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 |
|---|---|---|---|---|---|---|---|---|---|
| 57429 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.1368 | 1.272 | 0.8937 | [X:[1.5384], M:[0.9232, 0.6831], q:[0.4215, 0.8923], qb:[0.4246, 0.8769], phi:[0.2308]] | [X:[[0, 0, 2]], M:[[0, 0, -4], [-1, 1, -1]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$ | -2 | t^2.049 + t^2.077 + t^2.538 + t^2.77 + t^3.895 + t^3.923 + t^4.099 + t^4.127 + t^4.154 + t^4.587 + 2*t^4.615 + t^4.819 + t^4.847 + t^5.076 + 2*t^5.308 + t^5.539 + 2*t^5.87 + 2*t^5.898 + t^5.944 + t^5.972 - 2*t^6. - t^6.028 + t^6.148 + t^6.176 + t^6.204 + t^6.232 + t^6.433 + t^6.461 + t^6.637 + 3*t^6.665 + 2*t^6.692 + t^6.868 + t^6.896 + t^6.924 + t^7.125 + 2*t^7.153 + t^7.357 + 2*t^7.385 - t^7.413 + t^7.589 + t^7.614 + t^7.616 + t^7.79 + t^7.818 + 2*t^7.846 + 2*t^7.92 + 2*t^7.948 + t^7.994 + t^8.022 - 2*t^8.049 + t^8.077 - t^8.105 + t^8.197 + t^8.225 + t^8.253 + t^8.281 + 2*t^8.309 + 2*t^8.408 + 2*t^8.436 + t^8.482 + 2*t^8.51 - 2*t^8.538 - t^8.566 + t^8.686 + 3*t^8.714 - 2*t^8.77 - t^8.797 + t^8.918 + t^8.945 + t^8.971 + t^8.973 + t^8.999 + t^8.077/y^2 - t^8.742/y^2 - t^8.77/y^2 - t^3.692/y - t^4.385/y - t^5.742/y - t^5.77/y - t^6.23/y - t^6.434/y - (2*t^6.462)/y + t^7.127/y - t^7.154/y + t^7.615/y - t^7.791/y - t^8.28/y + t^8.335/y - t^8.484/y - (2*t^8.511)/y - (2*t^8.539)/y - t^8.768/y + t^8.944/y + (2*t^8.972)/y - t^3.692*y - t^4.385*y - t^5.742*y - t^5.77*y - t^6.23*y - t^6.434*y - 2*t^6.462*y + t^7.127*y - t^7.154*y + t^7.615*y - t^7.791*y - t^8.28*y + t^8.335*y - t^8.484*y - 2*t^8.511*y - 2*t^8.539*y - t^8.768*y + t^8.944*y + 2*t^8.972*y + t^8.077*y^2 - t^8.742*y^2 - t^8.77*y^2 | (g2*t^2.049)/(g1*g3) + t^2.077/g3^3 + g3^5*t^2.538 + t^2.77/g3^4 + (g2*g3^5*t^3.895)/g1 + g3^3*t^3.923 + (g2^2*t^4.099)/(g1^2*g3^2) + (g2*t^4.127)/(g1*g3^4) + t^4.154/g3^6 + (g2*g3^4*t^4.587)/g1 + 2*g3^2*t^4.615 + (g2*t^4.819)/(g1*g3^5) + t^4.847/g3^7 + g3^10*t^5.076 + 2*g3*t^5.308 + t^5.539/g3^8 + (g1^2*g2*t^5.87)/g3 + (g3^12*t^5.87)/g1^3 + (g1^3*t^5.898)/g3^3 + (g3^10*t^5.898)/(g1^2*g2) + (g2^2*g3^4*t^5.944)/g1^2 + (g2*g3^2*t^5.972)/g1 - 2*t^6. - (g1*t^6.028)/(g2*g3^2) + (g2^3*t^6.148)/(g1^3*g3^3) + (g2^2*t^6.176)/(g1^2*g3^5) + (g2*t^6.204)/(g1*g3^7) + t^6.232/g3^9 + (g2*g3^10*t^6.433)/g1 + g3^8*t^6.461 + (g2^2*g3^3*t^6.637)/g1^2 + (3*g2*g3*t^6.665)/g1 + (2*t^6.692)/g3 + (g2^2*t^6.868)/(g1^2*g3^6) + (g2*t^6.896)/(g1*g3^8) + t^6.924/g3^10 + (g2*g3^9*t^7.125)/g1 + 2*g3^7*t^7.153 + (g2*t^7.357)/g1 + (2*t^7.385)/g3^2 - (g1*t^7.413)/(g2*g3^4) + (g2*t^7.589)/(g1*g3^9) + g3^15*t^7.614 + t^7.616/g3^11 + (g2^2*g3^10*t^7.79)/g1^2 + (g2*g3^8*t^7.818)/g1 + 2*g3^6*t^7.846 + (g1*g2^2*t^7.92)/g3^2 + (g2*g3^11*t^7.92)/g1^4 + (g1^2*g2*t^7.948)/g3^4 + (g3^9*t^7.948)/g1^3 + (g2^3*g3^3*t^7.994)/g1^3 + (g2^2*g3*t^8.022)/g1^2 - (2*g2*t^8.049)/(g1*g3) + t^8.077/g3^3 - (g1*t^8.105)/(g2*g3^5) + (g2^4*t^8.197)/(g1^4*g3^4) + (g2^3*t^8.225)/(g1^3*g3^6) + (g2^2*t^8.253)/(g1^2*g3^8) + (g2*t^8.281)/(g1*g3^10) + (2*t^8.309)/g3^12 + g1^2*g2*g3^4*t^8.408 + (g3^17*t^8.408)/g1^3 + g1^3*g3^2*t^8.436 + (g3^15*t^8.436)/(g1^2*g2) + (g2^2*g3^9*t^8.482)/g1^2 + (2*g2*g3^7*t^8.51)/g1 - 2*g3^5*t^8.538 - (g1*g3^3*t^8.566)/g2 + (g2^3*g3^2*t^8.686)/g1^3 + (3*g2^2*t^8.714)/g1^2 - (2*t^8.77)/g3^4 - (g1*t^8.797)/(g2*g3^6) + (g2^3*t^8.918)/(g1^3*g3^7) + (g2^2*t^8.945)/(g1^2*g3^9) + (g2*g3^15*t^8.971)/g1 + (g2*t^8.973)/(g1*g3^11) + g3^13*t^8.999 + t^8.077/(g3^3*y^2) - (g2*t^8.742)/(g1*g3^2*y^2) - t^8.77/(g3^4*y^2) - t^3.692/(g3*y) - t^4.385/(g3^2*y) - (g2*t^5.742)/(g1*g3^2*y) - t^5.77/(g3^4*y) - (g3^4*t^6.23)/y - (g2*t^6.434)/(g1*g3^3*y) - (2*t^6.462)/(g3^5*y) + (g2*t^7.127)/(g1*g3^4*y) - t^7.154/(g3^6*y) + (g3^2*t^7.615)/y - (g2^2*t^7.791)/(g1^2*g3^3*y) - (g2*g3^3*t^8.28)/(g1*y) + (g1*t^8.335)/(g2*g3*y) - (g2^2*t^8.484)/(g1^2*g3^4*y) - (2*g2*t^8.511)/(g1*g3^6*y) - (2*t^8.539)/(g3^8*y) - (g3^9*t^8.768)/y + (g2^2*g3^4*t^8.944)/(g1^2*y) + (2*g2*g3^2*t^8.972)/(g1*y) - (t^3.692*y)/g3 - (t^4.385*y)/g3^2 - (g2*t^5.742*y)/(g1*g3^2) - (t^5.77*y)/g3^4 - g3^4*t^6.23*y - (g2*t^6.434*y)/(g1*g3^3) - (2*t^6.462*y)/g3^5 + (g2*t^7.127*y)/(g1*g3^4) - (t^7.154*y)/g3^6 + g3^2*t^7.615*y - (g2^2*t^7.791*y)/(g1^2*g3^3) - (g2*g3^3*t^8.28*y)/g1 + (g1*t^8.335*y)/(g2*g3) - (g2^2*t^8.484*y)/(g1^2*g3^4) - (2*g2*t^8.511*y)/(g1*g3^6) - (2*t^8.539*y)/g3^8 - g3^9*t^8.768*y + (g2^2*g3^4*t^8.944*y)/g1^2 + (2*g2*g3^2*t^8.972*y)/g1 + (t^8.077*y^2)/g3^3 - (g2*t^8.742*y^2)/(g1*g3^2) - (t^8.77*y^2)/g3^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60568 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ | 1.0839 | 1.2193 | 0.889 | [X:[1.4723], M:[1.0553, 0.9447], q:[0.3659, 0.7405], qb:[0.3149, 0.9957], phi:[0.2638]] | t^2.04 + t^2.37 + t^2.83 + t^3.17 + t^3.63 + 2*t^4.08 + 2*t^4.42 + t^4.75 + t^4.88 + 5*t^5.21 + 4*t^5.67 - t^6. - t^3.79/y - t^4.58/y - t^5.83/y - t^3.79*y - t^4.58*y - t^5.83*y | detail | |
| 58726 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 1.1278 | 1.2701 | 0.8879 | [X:[1.5], M:[1.0, 0.7226], q:[0.3704, 0.8978], qb:[0.3796, 0.8522], phi:[0.25]] | t^2.17 + 2*t^2.25 + t^3. + t^3.67 + t^3.75 + t^4.34 + 2*t^4.42 + 4*t^4.5 + t^5.17 + 3*t^5.25 + 2*t^5.58 + 2*t^5.67 + t^5.84 + 2*t^5.92 - t^3.75/y - t^4.5/y - t^5.92/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - t^5.92*y - 2*t^6.*y | detail | |
| 60631 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0073 | 1.0807 | 0.932 | [X:[1.6082, 1.4122], M:[0.7837, 0.9796], q:[0.5755, 0.5755], qb:[0.4449, 1.2286], phi:[0.1959]] | t^2.35 + t^2.94 + t^3.06 + 2*t^4.24 + t^4.7 + t^5.29 + 3*t^5.41 + 2*t^5.77 + t^5.88 - 3*t^6. - t^3.59/y - t^4.18/y - t^5.94/y - t^3.59*y - t^4.18*y - t^5.94*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47904 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1161 | 1.2318 | 0.9061 | [X:[1.5372], M:[0.9256], q:[0.4215, 0.8843], qb:[0.4215, 0.8843], phi:[0.2314]] | t^2.083 + t^2.529 + t^2.777 + 3*t^3.917 + t^4.165 + 2*t^4.612 + t^4.859 + t^5.058 + 2*t^5.306 + t^5.553 + 4*t^5.876 - 2*t^6. - t^3.694/y - t^4.388/y - t^5.777/y - t^3.694*y - t^4.388*y - t^5.777*y | detail |