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 |
|---|---|---|---|---|---|---|---|---|---|
| 225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ | 0.644 | 0.812 | 0.7931 | [M:[0.8115, 1.1885, 0.8115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.435 + 2*t^2.533 + t^3. + 2*t^3.467 + 3*t^3.935 + 2*t^4.033 + t^4.131 + 3*t^4.869 + 4*t^4.967 + 3*t^5.065 + 2*t^5.435 + 2*t^5.533 + 2*t^5.902 - t^6. - 2*t^6.098 + 6*t^6.369 + 8*t^6.467 + 4*t^6.565 + 2*t^6.664 + 2*t^6.935 - 2*t^7.033 + 4*t^7.304 + 8*t^7.402 + 2*t^7.5 + 2*t^7.598 + 8*t^7.869 + 6*t^7.967 + 5*t^8.065 + 2*t^8.164 + t^8.262 + 2*t^8.336 - 6*t^8.435 - 8*t^8.533 - 4*t^8.631 + 9*t^8.804 + 12*t^8.902 - t^4.5/y - t^6.935/y + t^7.869/y + (4*t^7.967)/y + (2*t^8.065)/y + (2*t^8.435)/y + (2*t^8.533)/y + (4*t^8.902)/y - t^4.5*y - t^6.935*y + t^7.869*y + 4*t^7.967*y + 2*t^8.065*y + 2*t^8.435*y + 2*t^8.533*y + 4*t^8.902*y | 2*g1*g2*t^2.435 + t^2.533/g1 + t^2.533/g2 + t^3. + g1*t^3.467 + g2*t^3.467 + g1^2*t^3.935 + g1*g2*t^3.935 + g2^2*t^3.935 + t^4.033/g1 + t^4.033/g2 + t^4.131/(g1^2*g2^2) + 3*g1^2*g2^2*t^4.869 + 2*g1*t^4.967 + 2*g2*t^4.967 + t^5.065/g1^2 + t^5.065/g2^2 + t^5.065/(g1*g2) + 2*g1*g2*t^5.435 + t^5.533/g1 + t^5.533/g2 + g1^2*g2*t^5.902 + g1*g2^2*t^5.902 - t^6. - t^6.098/(g1*g2^2) - t^6.098/(g1^2*g2) + 2*g1^3*g2*t^6.369 + 2*g1^2*g2^2*t^6.369 + 2*g1*g2^3*t^6.369 + 3*g1*t^6.467 + (g1^2*t^6.467)/g2 + 3*g2*t^6.467 + (g2^2*t^6.467)/g1 + t^6.565/g1^2 + t^6.565/g2^2 + (2*t^6.565)/(g1*g2) + t^6.664/(g1^2*g2^3) + t^6.664/(g1^3*g2^2) + g1^2*t^6.935 + g2^2*t^6.935 - t^7.033/g1 - t^7.033/g2 + 4*g1^3*g2^3*t^7.304 + g1^3*t^7.402 + 3*g1^2*g2*t^7.402 + 3*g1*g2^2*t^7.402 + g2^3*t^7.402 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + t^7.598/g1^3 + t^7.598/g2^3 + g1^4*t^7.869 + g1^3*g2*t^7.869 + 4*g1^2*g2^2*t^7.869 + g1*g2^3*t^7.869 + g2^4*t^7.869 + 2*g1*t^7.967 + (g1^2*t^7.967)/g2 + 2*g2*t^7.967 + (g2^2*t^7.967)/g1 + (2*t^8.065)/g1^2 + (2*t^8.065)/g2^2 + t^8.065/(g1*g2) + t^8.164/(g1^2*g2^3) + t^8.164/(g1^3*g2^2) + t^8.262/(g1^4*g2^4) + g1^3*g2^2*t^8.336 + g1^2*g2^3*t^8.336 - g1^2*t^8.435 - 4*g1*g2*t^8.435 - g2^2*t^8.435 - (4*t^8.533)/g1 - (4*t^8.533)/g2 - t^8.631/(g1*g2^3) - (2*t^8.631)/(g1^2*g2^2) - t^8.631/(g1^3*g2) + 3*g1^4*g2^2*t^8.804 + 3*g1^3*g2^3*t^8.804 + 3*g1^2*g2^4*t^8.804 + 2*g1^3*t^8.902 + 4*g1^2*g2*t^8.902 + 4*g1*g2^2*t^8.902 + 2*g2^3*t^8.902 - t^4.5/y - (g1*g2*t^6.935)/y + (g1^2*g2^2*t^7.869)/y + (2*g1*t^7.967)/y + (2*g2*t^7.967)/y + (2*t^8.065)/(g1*g2*y) + (2*g1*g2*t^8.435)/y + t^8.533/(g1*y) + t^8.533/(g2*y) + (2*g1^2*g2*t^8.902)/y + (2*g1*g2^2*t^8.902)/y - t^4.5*y - g1*g2*t^6.935*y + g1^2*g2^2*t^7.869*y + 2*g1*t^7.967*y + 2*g2*t^7.967*y + (2*t^8.065*y)/(g1*g2) + 2*g1*g2*t^8.435*y + (t^8.533*y)/g1 + (t^8.533*y)/g2 + 2*g1^2*g2*t^8.902*y + 2*g1*g2^2*t^8.902*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 359 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6647 | 0.8522 | 0.78 | [M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 358 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6648 | 0.8527 | 0.7796 | [M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.038 + 2*t^2.441 + t^2.519 + t^2.54 + t^3. + t^3.46 + t^3.481 + t^3.92 + t^3.941 + t^4.019 + t^4.04 + t^4.076 + t^4.118 + 2*t^4.479 + t^4.557 + t^4.578 + 3*t^4.882 + 2*t^4.96 + 2*t^4.981 + 2*t^5.038 + t^5.059 + t^5.08 + 2*t^5.441 + t^5.498 + 2*t^5.519 + t^5.54 + t^5.901 + t^5.922 + t^5.958 + t^5.979 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 1741 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6583 | 0.8368 | 0.7867 | [M:[0.8221, 1.1779, 0.8221, 0.8221], q:[0.75, 0.4279], qb:[0.4279, 0.3942], phi:[0.5]] | 4*t^2.466 + t^2.567 + t^3. + t^3.433 + t^3.865 + 2*t^3.966 + 3*t^4.067 + 10*t^4.933 + 4*t^5.034 + t^5.135 + 4*t^5.466 + t^5.567 + 2*t^5.899 - 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 360 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6314 | 0.7921 | 0.7972 | [M:[0.7994, 1.2006, 0.7994, 1.1301], q:[0.75, 0.4506], qb:[0.4193, 0.3801], phi:[0.5]] | 2*t^2.398 + t^2.492 + t^3. + 2*t^3.39 + t^3.508 + t^3.78 + t^3.898 + t^3.992 + t^4.016 + t^4.11 + t^4.204 + 3*t^4.796 + 2*t^4.89 + t^4.984 + 2*t^5.398 + t^5.492 + 3*t^5.788 + t^5.882 + t^5.906 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 134 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.694 | 0.8411 | 0.8251 | [M:[0.6741, 0.9479, 1.0521], q:[0.7973, 0.5287], qb:[0.5261, 0.5261], phi:[0.4055]] | t^2.022 + t^2.433 + t^3.156 + 2*t^3.164 + 2*t^3.97 + t^4.045 + 3*t^4.373 + 2*t^4.381 + t^4.388 + t^4.455 + t^4.866 + t^5.179 + 2*t^5.186 + t^5.589 + 2*t^5.597 - 5*t^6. - t^4.216/y - t^4.216*y | detail |