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 |
|---|---|---|---|---|---|---|---|---|---|
| 366 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6975 | 0.8554 | 0.8154 | [M:[0.9458, 1.0181, 1.0542, 0.9096], q:[0.4896, 0.5646], qb:[0.4562, 0.5258], phi:[0.491]] | [M:[[6, 6], [-2, -2], [-6, -6], [10, 10]], q:[[4, 6], [-10, -12]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.729 + t^2.837 + t^2.946 + t^3.046 + t^3.054 + t^3.062 + t^3.163 + t^4.21 + t^4.31 + t^4.411 + t^4.419 + t^4.519 + t^4.535 + t^4.628 + t^4.636 + t^4.744 + t^4.86 + t^5.458 + t^5.566 + t^5.675 + 2*t^5.783 + 2*t^5.892 + t^5.992 - 2*t^6. + t^6.008 + t^6.092 + t^6.108 + t^6.124 + t^6.217 + t^6.939 + t^7.039 + t^7.047 + t^7.14 + t^7.148 + t^7.156 + t^7.248 + 2*t^7.256 + t^7.272 + 2*t^7.356 + t^7.364 + t^7.372 + t^7.457 + 2*t^7.465 + t^7.481 + t^7.565 + t^7.573 + t^7.581 + t^7.597 + t^7.674 + t^7.69 + t^7.698 + t^7.79 + t^7.806 + t^7.907 + t^7.923 + t^8.023 + t^8.187 + t^8.295 + t^8.404 + t^8.42 + 2*t^8.512 + t^8.52 + 3*t^8.621 + t^8.721 - t^8.737 + t^8.745 + t^8.821 - t^8.837 + t^8.845 + t^8.93 - 2*t^8.946 + t^8.954 - t^4.473/y - t^7.202/y + t^7.744/y + t^8.566/y + t^8.675/y + t^8.775/y + (2*t^8.783)/y + t^8.791/y + t^8.884/y + (2*t^8.892)/y + t^8.9/y + t^8.992/y - t^4.473*y - t^7.202*y + t^7.744*y + t^8.566*y + t^8.675*y + t^8.775*y + 2*t^8.783*y + t^8.791*y + t^8.884*y + 2*t^8.892*y + t^8.9*y + t^8.992*y | g1^10*g2^10*t^2.729 + g1^6*g2^6*t^2.837 + g1^2*g2^2*t^2.946 + g1^4*g2^8*t^3.046 + t^3.054/(g1^2*g2^2) + t^3.062/(g1^8*g2^12) + t^3.163/(g1^6*g2^6) + g1^5*g2*t^4.21 + g1^7*g2^7*t^4.31 + g1^9*g2^13*t^4.411 + g1^3*g2^3*t^4.419 + g1^5*g2^9*t^4.519 + t^4.535/(g1^7*g2^11) + g1*g2^5*t^4.628 + t^4.636/(g1^5*g2^5) + t^4.744/(g1^9*g2^9) + t^4.86/(g1^19*g2^23) + g1^20*g2^20*t^5.458 + g1^16*g2^16*t^5.566 + g1^12*g2^12*t^5.675 + 2*g1^8*g2^8*t^5.783 + 2*g1^4*g2^4*t^5.892 + g1^6*g2^10*t^5.992 - 2*t^6. + t^6.008/(g1^6*g2^10) + g1^8*g2^16*t^6.092 + t^6.108/(g1^4*g2^4) + t^6.124/(g1^16*g2^24) + t^6.217/(g1^8*g2^8) + g1^15*g2^11*t^6.939 + g1^17*g2^17*t^7.039 + g1^11*g2^7*t^7.047 + g1^19*g2^23*t^7.14 + g1^13*g2^13*t^7.148 + g1^7*g2^3*t^7.156 + g1^15*g2^19*t^7.248 + 2*g1^9*g2^9*t^7.256 + t^7.272/(g1^3*g2^11) + 2*g1^11*g2^15*t^7.356 + g1^5*g2^5*t^7.364 + t^7.372/(g1*g2^5) + g1^13*g2^21*t^7.457 + 2*g1^7*g2^11*t^7.465 + t^7.481/(g1^5*g2^9) + g1^9*g2^17*t^7.565 + g1^3*g2^7*t^7.573 + t^7.581/(g1^3*g2^3) + t^7.597/(g1^15*g2^23) + g1^5*g2^13*t^7.674 + t^7.69/(g1^7*g2^7) + t^7.698/(g1^13*g2^17) + t^7.79/(g1^5*g2) + t^7.806/(g1^17*g2^21) + t^7.907/(g1^15*g2^15) + t^7.923/(g1^27*g2^35) + t^8.023/(g1^25*g2^29) + g1^30*g2^30*t^8.187 + g1^26*g2^26*t^8.295 + g1^22*g2^22*t^8.404 + g1^10*g2^2*t^8.42 + 2*g1^18*g2^18*t^8.512 + g1^12*g2^8*t^8.52 + 3*g1^14*g2^14*t^8.621 + g1^16*g2^20*t^8.721 - g1^4*t^8.737 + t^8.745/(g1^2*g2^10) + g1^18*g2^26*t^8.821 - g1^6*g2^6*t^8.837 + t^8.845/g2^4 + g1^14*g2^22*t^8.93 - 2*g1^2*g2^2*t^8.946 + t^8.954/(g1^4*g2^8) - (g1*g2*t^4.473)/y - (g1^11*g2^11*t^7.202)/y + t^7.744/(g1^9*g2^9*y) + (g1^16*g2^16*t^8.566)/y + (g1^12*g2^12*t^8.675)/y + (g1^14*g2^18*t^8.775)/y + (2*g1^8*g2^8*t^8.783)/y + (g1^2*t^8.791)/(g2^2*y) + (g1^10*g2^14*t^8.884)/y + (2*g1^4*g2^4*t^8.892)/y + t^8.9/(g1^2*g2^6*y) + (g1^6*g2^10*t^8.992)/y - g1*g2*t^4.473*y - g1^11*g2^11*t^7.202*y + (t^7.744*y)/(g1^9*g2^9) + g1^16*g2^16*t^8.566*y + g1^12*g2^12*t^8.675*y + g1^14*g2^18*t^8.775*y + 2*g1^8*g2^8*t^8.783*y + (g1^2*t^8.791*y)/g2^2 + g1^10*g2^14*t^8.884*y + 2*g1^4*g2^4*t^8.892*y + (t^8.9*y)/(g1^2*g2^6) + g1^6*g2^10*t^8.992*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 |
|---|---|---|---|---|---|---|---|---|
| 584 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6993 | 0.8588 | 0.8143 | [M:[0.9384, 1.0205, 1.0616, 0.8973, 0.9795], q:[0.488, 0.5736], qb:[0.4504, 0.5291], phi:[0.4897]] | t^2.692 + t^2.815 + 2*t^2.938 + t^3.051 + t^3.072 + t^3.185 + t^4.171 + t^4.284 + t^4.397 + t^4.408 + t^4.52 + t^4.541 + t^4.644 + t^4.654 + t^4.777 + t^4.911 + t^5.384 + t^5.507 + 2*t^5.63 + 2*t^5.754 + 3*t^5.877 + 2*t^5.99 - 3*t^6. - t^4.469/y - t^4.469*y | detail | |
| 583 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6959 | 0.8526 | 0.8162 | [M:[0.9532, 1.0156, 1.0468, 0.9221, 1.0156], q:[0.4912, 0.5555], qb:[0.462, 0.5224], phi:[0.4922]] | t^2.766 + t^2.86 + t^3.041 + 2*t^3.047 + t^3.053 + t^3.14 + t^4.249 + t^4.336 + t^4.424 + t^4.43 + t^4.517 + t^4.529 + t^4.611 + t^4.617 + t^4.71 + t^4.81 + t^5.532 + t^5.626 + 2*t^5.813 + 2*t^5.906 - 3*t^6. - t^4.477/y - t^4.477*y | detail | |
| 1826 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6603 | 0.8216 | 0.8036 | [M:[0.8359, 1.0547, 1.1641, 0.7265], q:[0.4004, 0.7637], qb:[0.4354, 0.5099], phi:[0.4726]] | t^2.179 + t^2.508 + t^2.731 + t^2.836 + t^3.164 + t^3.492 + t^3.597 + t^3.821 + t^3.926 + t^4.03 + t^4.149 + t^4.254 + t^4.359 + t^4.477 + t^4.687 + t^4.91 + 2*t^5.015 + t^5.239 + 2*t^5.343 + t^5.462 + t^5.567 + 2*t^5.672 - t^4.418/y - t^4.418*y | detail | |
| 1823 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5522 | 0.713 | 0.7744 | [M:[0.8536, 1.0488, 1.1464, 0.756], q:[0.6646, 0.4818], qb:[0.189, 0.7622], phi:[0.4756]] | t^2.012 + t^2.268 + 2*t^2.561 + t^2.854 + t^3.146 + 2*t^3.439 + t^3.988 + t^4.025 + 2*t^4.28 + t^4.318 + t^4.536 + t^4.573 + 2*t^4.829 + 2*t^4.866 + 3*t^5.122 + t^5.159 + 4*t^5.414 + t^5.452 + 3*t^5.707 + t^6. - t^4.427/y - t^4.427*y | detail | |
| 581 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 0.6975 | 0.8554 | 0.8154 | [M:[0.9459, 1.018, 1.0541, 0.9098], q:[0.491, 0.5631], qb:[0.4549, 0.5271], phi:[0.491]] | t^2.729 + t^2.838 + t^2.946 + 3*t^3.054 + t^3.162 + t^4.202 + t^4.311 + 2*t^4.419 + 2*t^4.527 + 2*t^4.635 + t^4.743 + t^4.852 + t^5.459 + t^5.567 + t^5.675 + 2*t^5.784 + 2*t^5.892 - t^4.473/y - t^4.473*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 |
|---|---|---|---|---|---|---|---|---|---|
| 228 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7272 | 0.8931 | 0.8142 | [M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. - t^4.345/y - t^4.345*y | detail |