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 |
|---|---|---|---|---|---|---|---|---|---|
| 46982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6521 | 0.8157 | 0.7994 | [X:[1.6123], M:[0.3877, 0.7142, 1.1632, 0.8368, 0.7689, 0.8368], q:[0.8335, 0.7788], qb:[0.4523, 0.3845], phi:[0.3877]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [2, 0], [0, 3]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.142 + t^2.307 + t^2.326 + 2*t^2.51 + t^3.47 + t^3.654 + t^3.674 + t^3.877 + t^4.285 + t^4.449 + t^4.469 + t^4.614 + t^4.633 + 3*t^4.653 + 2*t^4.817 + 3*t^4.837 + 3*t^5.021 + t^5.612 + t^5.777 + t^5.796 + t^5.961 + 3*t^5.98 - 2*t^6. + 2*t^6.164 + 2*t^6.184 + 2*t^6.388 + t^6.427 + t^6.592 + t^6.611 + t^6.756 + t^6.776 + 3*t^6.795 + t^6.92 + 2*t^6.94 + 2*t^6.96 + 3*t^6.979 + 3*t^7.124 + 2*t^7.144 + 3*t^7.163 - t^7.183 + t^7.308 + 3*t^7.327 + 3*t^7.347 - 2*t^7.367 + 4*t^7.531 + t^7.754 + t^7.755 + t^7.919 + t^7.939 + t^8.083 + t^8.103 + 2*t^8.123 - 3*t^8.142 + t^8.267 + 3*t^8.287 - 3*t^8.326 - t^8.346 + 2*t^8.471 + 5*t^8.491 - 6*t^8.51 - t^8.53 + t^8.57 + 3*t^8.675 + 2*t^8.694 + t^8.734 + t^8.754 + 4*t^8.898 + t^8.918 + 3*t^8.938 - t^4.163/y - t^6.306/y - t^6.47/y - t^6.49/y - t^6.674/y + t^7.449/y + t^7.469/y + t^7.633/y + (3*t^7.653)/y + (2*t^7.817)/y + (3*t^7.837)/y + t^7.856/y + (2*t^8.021)/y - t^8.448/y - t^8.632/y + t^8.796/y - t^8.816/y + t^8.961/y + (3*t^8.98)/y - t^4.163*y - t^6.306*y - t^6.47*y - t^6.49*y - t^6.674*y + t^7.449*y + t^7.469*y + t^7.633*y + 3*t^7.653*y + 2*t^7.817*y + 3*t^7.837*y + t^7.856*y + 2*t^8.021*y - t^8.448*y - t^8.632*y + t^8.796*y - t^8.816*y + t^8.961*y + 3*t^8.98*y | t^2.142/g2^7 + g1^2*t^2.307 + t^2.326/g2^2 + 2*g2^3*t^2.51 + (g1^2*t^3.47)/g2 + g1^2*g2^4*t^3.654 + g2^2*t^3.674 + (g2^5*t^3.877)/g1^2 + t^4.285/g2^14 + (g1^2*t^4.449)/g2^7 + t^4.469/g2^9 + g1^4*t^4.614 + (g1^2*t^4.633)/g2^2 + (3*t^4.653)/g2^4 + 2*g1^2*g2^3*t^4.817 + 3*g2*t^4.837 + 3*g2^6*t^5.021 + (g1^2*t^5.612)/g2^8 + (g1^4*t^5.777)/g2 + (g1^2*t^5.796)/g2^3 + g1^4*g2^4*t^5.961 + 3*g1^2*g2^2*t^5.98 - 2*t^6. + 2*g1^2*g2^7*t^6.164 + 2*g2^5*t^6.184 + (2*g2^8*t^6.388)/g1^2 + t^6.427/g2^21 + (g1^2*t^6.592)/g2^14 + t^6.611/g2^16 + (g1^4*t^6.756)/g2^7 + (g1^2*t^6.776)/g2^9 + (3*t^6.795)/g2^11 + g1^6*t^6.92 + (2*g1^4*t^6.94)/g2^2 + (2*g1^2*t^6.96)/g2^4 + (3*t^6.979)/g2^6 + 3*g1^4*g2^3*t^7.124 + 2*g1^2*g2*t^7.144 + (3*t^7.163)/g2 - t^7.183/(g1^2*g2^3) + g1^4*g2^8*t^7.308 + 3*g1^2*g2^6*t^7.327 + 3*g2^4*t^7.347 - (2*g2^2*t^7.367)/g1^2 + 4*g2^9*t^7.531 + (g2^10*t^7.754)/g1^4 + (g1^2*t^7.755)/g2^15 + (g1^4*t^7.919)/g2^8 + (g1^2*t^7.939)/g2^10 + (g1^6*t^8.083)/g2 + (g1^4*t^8.103)/g2^3 + (2*g1^2*t^8.123)/g2^5 - (3*t^8.142)/g2^7 + g1^6*g2^4*t^8.267 + 3*g1^4*g2^2*t^8.287 - (3*t^8.326)/g2^2 - t^8.346/(g1^2*g2^4) + 2*g1^4*g2^7*t^8.471 + 5*g1^2*g2^5*t^8.491 - 6*g2^3*t^8.51 - (g2*t^8.53)/g1^2 + t^8.57/g2^28 + 3*g1^2*g2^10*t^8.675 + 2*g2^8*t^8.694 + (g1^2*t^8.734)/g2^21 + t^8.754/g2^23 + (g1^4*t^8.898)/g2^14 + (3*g2^11*t^8.898)/g1^2 + (g1^2*t^8.918)/g2^16 + (3*t^8.938)/g2^18 - t^4.163/(g2*y) - t^6.306/(g2^8*y) - (g1^2*t^6.47)/(g2*y) - t^6.49/(g2^3*y) - (g2^2*t^6.674)/y + (g1^2*t^7.449)/(g2^7*y) + t^7.469/(g2^9*y) + (g1^2*t^7.633)/(g2^2*y) + (3*t^7.653)/(g2^4*y) + (2*g1^2*g2^3*t^7.817)/y + (3*g2*t^7.837)/y + t^7.856/(g1^2*g2*y) + (2*g2^6*t^8.021)/y - t^8.448/(g2^15*y) - t^8.632/(g2^10*y) + (g1^2*t^8.796)/(g2^3*y) - t^8.816/(g2^5*y) + (g1^4*g2^4*t^8.961)/y + (3*g1^2*g2^2*t^8.98)/y - (t^4.163*y)/g2 - (t^6.306*y)/g2^8 - (g1^2*t^6.47*y)/g2 - (t^6.49*y)/g2^3 - g2^2*t^6.674*y + (g1^2*t^7.449*y)/g2^7 + (t^7.469*y)/g2^9 + (g1^2*t^7.633*y)/g2^2 + (3*t^7.653*y)/g2^4 + 2*g1^2*g2^3*t^7.817*y + 3*g2*t^7.837*y + (t^7.856*y)/(g1^2*g2) + 2*g2^6*t^8.021*y - (t^8.448*y)/g2^15 - (t^8.632*y)/g2^10 + (g1^2*t^8.796*y)/g2^3 - (t^8.816*y)/g2^5 + g1^4*g2^4*t^8.961*y + 3*g1^2*g2^2*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 55134 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ | 0.6046 | 0.7716 | 0.7835 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.7557, 0.7143], q:[0.6636, 0.9079], qb:[0.3364, 0.3779], phi:[0.4286]] | 2*t^2.143 + t^2.267 + t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.429 + t^3.553 + 3*t^4.286 + 2*t^4.41 + t^4.534 + 3*t^4.714 + t^4.839 + 3*t^5.143 + 3*t^5.267 + t^5.391 + 2*t^5.447 + 3*t^5.571 + 3*t^5.696 + t^5.82 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 55282 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6509 | 0.8123 | 0.8013 | [X:[1.6121], M:[0.3879, 0.7152, 1.1637, 0.8363, 0.8061, 0.8363], q:[0.8515, 0.7606], qb:[0.4333, 0.403], phi:[0.3879]] | t^2.146 + t^2.327 + t^2.418 + 2*t^2.509 + t^3.582 + t^3.673 + 2*t^3.764 + t^4.291 + t^4.473 + t^4.564 + 3*t^4.655 + t^4.745 + 4*t^4.836 + 2*t^4.927 + 3*t^5.018 + t^5.727 + t^5.909 - t^6. - t^4.164/y - t^4.164*y | detail | |
| 55294 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6726 | 0.8559 | 0.7859 | [X:[1.6134], M:[0.3866, 0.7063, 1.1599, 0.8401, 0.7607, 0.8401, 0.6938], q:[0.8339, 0.7795], qb:[0.4598, 0.3803], phi:[0.3866]] | t^2.081 + t^2.119 + t^2.282 + t^2.32 + 2*t^2.52 + t^3.442 + t^3.643 + t^3.68 + t^4.163 + t^4.2 + t^4.238 + t^4.363 + 2*t^4.401 + t^4.439 + t^4.564 + 3*t^4.602 + 3*t^4.639 + 2*t^4.802 + 3*t^4.84 + 3*t^5.041 + t^5.523 + t^5.561 + 2*t^5.724 + 2*t^5.762 + t^5.925 + 3*t^5.962 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46569 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.3841, 0.689, 1.1524, 0.8476, 0.77], q:[0.8484, 0.7674], qb:[0.4625, 0.385], phi:[0.3841]] | t^2.067 + t^2.305 + t^2.31 + t^2.543 + t^3.457 + t^3.463 + t^3.695 + t^3.7 + t^3.928 + t^4.134 + t^4.372 + t^4.377 + 2*t^4.61 + t^4.615 + t^4.62 + 2*t^4.848 + t^4.853 + t^5.085 + t^5.524 + t^5.53 + t^5.762 + 2*t^5.767 + t^5.773 - t^6. - t^4.152/y - t^4.152*y | detail |