[0.5165, 0.5591], phi:[0.4515]] | t^2.064 + t^2.128 + t^2.581 + t^2.773 + 2*t^3.291 + t^3.355 + t^3.419 + t^4. + t^4.064 + t^4.128 + t^4.192 + t^4.256 + t^4.454 + t^4.581 + t^4.645 + 2*t^4.709 + t^4.837 + t^4.901 + t^5.163 + 2*t^5.355 + 3*t^5.419 + t^5.482 + 2*t^5.546 + t^5.872 + t^5.936 - 2*t^6. - t^4.355/y - t^4.355*y | detail |