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 |
|---|---|---|---|---|---|---|---|---|---|
| 3400 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6702 | 0.8472 | 0.7911 | [X:[1.307], M:[0.7557, 0.7831, 0.693, 0.8459, 1.1541, 0.7067, 0.8459], q:[0.8527, 0.3916], qb:[0.4543, 0.7626], phi:[0.3847]] | [X:[[0, 7]], M:[[2, 2], [-2, -6], [0, -7], [0, 3], [0, -3], [-2, -11], [0, 3]], q:[[-1, 1], [-1, -3]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -2 | t^2.12 + t^2.267 + t^2.308 + t^2.349 + 2*t^2.538 + t^3.504 + t^3.692 + t^3.921 + t^4.24 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + t^4.575 + 2*t^4.617 + 3*t^4.658 + t^4.699 + 2*t^4.805 + 3*t^4.846 + 2*t^4.887 + 3*t^5.075 + t^5.624 + t^5.812 + t^5.853 - 2*t^6. + 3*t^6.041 + 2*t^6.229 + t^6.27 + t^6.36 + 2*t^6.459 + t^6.507 + t^6.548 + t^6.59 + t^6.654 + t^6.696 + 2*t^6.737 + 3*t^6.778 + t^6.802 + t^6.819 + t^6.843 + 2*t^6.884 + 3*t^6.925 + 4*t^6.966 + 4*t^7.007 + t^7.048 + 2*t^7.072 + 2*t^7.113 + 2*t^7.154 + 5*t^7.195 + 2*t^7.236 + t^7.342 + 2*t^7.383 + 3*t^7.425 - t^7.572 + 4*t^7.613 + t^7.744 + t^7.842 + t^7.932 + t^7.973 - t^8.079 - 2*t^8.12 + 3*t^8.161 + t^8.202 - 3*t^8.267 - 3*t^8.308 - t^8.349 + 3*t^8.39 + t^8.48 - 2*t^8.496 - 5*t^8.538 + 4*t^8.579 + t^8.62 + t^8.627 + t^8.669 + t^8.71 - t^8.726 + 3*t^8.767 + t^8.775 + 2*t^8.808 + t^8.816 + 2*t^8.857 + 3*t^8.898 + t^8.922 + t^8.939 + t^8.963 + 3*t^8.996 - t^4.154/y - t^6.274/y - t^6.421/y - t^6.462/y - t^6.504/y - t^6.692/y + t^7.387/y + t^7.428/y + t^7.469/y + t^7.575/y + (2*t^7.617)/y + (3*t^7.658)/y + (3*t^7.805)/y + (3*t^7.846)/y + (3*t^7.887)/y + t^8.034/y + t^8.075/y - t^8.394/y - t^8.541/y - t^8.583/y - t^8.689/y - t^8.73/y - t^8.771/y - t^4.154*y - t^6.274*y - t^6.421*y - t^6.462*y - t^6.504*y - t^6.692*y + t^7.387*y + t^7.428*y + t^7.469*y + t^7.575*y + 2*t^7.617*y + 3*t^7.658*y + 3*t^7.805*y + 3*t^7.846*y + 3*t^7.887*y + t^8.034*y + t^8.075*y - t^8.394*y - t^8.541*y - t^8.583*y - t^8.689*y - t^8.73*y - t^8.771*y | t^2.12/(g1^2*g2^11) + g1^2*g2^2*t^2.267 + t^2.308/g2^2 + t^2.349/(g1^2*g2^6) + 2*g2^3*t^2.538 + t^3.504/(g1^2*g2^7) + g2^2*t^3.692 + g2^7*t^3.921 + t^4.24/(g1^4*g2^22) + t^4.387/g2^9 + t^4.428/(g1^2*g2^13) + t^4.469/(g1^4*g2^17) + g1^4*g2^4*t^4.534 + g1^2*t^4.575 + (2*t^4.617)/g2^4 + (3*t^4.658)/(g1^2*g2^8) + t^4.699/(g1^4*g2^12) + 2*g1^2*g2^5*t^4.805 + 3*g2*t^4.846 + (2*t^4.887)/(g1^2*g2^3) + 3*g2^6*t^5.075 + t^5.624/(g1^4*g2^18) + t^5.812/(g1^2*g2^9) + t^5.853/(g1^4*g2^13) - 2*t^6. + (3*t^6.041)/(g1^2*g2^4) + 2*g2^5*t^6.229 + (g2*t^6.27)/g1^2 + t^6.36/(g1^6*g2^33) + 2*g2^10*t^6.459 + t^6.507/(g1^2*g2^20) + t^6.548/(g1^4*g2^24) + t^6.59/(g1^6*g2^28) + (g1^2*t^6.654)/g2^7 + t^6.696/g2^11 + (2*t^6.737)/(g1^2*g2^15) + (3*t^6.778)/(g1^4*g2^19) + g1^6*g2^6*t^6.802 + t^6.819/(g1^6*g2^23) + g1^4*g2^2*t^6.843 + (2*g1^2*t^6.884)/g2^2 + (3*t^6.925)/g2^6 + (4*t^6.966)/(g1^2*g2^10) + (4*t^7.007)/(g1^4*g2^14) + t^7.048/(g1^6*g2^18) + 2*g1^4*g2^7*t^7.072 + 2*g1^2*g2^3*t^7.113 + (2*t^7.154)/g2 + (5*t^7.195)/(g1^2*g2^5) + (2*t^7.236)/(g1^4*g2^9) + g1^2*g2^8*t^7.342 + 2*g2^4*t^7.383 + (3*t^7.425)/g1^2 - g1^2*g2^13*t^7.572 + 4*g2^9*t^7.613 + t^7.744/(g1^6*g2^29) + g2^14*t^7.842 + t^7.932/(g1^4*g2^20) + t^7.973/(g1^6*g2^24) - t^8.079/g2^7 - (2*t^8.12)/(g1^2*g2^11) + (3*t^8.161)/(g1^4*g2^15) + t^8.202/(g1^6*g2^19) - 3*g1^2*g2^2*t^8.267 - (3*t^8.308)/g2^2 - t^8.349/(g1^2*g2^6) + (3*t^8.39)/(g1^4*g2^10) + t^8.48/(g1^8*g2^44) - 2*g1^2*g2^7*t^8.496 - 5*g2^3*t^8.538 + (4*t^8.579)/(g1^2*g2) + t^8.62/(g1^4*g2^5) + t^8.627/(g1^4*g2^31) + t^8.669/(g1^6*g2^35) + t^8.71/(g1^8*g2^39) - g1^2*g2^12*t^8.726 + 3*g2^8*t^8.767 + t^8.775/g2^18 + (2*g2^4*t^8.808)/g1^2 + t^8.816/(g1^2*g2^22) + (2*t^8.857)/(g1^4*g2^26) + (3*t^8.898)/(g1^6*g2^30) + (g1^4*t^8.922)/g2^5 + t^8.939/(g1^8*g2^34) + (g1^2*t^8.963)/g2^9 + 3*g2^13*t^8.996 - t^4.154/(g2*y) - t^6.274/(g1^2*g2^12*y) - (g1^2*g2*t^6.421)/y - t^6.462/(g2^3*y) - t^6.504/(g1^2*g2^7*y) - (g2^2*t^6.692)/y + t^7.387/(g2^9*y) + t^7.428/(g1^2*g2^13*y) + t^7.469/(g1^4*g2^17*y) + (g1^2*t^7.575)/y + (2*t^7.617)/(g2^4*y) + (3*t^7.658)/(g1^2*g2^8*y) + (3*g1^2*g2^5*t^7.805)/y + (3*g2*t^7.846)/y + (3*t^7.887)/(g1^2*g2^3*y) + (g1^2*g2^10*t^8.034)/y + (g2^6*t^8.075)/y - t^8.394/(g1^4*g2^23*y) - t^8.541/(g2^10*y) - t^8.583/(g1^2*g2^14*y) - (g1^4*g2^3*t^8.689)/y - (g1^2*t^8.73)/(g2*y) - t^8.771/(g2^5*y) - (t^4.154*y)/g2 - (t^6.274*y)/(g1^2*g2^12) - g1^2*g2*t^6.421*y - (t^6.462*y)/g2^3 - (t^6.504*y)/(g1^2*g2^7) - g2^2*t^6.692*y + (t^7.387*y)/g2^9 + (t^7.428*y)/(g1^2*g2^13) + (t^7.469*y)/(g1^4*g2^17) + g1^2*t^7.575*y + (2*t^7.617*y)/g2^4 + (3*t^7.658*y)/(g1^2*g2^8) + 3*g1^2*g2^5*t^7.805*y + 3*g2*t^7.846*y + (3*t^7.887*y)/(g1^2*g2^3) + g1^2*g2^10*t^8.034*y + g2^6*t^8.075*y - (t^8.394*y)/(g1^4*g2^23) - (t^8.541*y)/g2^10 - (t^8.583*y)/(g1^2*g2^14) - g1^4*g2^3*t^8.689*y - (g1^2*t^8.73*y)/g2 - (t^8.771*y)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3886 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ | 0.5867 | 0.7259 | 0.8083 | [X:[1.1773, 1.379], M:[0.621, 0.9919, 0.8227, 0.7903, 1.2097, 1.0081, 0.7903], q:[0.883, 0.496], qb:[0.2943, 0.7138], phi:[0.4032]] | 2*t^2.371 + t^2.419 + t^2.976 + t^3.024 + t^3.532 + t^3.581 + t^4.137 + t^4.185 + 3*t^4.742 + 3*t^4.79 + t^4.839 + 2*t^5.347 + 2*t^5.395 + 2*t^5.903 + 3*t^5.951 - t^6. - t^4.21/y - t^4.21*y | detail | |
| 3885 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{6}^{2}$ | 0.618 | 0.7842 | 0.7881 | [X:[1.097], M:[0.7324, 0.9264, 0.903, 0.7559, 1.2441, 1.0, 0.7559], q:[0.8044, 0.4632], qb:[0.2926, 0.7809], phi:[0.4147]] | t^2.197 + 2*t^2.268 + t^2.488 + t^2.779 + t^3. + t^3.291 + t^3.512 + t^4.023 + t^4.395 + 2*t^4.465 + 3*t^4.535 + t^4.686 + 3*t^4.756 + 2*t^4.977 + 2*t^5.047 + t^5.197 + 3*t^5.268 + t^5.488 + 3*t^5.559 + 3*t^5.779 - t^6. - t^4.244/y - t^4.244*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2843 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.6572 | 0.8255 | 0.7962 | [X:[1.3361], M:[0.7369, 0.7854, 0.6639, 0.8583, 1.1417, 0.6882], q:[0.8704, 0.3927], qb:[0.4656, 0.749], phi:[0.3806]] | t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. - t^4.142/y - t^4.142*y | detail |