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 |
|---|---|---|---|---|---|---|---|---|---|
| 57470 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.348 | 1.5616 | 0.8633 | [X:[1.354], M:[0.7701], q:[0.3455, 0.5754], qb:[0.6545, 0.3005], phi:[0.354]] | [X:[[0, 1]], M:[[0, 5]], q:[[-1, -1], [-1, -6]], qb:[[1, 1], [1, 0]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.12 + t^2.31 + t^2.63 + 2*t^3. + t^3.19 + t^3.69 + 3*t^4.06 + t^4.25 + t^4.43 + t^4.62 + 3*t^4.75 + t^4.83 + t^4.86 + 3*t^5.12 + t^5.26 + 2*t^5.31 + t^5.5 + t^5.55 + 2*t^5.63 + 3*t^5.81 + 3*t^5.89 + t^5.92 - t^6. + 5*t^6.19 + t^6.3 + t^6.32 + 4*t^6.37 + t^6.56 + t^6.61 + 4*t^6.69 + t^6.74 - t^6.8 + 3*t^6.88 + t^6.93 + 3*t^6.95 + 2*t^6.99 + 3*t^7.06 - t^7.14 + 6*t^7.25 + 4*t^7.38 + 2*t^7.43 + t^7.46 + t^7.49 - t^7.57 + 2*t^7.62 + 2*t^7.67 + 8*t^7.75 + t^7.81 + t^7.88 + 2*t^7.94 + 5*t^8.01 + 2*t^8.05 + 5*t^8.12 + t^8.18 - t^8.23 + 2*t^8.26 + 4*t^8.31 + t^8.36 + t^8.42 + 5*t^8.44 + 5*t^8.5 + 4*t^8.52 + 2*t^8.55 + t^8.61 - 4*t^8.63 + 4*t^8.68 - 2*t^8.7 + t^8.74 + 13*t^8.81 + t^8.87 + 4*t^8.89 + t^8.92 + t^8.94 - t^4.06/y - t^5.12/y - t^6.19/y - t^6.37/y - t^6.69/y - t^7.06/y - (2*t^7.25)/y + (2*t^7.94)/y - t^8.12/y + t^8.31/y + (2*t^8.63)/y - t^8.68/y - t^4.06*y - t^5.12*y - t^6.19*y - t^6.37*y - t^6.69*y - t^7.06*y - 2*t^7.25*y + 2*t^7.94*y - t^8.12*y + t^8.31*y + 2*t^8.63*y - t^8.68*y | g2^2*t^2.12 + g2^5*t^2.31 + t^2.63/g2^6 + 2*t^3. + g2^3*t^3.19 + t^3.69/g2^5 + 3*g2*t^4.06 + g2^4*t^4.25 + g2^7*t^4.43 + g2^10*t^4.62 + (3*t^4.75)/g2^4 + g1^3*g2^2*t^4.83 + t^4.86/(g1^3*g2^7) + 3*g2^2*t^5.12 + t^5.26/g2^12 + 2*g2^5*t^5.31 + g2^8*t^5.5 + t^5.55/(g1^3*g2^12) + (2*t^5.63)/g2^6 + (3*t^5.81)/g2^3 + 3*g1^3*g2^3*t^5.89 + t^5.92/(g1^3*g2^6) - t^6. + 5*g2^3*t^6.19 + t^6.3/g1^3 + t^6.32/g2^11 + 4*g2^6*t^6.37 + g2^9*t^6.56 + t^6.61/(g1^3*g2^11) + (4*t^6.69)/g2^5 + g2^12*t^6.74 - t^6.8/(g1^3*g2^8) + (3*t^6.88)/g2^2 + g2^15*t^6.93 + 3*g1^3*g2^4*t^6.95 + (2*t^6.99)/(g1^3*g2^5) + 3*g2*t^7.06 - g1^3*g2^7*t^7.14 + 6*g2^4*t^7.25 + (4*t^7.38)/g2^10 + 2*g2^7*t^7.43 + (g1^3*t^7.46)/g2^4 + t^7.49/(g1^3*g2^13) - t^7.57/g2^7 + 2*g2^10*t^7.62 + (2*t^7.67)/(g1^3*g2^10) + (8*t^7.75)/g2^4 + g2^13*t^7.81 + t^7.88/g2^18 + (2*t^7.94)/g2 + 5*g1^3*g2^5*t^8.01 + (2*t^8.05)/(g1^3*g2^4) + 5*g2^2*t^8.12 + t^8.18/(g1^3*g2^18) - t^8.23/(g1^3*g2) + (2*t^8.26)/g2^12 + 4*g2^5*t^8.31 + t^8.36/(g1^3*g2^15) + (g2^2*t^8.42)/g1^3 + (5*t^8.44)/g2^9 + 5*g2^8*t^8.5 + (4*g1^3*t^8.52)/g2^3 + (2*t^8.55)/(g1^3*g2^12) + (g2^5*t^8.61)/g1^3 - (4*t^8.63)/g2^6 + 4*g2^11*t^8.68 - 2*g1^3*t^8.7 + t^8.74/(g1^3*g2^9) + (13*t^8.81)/g2^3 + g2^14*t^8.87 + 4*g1^3*g2^3*t^8.89 + t^8.92/(g1^3*g2^6) + t^8.94/g2^17 - (g2*t^4.06)/y - (g2^2*t^5.12)/y - (g2^3*t^6.19)/y - (g2^6*t^6.37)/y - t^6.69/(g2^5*y) - (g2*t^7.06)/y - (2*g2^4*t^7.25)/y + (2*t^7.94)/(g2*y) - (g2^2*t^8.12)/y + (g2^5*t^8.31)/y + (2*t^8.63)/(g2^6*y) - (g2^11*t^8.68)/y - g2*t^4.06*y - g2^2*t^5.12*y - g2^3*t^6.19*y - g2^6*t^6.37*y - (t^6.69*y)/g2^5 - g2*t^7.06*y - 2*g2^4*t^7.25*y + (2*t^7.94*y)/g2 - g2^2*t^8.12*y + g2^5*t^8.31*y + (2*t^8.63*y)/g2^6 - g2^11*t^8.68*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 |
|---|---|---|---|---|---|---|---|---|
| 60767 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.3666 | 1.5946 | 0.857 | [X:[1.3509], M:[0.7547, 0.7547], q:[0.3435, 0.5887], qb:[0.6565, 0.3056], phi:[0.3509]] | t^2.11 + 2*t^2.26 + t^2.68 + 2*t^3. + t^3.16 + 3*t^4.05 + t^4.21 + 2*t^4.37 + 3*t^4.53 + 3*t^4.79 + t^4.86 + t^4.88 + t^4.95 + 3*t^5.11 + 4*t^5.26 + t^5.37 + 2*t^5.42 + t^5.62 + 2*t^5.68 + 2*t^5.84 + 3*t^5.91 + t^5.93 - 2*t^6. - t^4.05/y - t^5.11/y - t^4.05*y - t^5.11*y | detail | |
| 60686 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.341 | 1.552 | 0.864 | [X:[1.3442], M:[0.7209], q:[0.3659, 0.645], qb:[0.6341, 0.2899], phi:[0.3442]] | t^2.07 + t^2.16 + t^2.8 + 2*t^3. + t^3.1 + t^3.84 + 3*t^4.03 + t^4.13 + t^4.23 + t^4.33 + t^4.67 + 3*t^4.87 + 3*t^5.07 + 3*t^5.16 + t^5.26 + t^5.61 + 3*t^5.71 + 2*t^5.8 + 3*t^5.9 - t^4.03/y - t^5.07/y - t^4.03*y - t^5.07*y | detail | |
| 60712 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.2714 | 1.4808 | 0.8586 | [X:[1.3375], M:[0.6873], q:[0.4499, 0.7627], qb:[0.5501, 0.2126], phi:[0.3375]] | t^2.02 + t^2.06 + t^2.93 + 2*t^3. + t^3.04 + 2*t^3.94 + 3*t^4.01 + t^4.05 + t^4.09 + t^4.12 + 6*t^4.95 + 3*t^5.02 + 2*t^5.06 + t^5.1 + t^5.85 + 2*t^5.93 + 6*t^5.96 - t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
| 60718 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.2713 | 1.4804 | 0.8587 | [X:[1.3365], M:[0.6824], q:[0.2212, 0.5387], qb:[0.7788, 0.4423], phi:[0.3365]] | t^2.02 + t^2.05 + t^2.94 + 2*t^3. + t^3.03 + 2*t^3.95 + 3*t^4.01 + t^4.04 + t^4.07 + t^4.09 + t^4.91 + 4*t^4.96 + 4*t^5.02 + 2*t^5.05 + t^5.08 + t^5.89 + t^5.91 + t^5.94 + 5*t^5.97 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
| 59435 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.3477 | 1.5611 | 0.8633 | [X:[1.3536], M:[0.7679], q:[0.3536, 0.5857], qb:[0.6464, 0.2928], phi:[0.3536]] | t^2.12 + t^2.3 + t^2.64 + 2*t^3. + t^3.18 + t^3.7 + 3*t^4.06 + t^4.24 + t^4.43 + t^4.61 + 4*t^4.76 + t^4.94 + 3*t^5.12 + t^5.27 + 2*t^5.3 + t^5.49 + 3*t^5.64 + 6*t^5.82 - t^4.06/y - t^5.12/y - t^4.06*y - t^5.12*y | detail | |
| 59370 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3473 | 1.5605 | 0.8634 | [X:[1.3528], M:[0.7642], q:[0.3333, 0.5691], qb:[0.6667, 0.3138], phi:[0.3528]] | t^2.12 + t^2.29 + t^2.65 + 2*t^3. + t^3.18 + t^3.71 + 3*t^4.06 + t^4.23 + t^4.41 + t^4.59 + 4*t^4.77 + t^4.94 + 3*t^5.12 + 2*t^5.29 + t^5.3 + 2*t^5.47 + 2*t^5.65 + 4*t^5.82 + 2*t^6. - t^4.06/y - t^5.12/y - t^4.06*y - t^5.12*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47914 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4949 | 1.7247 | 0.8668 | [M:[0.6769], q:[0.5, 0.4939], qb:[0.5, 0.4939], phi:[0.3354]] | t^2.012 + t^2.031 + t^2.963 + 2*t^2.982 + t^3. + t^3.018 + 2*t^3.988 + t^4.006 + t^4.025 + t^4.043 + t^4.061 + 2*t^4.975 + 5*t^4.994 + 4*t^5.012 + 2*t^5.031 + t^5.049 + 2*t^5.469 + 2*t^5.488 + t^5.926 + 2*t^5.945 + 4*t^5.963 + t^5.982 + t^6. - t^4.006/y - t^5.012/y - t^4.006*y - t^5.012*y | detail |