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 |
|---|---|---|---|---|---|---|---|---|---|
| 57683 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9587 | 1.1535 | 0.8311 | [X:[1.6173, 1.4795, 1.5205, 1.3827], M:[0.8827], q:[0.1598, 0.2976], qb:[0.2228, 0.3197], phi:[0.5]] | [X:[[0, -1], [-3, 0], [3, 0], [0, 1]], M:[[0, 1]], q:[[-1, 0], [2, -1]], qb:[[1, 1], [-2, 0]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.65 + t^2.94 + t^3. + t^3.06 + t^3.35 + t^3.77 + t^3.8 + t^4.09 + 2*t^4.15 + 2*t^4.44 + t^4.5 + 2*t^4.56 + 3*t^4.85 + t^5.27 + 4*t^5.3 + 2*t^5.59 + t^5.65 + t^5.71 + t^5.88 + t^5.94 - t^6. + t^6.12 + 2*t^6.44 + t^6.51 + t^6.73 + t^6.77 + 5*t^6.8 + t^6.83 + t^6.86 + t^7.03 + 6*t^7.09 + t^7.12 + 2*t^7.15 + t^7.18 + 5*t^7.21 + 3*t^7.38 + t^7.44 + 7*t^7.5 + t^7.53 + 2*t^7.56 + t^7.59 + 2*t^7.62 + 2*t^7.79 + t^7.85 + t^7.88 + 4*t^7.91 + 6*t^7.94 - t^8.01 + t^8.17 + 2*t^8.2 + 4*t^8.23 + 4*t^8.3 + t^8.33 + 2*t^8.36 + 2*t^8.53 + 3*t^8.59 + 2*t^8.62 - 4*t^8.65 - t^8.68 + t^8.71 + t^8.77 + t^8.82 + 3*t^8.88 - 4*t^8.94 - t^4.5/y - t^6./y - t^7.15/y + t^7.5/y + t^7.85/y + t^8.3/y + (2*t^8.59)/y - t^8.65/y + (2*t^8.71)/y - t^8.94/y - t^4.5*y - t^6.*y - t^7.15*y + t^7.5*y + t^7.85*y + t^8.3*y + 2*t^8.59*y - t^8.65*y + 2*t^8.71*y - t^8.94*y | 2*g2*t^2.65 + t^2.94/g1^3 + t^3. + g1^3*t^3.06 + t^3.35/g2 + (g1^3*t^3.77)/g2^2 + g2^2*t^3.8 + (g2*t^4.09)/g1^3 + 2*g2*t^4.15 + (2*t^4.44)/g1^3 + t^4.5 + 2*g1^3*t^4.56 + (3*t^4.85)/g2 + (g1^3*t^5.27)/g2^2 + 4*g2^2*t^5.3 + (2*g2*t^5.59)/g1^3 + g2*t^5.65 + g1^3*g2*t^5.71 + t^5.88/g1^6 + t^5.94/g1^3 - t^6. + g1^6*t^6.12 + 2*g2^3*t^6.44 + g1^3*g2^3*t^6.51 + (g2^2*t^6.73)/g1^3 + (g1^3*t^6.77)/g2^2 + 5*g2^2*t^6.8 + (g1^6*t^6.83)/g2^2 + g1^3*g2^2*t^6.86 + (g2*t^7.03)/g1^6 + (6*g2*t^7.09)/g1^3 + (g1^3*t^7.12)/g2^3 + 2*g2*t^7.15 + (g1^6*t^7.18)/g2^3 + 5*g1^3*g2*t^7.21 + (3*t^7.38)/g1^6 + t^7.44/g1^3 + 7*t^7.5 + (g1^6*t^7.53)/g2^4 + 2*g1^3*t^7.56 + g2^4*t^7.59 + 2*g1^6*t^7.62 + (2*t^7.79)/(g1^3*g2) + t^7.85/g2 + (g2^3*t^7.88)/g1^3 + (4*g1^3*t^7.91)/g2 + 6*g2^3*t^7.94 - g1^3*g2^3*t^8.01 + (g2^2*t^8.17)/g1^6 + (2*t^8.2)/g2^2 + (4*g2^2*t^8.23)/g1^3 + 4*g2^2*t^8.3 + (g1^6*t^8.33)/g2^2 + 2*g1^3*g2^2*t^8.36 + (2*g2*t^8.53)/g1^6 + (3*g2*t^8.59)/g1^3 + (2*g1^3*t^8.62)/g2^3 - 4*g2*t^8.65 - (g1^6*t^8.68)/g2^3 + g1^3*g2*t^8.71 + g1^6*g2*t^8.77 + t^8.82/g1^9 + (3*t^8.88)/g1^6 - (4*t^8.94)/g1^3 - t^4.5/y - t^6./y - (g2*t^7.15)/y + t^7.5/y + t^7.85/(g2*y) + (g2^2*t^8.3)/y + (2*g2*t^8.59)/(g1^3*y) - (g2*t^8.65)/y + (2*g1^3*g2*t^8.71)/y - t^8.94/(g1^3*y) - t^4.5*y - t^6.*y - g2*t^7.15*y + t^7.5*y + (t^7.85*y)/g2 + g2^2*t^8.3*y + (2*g2*t^8.59*y)/g1^3 - g2*t^8.65*y + 2*g1^3*g2*t^8.71*y - (t^8.94*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60479 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9588 | 1.1556 | 0.8297 | [X:[1.625, 1.5232, 1.4768, 1.375], M:[0.875, 0.9768], q:[0.1744, 0.2762], qb:[0.2006, 0.3488], phi:[0.5]] | 2*t^2.63 + 2*t^2.93 + t^3. + t^3.37 + t^3.68 + t^3.75 + 2*t^4.13 + t^4.19 + 2*t^4.43 + t^4.5 + 2*t^4.57 + 3*t^4.87 + t^5.18 + 4*t^5.25 + 3*t^5.56 + t^5.63 + 3*t^5.86 + t^5.93 - 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 59454 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9698 | 1.1738 | 0.8263 | [X:[1.6315, 1.4858, 1.5142, 1.3685], M:[0.8685, 0.8685], q:[0.1619, 0.3077], qb:[0.2065, 0.3239], phi:[0.5]] | 3*t^2.61 + t^2.96 + t^3. + t^3.04 + t^3.71 + t^3.83 + t^4.06 + 2*t^4.11 + 2*t^4.46 + t^4.5 + 2*t^4.54 + 3*t^4.89 + 7*t^5.21 + t^5.33 + 3*t^5.56 + 2*t^5.61 + 2*t^5.65 + t^5.91 + t^5.96 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | |
| 59418 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.953 | 1.1458 | 0.8317 | [X:[1.585, 1.415, 1.585, 1.415], M:[0.915], q:[0.1383, 0.3084], qb:[0.2766, 0.2766], phi:[0.5]] | 3*t^2.74 + t^3. + 2*t^3.26 + t^3.77 + 2*t^3.99 + 4*t^4.24 + t^4.5 + 5*t^4.76 + t^5.27 + 7*t^5.49 + 2*t^5.74 - t^4.5/y - t^6./y - t^4.5*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47941 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ | 0.9864 | 1.191 | 0.8281 | [X:[1.4928, 1.5072, 1.4928, 1.5072], M:[0.725], q:[0.2631, 0.2487], qb:[0.2441, 0.2441], phi:[0.5]] | t^2.175 + 2*t^2.978 + t^3. + 2*t^3.022 + 2*t^3.697 + t^3.782 + t^4.35 + 4*t^4.478 + t^4.5 + 4*t^4.522 + 2*t^5.153 + t^5.175 + 4*t^5.197 + t^5.282 + t^5.325 + 2*t^5.872 + 3*t^5.957 - 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |