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 |
|---|---|---|---|---|---|---|---|---|---|
| 46466 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6362 | 0.7913 | 0.804 | [M:[0.8273, 0.7364, 1.1727, 0.7364], q:[0.8045, 0.3682], qb:[0.4591, 0.8045], phi:[0.3909]] | [M:[[6], [-14], [-6], [-14]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.209 + t^2.345 + t^2.482 + t^3.382 + 2*t^3.518 + t^3.655 + t^3.927 + 3*t^4.418 + 2*t^4.555 + 3*t^4.691 + 2*t^4.827 + t^4.964 + 2*t^5.591 + 4*t^5.727 + 3*t^5.864 + t^6.136 + t^6.409 + 4*t^6.627 + 4*t^6.764 + 6*t^6.9 + 6*t^7.036 + 2*t^7.173 - t^7.309 + 3*t^7.8 + t^7.854 + 6*t^7.936 + 5*t^8.073 + t^8.345 - 3*t^8.482 - t^8.618 + 5*t^8.837 + t^8.891 + 6*t^8.973 - t^4.173/y - (2*t^6.382)/y - t^6.518/y + t^7.418/y + (2*t^7.555)/y + (2*t^7.691)/y + (2*t^7.827)/y + (2*t^7.964)/y - t^8.591/y + (3*t^8.727)/y + (4*t^8.864)/y - t^4.173*y - 2*t^6.382*y - t^6.518*y + t^7.418*y + 2*t^7.555*y + 2*t^7.691*y + 2*t^7.827*y + 2*t^7.964*y - t^8.591*y + 3*t^8.727*y + 4*t^8.864*y | (2*t^2.209)/g1^14 + t^2.345/g1^4 + g1^6*t^2.482 + t^3.382/g1^16 + (2*t^3.518)/g1^6 + g1^4*t^3.655 + g1^24*t^3.927 + (3*t^4.418)/g1^28 + (2*t^4.555)/g1^18 + (3*t^4.691)/g1^8 + 2*g1^2*t^4.827 + g1^12*t^4.964 + (2*t^5.591)/g1^30 + (4*t^5.727)/g1^20 + (3*t^5.864)/g1^10 + g1^10*t^6.136 + g1^30*t^6.409 + (4*t^6.627)/g1^42 + (4*t^6.764)/g1^32 + (6*t^6.9)/g1^22 + (6*t^7.036)/g1^12 + (2*t^7.173)/g1^2 - g1^8*t^7.309 + (3*t^7.8)/g1^44 + g1^48*t^7.854 + (6*t^7.936)/g1^34 + (5*t^8.073)/g1^24 + t^8.345/g1^4 - 3*g1^6*t^8.482 - g1^16*t^8.618 + (5*t^8.837)/g1^56 + g1^36*t^8.891 + (6*t^8.973)/g1^46 - t^4.173/(g1^2*y) - (2*t^6.382)/(g1^16*y) - t^6.518/(g1^6*y) + t^7.418/(g1^28*y) + (2*t^7.555)/(g1^18*y) + (2*t^7.691)/(g1^8*y) + (2*g1^2*t^7.827)/y + (2*g1^12*t^7.964)/y - t^8.591/(g1^30*y) + (3*t^8.727)/(g1^20*y) + (4*t^8.864)/(g1^10*y) - (t^4.173*y)/g1^2 - (2*t^6.382*y)/g1^16 - (t^6.518*y)/g1^6 + (t^7.418*y)/g1^28 + (2*t^7.555*y)/g1^18 + (2*t^7.691*y)/g1^8 + 2*g1^2*t^7.827*y + 2*g1^12*t^7.964*y - (t^8.591*y)/g1^30 + (3*t^8.727*y)/g1^20 + (4*t^8.864*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46923 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.651 | 0.8164 | 0.7974 | [M:[0.8232, 0.7458, 1.1768, 0.7458, 0.8232], q:[0.8039, 0.3729], qb:[0.4503, 0.8039], phi:[0.3923]] | 2*t^2.237 + t^2.354 + 2*t^2.47 + t^3.414 + t^3.53 + t^3.646 + t^3.879 + 3*t^4.475 + 2*t^4.591 + 5*t^4.707 + 3*t^4.823 + 3*t^4.939 + 2*t^5.652 + 2*t^5.768 + 3*t^5.884 - t^4.177/y - t^4.177*y | detail | |
| 47218 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6537 | 0.823 | 0.7944 | [M:[0.8294, 0.7314, 1.1706, 0.7314, 0.7804], q:[0.8049, 0.3657], qb:[0.4637, 0.8049], phi:[0.3902]] | 2*t^2.194 + 2*t^2.341 + t^2.488 + t^3.365 + 2*t^3.512 + t^3.953 + 3*t^4.389 + 4*t^4.536 + 5*t^4.682 + 3*t^4.829 + t^4.976 + 2*t^5.559 + 5*t^5.706 + 3*t^5.853 - t^6. - t^4.171/y - t^4.171*y | detail | |
| 47132 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6488 | 0.8116 | 0.7994 | [M:[0.8156, 0.7636, 1.1844, 0.7636, 0.8416], q:[0.8026, 0.3818], qb:[0.4338, 0.8026], phi:[0.3948]] | 2*t^2.291 + t^2.369 + t^2.447 + t^2.525 + 2*t^3.553 + t^3.631 + t^3.787 + 3*t^4.581 + 2*t^4.659 + 3*t^4.738 + 4*t^4.816 + 2*t^4.894 + t^4.972 + t^5.05 + 3*t^5.844 + 2*t^5.922 - t^4.184/y - t^4.184*y | detail | |
| 48224 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6569 | 0.8322 | 0.7893 | [M:[0.8294, 0.7315, 1.1706, 0.7315, 0.6826], q:[0.8049, 0.3658], qb:[0.4636, 0.8049], phi:[0.3902]] | t^2.048 + 2*t^2.195 + t^2.341 + t^2.488 + t^3.365 + 2*t^3.512 + t^3.659 + t^4.095 + 2*t^4.242 + 4*t^4.389 + 3*t^4.536 + 3*t^4.683 + 2*t^4.829 + t^4.976 + t^5.413 + 4*t^5.56 + 5*t^5.706 + 3*t^5.853 - t^4.171/y - t^4.171*y | detail | |
| 48134 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6187 | 0.7598 | 0.8142 | [M:[0.8251, 0.7414, 1.1749, 0.7414, 1.2167], q:[0.8042, 0.3707], qb:[0.4544, 0.8042], phi:[0.3916]] | 2*t^2.224 + t^2.475 + t^3.399 + 2*t^3.525 + 2*t^3.65 + t^3.901 + 3*t^4.449 + 2*t^4.7 + t^4.825 + t^4.951 + 2*t^5.623 + 3*t^5.749 + 3*t^5.874 - t^6. - t^4.175/y - t^4.175*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46245 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6168 | 0.7552 | 0.8167 | [M:[0.8215, 0.7498, 1.1785], q:[0.8036, 0.3749], qb:[0.4467, 0.8036], phi:[0.3928]] | t^2.249 + t^2.357 + t^2.465 + t^3.428 + 2*t^3.535 + t^3.643 + t^3.751 + t^3.858 + t^4.499 + t^4.606 + 2*t^4.714 + 2*t^4.822 + t^4.929 + t^5.677 + 2*t^5.785 + 2*t^5.892 + t^6. - t^4.178/y - t^4.178*y | detail |