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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[6], [-14], [-6], [16]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.337 + 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. + 3*t^6.045 + 2*t^6.09 + 2*t^6.135 + t^6.18 + t^7.011 + t^7.056 + t^7.101 + 4*t^7.146 + 2*t^7.191 + 2*t^7.236 + 4*t^7.281 + 3*t^7.326 + 2*t^7.371 + 2*t^7.416 + t^8.247 - t^8.337 + t^8.382 + t^8.472 + 4*t^8.517 + 3*t^8.562 + 2*t^8.607 + t^8.652 - t^4.191/y - t^6.528/y - t^6.573/y - t^6.663/y + (2*t^7.719)/y + t^7.764/y + (3*t^7.809)/y + (2*t^7.854)/y + t^7.899/y - t^8.865/y + t^8.91/y + (2*t^8.955)/y - t^4.191*y - t^6.528*y - t^6.573*y - t^6.663*y + 2*t^7.719*y + t^7.764*y + 3*t^7.809*y + 2*t^7.854*y + t^7.899*y - t^8.865*y + t^8.91*y + 2*t^8.955*y | t^2.337/g1^14 + t^2.382/g1^4 + g1^6*t^2.427 + g1^16*t^2.472 + (2*t^3.573)/g1^6 + g1^4*t^3.618 + g1^14*t^3.663 + g1^24*t^3.708 + t^4.674/g1^28 + t^4.719/g1^18 + (2*t^4.764)/g1^8 + 3*g1^2*t^4.809 + 2*g1^12*t^4.854 + g1^22*t^4.899 + g1^32*t^4.944 + t^5.91/g1^20 + t^5.955/g1^10 + t^6. + 3*g1^10*t^6.045 + 2*g1^20*t^6.09 + 2*g1^30*t^6.135 + g1^40*t^6.18 + t^7.011/g1^42 + t^7.056/g1^32 + t^7.101/g1^22 + (4*t^7.146)/g1^12 + (2*t^7.191)/g1^2 + 2*g1^8*t^7.236 + 4*g1^18*t^7.281 + 3*g1^28*t^7.326 + 2*g1^38*t^7.371 + 2*g1^48*t^7.416 + t^8.247/g1^34 - t^8.337/g1^14 + t^8.382/g1^4 + g1^16*t^8.472 + 4*g1^26*t^8.517 + 3*g1^36*t^8.562 + 2*g1^46*t^8.607 + g1^56*t^8.652 - t^4.191/(g1^2*y) - t^6.528/(g1^16*y) - t^6.573/(g1^6*y) - (g1^14*t^6.663)/y + (2*t^7.719)/(g1^18*y) + t^7.764/(g1^8*y) + (3*g1^2*t^7.809)/y + (2*g1^12*t^7.854)/y + (g1^22*t^7.899)/y - t^8.865/(g1^30*y) + t^8.91/(g1^20*y) + (2*t^8.955)/(g1^10*y) - (t^4.191*y)/g1^2 - (t^6.528*y)/g1^16 - (t^6.573*y)/g1^6 - g1^14*t^6.663*y + (2*t^7.719*y)/g1^18 + (t^7.764*y)/g1^8 + 3*g1^2*t^7.809*y + 2*g1^12*t^7.854*y + g1^22*t^7.899*y - (t^8.865*y)/g1^30 + (t^8.91*y)/g1^20 + (2*t^8.955*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 |
|---|---|---|---|---|---|---|---|---|
| 742 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6476 | 0.8091 | 0.8003 | [M:[0.8113, 0.7736, 1.1887, 0.8301, 0.7925], q:[0.8019, 0.8019], qb:[0.3868, 0.4245], phi:[0.3962]] | t^2.321 + 2*t^2.377 + t^2.434 + t^2.49 + 2*t^3.566 + t^3.679 + t^3.736 + t^4.642 + 2*t^4.698 + 4*t^4.755 + 4*t^4.811 + 3*t^4.868 + t^4.924 + t^4.981 + t^5.887 + 2*t^5.943 - t^4.189/y - t^4.189*y | detail | |
| 743 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 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]] | 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. - t^4.183/y - t^4.183*y | detail | |
| 741 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6139 | 0.7503 | 0.8182 | [M:[0.8066, 0.7845, 1.1934, 0.8177, 1.2044], q:[0.8011, 0.8011], qb:[0.3923, 0.4144], phi:[0.3978]] | t^2.354 + t^2.42 + t^2.453 + 2*t^3.58 + 2*t^3.613 + t^3.646 + t^3.68 + t^4.707 + t^4.773 + 2*t^4.807 + t^4.84 + t^4.873 + t^4.906 + t^5.934 - t^4.193/y - t^4.193*y | detail | |
| 1849 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6488 | 0.8116 | 0.7994 | [M:[0.8156, 0.7636, 1.1844, 0.8416, 0.7636], q:[0.8026, 0.8026], qb:[0.3818, 0.4338], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 270 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | t^2.016 + t^2.496 + t^2.736 + 2*t^3. + t^3.744 + 2*t^4.008 + t^4.032 + 2*t^4.248 + 4*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + t^5.472 + 2*t^5.496 + t^5.76 - 2*t^6. - t^4.248/y - t^4.248*y | detail |