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 |
|---|---|---|---|---|---|---|---|---|---|
| 743 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6499 | 0.8145 | 0.7979 | [M:[0.8171, 0.7602, 1.1829, 0.8455, 0.7318], q:[0.8028, 0.8028], qb:[0.3801, 0.437], phi:[0.3943]] | [M:[[6], [-14], [-6], [16], [-24]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.195 + t^2.281 + t^2.366 + t^2.451 + t^2.536 + 2*t^3.549 + t^3.634 + t^3.719 + t^4.391 + t^4.476 + 2*t^4.561 + 2*t^4.646 + 3*t^4.732 + 3*t^4.817 + 2*t^4.902 + t^4.988 + t^5.073 + 2*t^5.744 + 2*t^5.829 + 2*t^5.915 + t^6. + 2*t^6.085 + t^6.171 + t^6.256 + t^6.586 + t^6.671 + 2*t^6.756 + 3*t^6.842 + 4*t^6.927 + 4*t^7.012 + 6*t^7.098 + 3*t^7.183 + 3*t^7.268 + 2*t^7.354 + 2*t^7.439 + t^7.524 + t^7.609 + 2*t^7.939 + 2*t^8.025 + 3*t^8.11 + t^8.195 + t^8.281 + t^8.366 - t^8.536 + t^8.622 + t^8.707 + t^8.781 + t^8.792 + t^8.866 + 2*t^8.952 - t^4.183/y - t^6.378/y - t^6.464/y - t^6.549/y - t^6.719/y + t^7.476/y + t^7.561/y + (3*t^7.646)/y + (2*t^7.732)/y + (3*t^7.817)/y + (2*t^7.902)/y + (2*t^7.988)/y - t^8.573/y - t^8.659/y + (2*t^8.829)/y + (2*t^8.915)/y - t^4.183*y - t^6.378*y - t^6.464*y - t^6.549*y - t^6.719*y + t^7.476*y + t^7.561*y + 3*t^7.646*y + 2*t^7.732*y + 3*t^7.817*y + 2*t^7.902*y + 2*t^7.988*y - t^8.573*y - t^8.659*y + 2*t^8.829*y + 2*t^8.915*y | t^2.195/g1^24 + t^2.281/g1^14 + t^2.366/g1^4 + g1^6*t^2.451 + g1^16*t^2.536 + (2*t^3.549)/g1^6 + g1^4*t^3.634 + g1^14*t^3.719 + t^4.391/g1^48 + t^4.476/g1^38 + (2*t^4.561)/g1^28 + (2*t^4.646)/g1^18 + (3*t^4.732)/g1^8 + 3*g1^2*t^4.817 + 2*g1^12*t^4.902 + g1^22*t^4.988 + g1^32*t^5.073 + (2*t^5.744)/g1^30 + (2*t^5.829)/g1^20 + (2*t^5.915)/g1^10 + t^6. + 2*g1^10*t^6.085 + g1^20*t^6.171 + g1^30*t^6.256 + t^6.586/g1^72 + t^6.671/g1^62 + (2*t^6.756)/g1^52 + (3*t^6.842)/g1^42 + (4*t^6.927)/g1^32 + (4*t^7.012)/g1^22 + (6*t^7.098)/g1^12 + (3*t^7.183)/g1^2 + 3*g1^8*t^7.268 + 2*g1^18*t^7.354 + 2*g1^28*t^7.439 + g1^38*t^7.524 + g1^48*t^7.609 + (2*t^7.939)/g1^54 + (2*t^8.025)/g1^44 + (3*t^8.11)/g1^34 + t^8.195/g1^24 + t^8.281/g1^14 + t^8.366/g1^4 - g1^16*t^8.536 + g1^26*t^8.622 + g1^36*t^8.707 + t^8.781/g1^96 + g1^46*t^8.792 + t^8.866/g1^86 + (2*t^8.952)/g1^76 - t^4.183/(g1^2*y) - t^6.378/(g1^26*y) - t^6.464/(g1^16*y) - t^6.549/(g1^6*y) - (g1^14*t^6.719)/y + t^7.476/(g1^38*y) + t^7.561/(g1^28*y) + (3*t^7.646)/(g1^18*y) + (2*t^7.732)/(g1^8*y) + (3*g1^2*t^7.817)/y + (2*g1^12*t^7.902)/y + (2*g1^22*t^7.988)/y - t^8.573/(g1^50*y) - t^8.659/(g1^40*y) + (2*t^8.829)/(g1^20*y) + (2*t^8.915)/(g1^10*y) - (t^4.183*y)/g1^2 - (t^6.378*y)/g1^26 - (t^6.464*y)/g1^16 - (t^6.549*y)/g1^6 - g1^14*t^6.719*y + (t^7.476*y)/g1^38 + (t^7.561*y)/g1^28 + (3*t^7.646*y)/g1^18 + (2*t^7.732*y)/g1^8 + 3*g1^2*t^7.817*y + 2*g1^12*t^7.902*y + 2*g1^22*t^7.988*y - (t^8.573*y)/g1^50 - (t^8.659*y)/g1^40 + (2*t^8.829*y)/g1^20 + (2*t^8.915*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 |
|---|---|---|---|---|---|---|---|---|
| 1220 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ | 0.5598 | 0.6914 | 0.8097 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.211 + t^2.526 + t^2.842 + 2*t^3.158 + t^3.474 + 2*t^3.789 + t^4.105 + t^4.421 + 2*t^4.737 + 2*t^5.053 + 2*t^5.368 + 2*t^5.684 + 2*t^6. - t^4.263/y - t^4.263*y | detail | {a: 3840/6859, c: 9485/13718, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
| 1221 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$ | 0.6315 | 0.7813 | 0.8083 | [M:[0.8121, 0.7718, 1.1879, 0.8322, 0.7517, 1.2282], q:[0.802, 0.802], qb:[0.3859, 0.4261], phi:[0.396]] | t^2.255 + t^2.376 + t^2.436 + t^2.497 + 2*t^3.564 + t^3.624 + 2*t^3.684 + t^4.51 + t^4.631 + t^4.691 + 2*t^4.752 + 2*t^4.812 + 2*t^4.872 + t^4.933 + t^4.993 + 2*t^5.819 + 2*t^5.94 - t^4.188/y - t^4.188*y | detail | |
| 1222 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.6373 | 0.7949 | 0.8018 | [M:[0.826, 0.7394, 1.174, 0.8692, 0.6961, 1.1308], q:[0.8043, 0.8043], qb:[0.3697, 0.4563], phi:[0.3913]] | t^2.088 + t^2.218 + t^2.348 + t^2.478 + t^3.392 + 2*t^3.522 + t^3.652 + t^3.782 + t^4.177 + t^4.307 + 2*t^4.436 + 2*t^4.566 + 2*t^4.696 + 2*t^4.826 + t^4.956 + t^5.481 + 3*t^5.611 + 3*t^5.74 + 3*t^5.87 + t^6. - t^4.174/y - t^4.174*y | detail | |
| 1218 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.5798 | 0.7152 | 0.8107 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.0], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^3.75 + t^4. + t^4.5 + 2*t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + t^5.75 + 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 1781/3072, c: 2197/3072, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 1, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
| 1991 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6687 | 0.8494 | 0.7872 | [M:[0.8211, 0.7507, 1.1789, 0.8564, 0.7154, 0.7507], q:[0.8035, 0.8035], qb:[0.3753, 0.4458], phi:[0.393]] | t^2.146 + 2*t^2.252 + t^2.358 + t^2.463 + t^2.569 + 2*t^3.537 + t^3.642 + t^4.293 + 2*t^4.398 + 4*t^4.504 + 3*t^4.61 + 4*t^4.715 + 4*t^4.821 + 2*t^4.927 + t^5.033 + t^5.138 + 2*t^5.683 + 4*t^5.789 + 2*t^5.894 - t^4.179/y - t^4.179*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 |
|---|---|---|---|---|---|---|---|---|---|
| 442 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6307 | 0.7795 | 0.809 | [M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.337 + t^2.382 + t^2.427 + t^2.472 + 2*t^3.573 + t^3.618 + t^3.663 + t^3.708 + t^4.674 + t^4.719 + 2*t^4.764 + 3*t^4.809 + 2*t^4.854 + t^4.899 + t^4.944 + t^5.91 + t^5.955 + t^6. - t^4.191/y - t^4.191*y | detail |