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 |
|---|---|---|---|---|---|---|---|---|---|
| 47884 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | [X:[[0, 0, 2]], M:[[0, 0, -4]], q:[[-1, 0, 4], [0, -1, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{1}$ | -2 | t^2.644 + 3*t^3.356 + t^3.526 + 5*t^4.237 + t^5.119 + t^5.288 + 2*t^5.474 - 2*t^6. + t^6.17 + 6*t^6.356 + 6*t^6.712 + t^6.881 + t^7.051 + 14*t^7.593 + 3*t^7.763 + t^7.933 - 6*t^8.119 + 14*t^8.474 + t^8.644 + t^8.814 + 6*t^8.83 + t^8.644/y^2 - t^3.881/y - t^4.763/y - t^6.526/y - (2*t^7.237)/y - (2*t^7.407)/y - (4*t^8.119)/y - t^8.288/y - t^3.881*y - t^4.763*y - t^6.526*y - 2*t^7.237*y - 2*t^7.407*y - 4*t^8.119*y - t^8.288*y + t^8.644*y^2 | t^2.644/g3^3 + (g1*g3^2*t^3.356)/g2 + g3^3*t^3.356 + (g2*g3^4*t^3.356)/g1 + t^3.526/g3^4 + (g1*g3*t^4.237)/g2 + 3*g3^2*t^4.237 + (g2*g3^3*t^4.237)/g1 + g3*t^5.119 + t^5.288/g3^6 + (g1^2*g2*t^5.474)/g3 + (g3^9*t^5.474)/(g1^2*g2) - 2*t^6. + t^6.17/g3^7 + (g1^3*t^6.356)/g3^3 + (g1^2*g2*t^6.356)/g3^2 + (g1*g2^2*t^6.356)/g3 + (g3^7*t^6.356)/(g1*g2^2) + (g3^8*t^6.356)/(g1^2*g2) + (g3^9*t^6.356)/g1^3 + (g1^2*g3^4*t^6.712)/g2^2 + (g1*g3^5*t^6.712)/g2 + 2*g3^6*t^6.712 + (g2*g3^7*t^6.712)/g1 + (g2^2*g3^8*t^6.712)/g1^2 + t^6.881/g3 + t^7.051/g3^8 + (g1^2*g3^3*t^7.593)/g2^2 + (4*g1*g3^4*t^7.593)/g2 + 4*g3^5*t^7.593 + (4*g2*g3^6*t^7.593)/g1 + (g2^2*g3^7*t^7.593)/g1^2 + (3*t^7.763)/g3^2 + t^7.933/g3^9 - (g1^3*t^8.119)/g3^5 - (g1^2*g2*t^8.119)/g3^4 - (g1*g2^2*t^8.119)/g3^3 - (g3^5*t^8.119)/(g1*g2^2) - (g3^6*t^8.119)/(g1^2*g2) - (g3^7*t^8.119)/g1^3 + (g1^2*g3^2*t^8.474)/g2^2 + (3*g1*g3^3*t^8.474)/g2 + 6*g3^4*t^8.474 + (3*g2*g3^5*t^8.474)/g1 + (g2^2*g3^6*t^8.474)/g1^2 + t^8.644/g3^3 + t^8.814/g3^10 + g1^3*g3*t^8.83 + g1^2*g2*g3^2*t^8.83 + g1*g2^2*g3^3*t^8.83 + (g3^11*t^8.83)/(g1*g2^2) + (g3^12*t^8.83)/(g1^2*g2) + (g3^13*t^8.83)/g1^3 + t^8.644/(g3^3*y^2) - t^3.881/(g3*y) - t^4.763/(g3^2*y) - t^6.526/(g3^4*y) - (g1*g3*t^7.237)/(g2*y) - (g2*g3^3*t^7.237)/(g1*y) - (2*t^7.407)/(g3^5*y) - (g1*t^8.119)/(g2*y) - (2*g3*t^8.119)/y - (g2*g3^2*t^8.119)/(g1*y) - t^8.288/(g3^6*y) - (t^3.881*y)/g3 - (t^4.763*y)/g3^2 - (t^6.526*y)/g3^4 - (g1*g3*t^7.237*y)/g2 - (g2*g3^3*t^7.237*y)/g1 - (2*t^7.407*y)/g3^5 - (g1*t^8.119*y)/g2 - 2*g3*t^8.119*y - (g2*g3^2*t^8.119*y)/g1 - (t^8.288*y)/g3^6 + (t^8.644*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57289 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3256 | 1.4774 | 0.8972 | [X:[1.4283], M:[1.1433, 0.8575], q:[0.4283, 0.7142], qb:[0.4283, 0.7142], phi:[0.2858]] | 2*t^2.573 + 2*t^3.427 + t^3.43 + 5*t^4.285 + t^5.142 + 3*t^5.145 + 2*t^5.57 - t^6. - t^3.858/y - t^4.715/y - t^3.858*y - t^4.715*y | detail | |
| 57288 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.327 | 1.4812 | 0.8959 | [X:[1.4268], M:[1.1464, 0.8247], q:[0.4151, 0.7368], qb:[0.4385, 0.69], phi:[0.2866]] | t^2.474 + t^2.579 + t^3.315 + t^3.421 + t^3.439 + t^4.175 + 3*t^4.28 + t^4.386 + t^4.948 + t^5.054 + t^5.14 + t^5.159 + 2*t^5.561 + t^5.79 + t^5.895 + t^5.914 - 2*t^6. - t^3.86/y - t^4.72/y - t^3.86*y - t^4.72*y | detail | |
| 57283 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.0912 | 1.2034 | 0.9068 | [X:[1.5512], M:[0.8976], q:[0.4016, 1.0748], qb:[0.7008, 0.4764], phi:[0.2244]] | t^2.02 + t^2.634 + t^2.693 + t^3.307 + t^3.98 + t^4.039 + 3*t^4.654 + t^4.712 + t^5.268 + 2*t^5.327 + t^5.385 + 2*t^5.634 + t^5.941 - t^6. - t^3.673/y - t^4.346/y - t^5.693/y - t^3.673*y - t^4.346*y - t^5.693*y | detail | |
| 57287 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3045 | 1.4437 | 0.9036 | [X:[1.4433], M:[1.1133], q:[0.4056, 0.6839], qb:[0.4811, 0.7594], phi:[0.2783]] | t^2.505 + t^3.34 + 3*t^3.495 + 5*t^4.33 + t^5.01 + t^5.165 + t^5.32 + t^5.845 - t^6. - t^3.835/y - t^4.67/y - t^3.835*y - t^4.67*y | detail | |
| 57279 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9308 | 0.9942 | 0.9362 | [X:[1.6337, 1.4506], M:[0.7326], q:[0.4506, 1.1831], qb:[0.8169, 0.4506], phi:[0.1831]] | t^2.198 + t^2.703 + t^3.253 + t^4.352 + t^4.396 + 2*t^4.901 + t^5.407 + t^5.451 + 2*t^5.703 + t^5.956 - 2*t^6. - t^3.549/y - t^4.099/y - t^5.747/y - t^3.549*y - t^4.099*y - t^5.747*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47868 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6423 | 0.8861 | [X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]] | t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |