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 |
|---|---|---|---|---|---|---|---|---|---|
| 557 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.617 | 0.7991 | 0.7722 | [M:[0.9565, 1.1304, 0.8696, 0.7391], q:[0.7391, 0.3043], qb:[0.4348, 0.4348], phi:[0.5217]] | [M:[[4], [-12], [12], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | -1 | 3*t^2.217 + t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.522 + t^3.783 + 3*t^4.174 + 6*t^4.435 + 3*t^4.826 + 3*t^5.087 + t^5.218 + 3*t^5.348 + t^5.478 + t^5.609 + 7*t^5.739 - t^6. + 2*t^6.131 + 8*t^6.391 + t^6.522 + 9*t^6.652 + t^6.782 + 3*t^6.783 - t^6.913 + 9*t^7.044 - t^7.174 + 6*t^7.304 + 3*t^7.435 + 2*t^7.565 + 7*t^7.696 + t^7.826 + 12*t^7.957 + t^8.087 - 8*t^8.217 + 12*t^8.348 - 2*t^8.478 + 11*t^8.609 + 3*t^8.739 + 7*t^8.87 - t^4.565/y - t^6.783/y + (3*t^7.435)/y + (3*t^7.826)/y + (3*t^8.087)/y + (4*t^8.348)/y + t^8.478/y + (3*t^8.609)/y + (7*t^8.739)/y - t^4.565*y - t^6.783*y + 3*t^7.435*y + 3*t^7.826*y + 3*t^8.087*y + 4*t^8.348*y + t^8.478*y + 3*t^8.609*y + 7*t^8.739*y | 3*g1*t^2.217 + g1^12*t^2.609 + g1^4*t^2.87 + t^3.13/g1^4 + t^3.391/g1^12 + 2*g1^7*t^3.522 + t^3.783/g1 + 3*g1^10*t^4.174 + 6*g1^2*t^4.435 + 3*g1^13*t^4.826 + 3*g1^5*t^5.087 + g1^24*t^5.218 + (3*t^5.348)/g1^3 + g1^16*t^5.478 + t^5.609/g1^11 + 7*g1^8*t^5.739 - t^6. + 2*g1^19*t^6.131 + 8*g1^11*t^6.391 + t^6.522/g1^16 + 9*g1^3*t^6.652 + t^6.782/g1^24 + 3*g1^22*t^6.783 - t^6.913/g1^5 + 9*g1^14*t^7.044 - t^7.174/g1^13 + 6*g1^6*t^7.304 + 3*g1^25*t^7.435 + (2*t^7.565)/g1^2 + 7*g1^17*t^7.696 + g1^36*t^7.826 + 12*g1^9*t^7.957 + g1^28*t^8.087 - 8*g1*t^8.217 + 12*g1^20*t^8.348 - (2*t^8.478)/g1^7 + 11*g1^12*t^8.609 + t^8.739/g1^15 + 2*g1^31*t^8.739 + 7*g1^4*t^8.87 - t^4.565/(g1^2*y) - t^6.783/(g1*y) + (3*g1^2*t^7.435)/y + (3*g1^13*t^7.826)/y + (3*g1^5*t^8.087)/y + (4*t^8.348)/(g1^3*y) + (g1^16*t^8.478)/y + (3*t^8.609)/(g1^11*y) + (7*g1^8*t^8.739)/y - (t^4.565*y)/g1^2 - (t^6.783*y)/g1 + 3*g1^2*t^7.435*y + 3*g1^13*t^7.826*y + 3*g1^5*t^8.087*y + (4*t^8.348*y)/g1^3 + g1^16*t^8.478*y + (3*t^8.609*y)/g1^11 + 7*g1^8*t^8.739*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 |
|---|---|---|---|---|---|---|---|---|
| 875 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{4}$ | 0.5278 | 0.6816 | 0.7743 | [M:[1.0769, 0.7692, 1.2308, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 4*t^2.308 + t^2.769 + t^3.231 + 2*t^3.692 + 2*t^4.154 + 8*t^4.615 + 7*t^5.077 + 3*t^5.538 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 2319/4394, c: 2995/4394, M1: 14/13, M2: 10/13, M3: 16/13, M4: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
| 873 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6365 | 0.835 | 0.7622 | [M:[0.9558, 1.1325, 0.8675, 0.739, 0.739], q:[0.739, 0.3052], qb:[0.4338, 0.4338], phi:[0.5221]] | 4*t^2.217 + t^2.603 + t^2.868 + t^3.132 + t^3.397 + 2*t^3.518 + 3*t^4.169 + 10*t^4.434 + 4*t^4.819 + 4*t^5.084 + t^5.205 + 4*t^5.349 + t^5.47 + 2*t^5.614 + 9*t^5.735 - 4*t^6. - t^4.566/y - t^4.566*y | detail | |
| 1903 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6324 | 0.8242 | 0.7672 | [M:[0.9651, 1.1046, 0.8954, 0.7413, 0.811], q:[0.7413, 0.2936], qb:[0.4477, 0.4477], phi:[0.5174]] | 3*t^2.224 + t^2.433 + t^2.686 + t^2.895 + t^3.105 + t^3.314 + t^3.567 + t^3.776 + 3*t^4.239 + 6*t^4.448 + 3*t^4.657 + t^4.866 + 3*t^4.91 + 4*t^5.119 + 4*t^5.328 + t^5.372 + 2*t^5.538 + t^5.582 + t^5.747 + 4*t^5.791 - t^4.552/y - t^4.552*y | detail | |
| 874 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.5976 | 0.7632 | 0.783 | [M:[0.9572, 1.1283, 0.8717, 0.7393, 1.2607], q:[0.7393, 0.3035], qb:[0.4358, 0.4358], phi:[0.5214]] | 2*t^2.218 + t^2.615 + t^2.872 + t^3.128 + t^3.385 + 2*t^3.525 + 2*t^3.782 + 3*t^4.179 + 3*t^4.436 + 2*t^4.833 + 2*t^5.09 + t^5.23 + 2*t^5.346 + t^5.487 + 5*t^5.743 - t^4.564/y - t^4.564*y | detail | |
| 872 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | 0.6021 | 0.7953 | 0.7571 | [M:[0.9091, 1.2727, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 4*t^2.182 + t^2.727 + 3*t^3.273 + 5*t^3.818 + 10*t^4.364 + 4*t^4.909 + 12*t^5.455 + 11*t^6. - t^4.636/y - t^4.636*y | detail | {a: 6411/10648, c: 2117/2662, M1: 10/11, M2: 14/11, M3: 8/11, M4: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 351 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^4.565/y - t^4.565*y | detail |