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 |
|---|---|---|---|---|---|---|---|---|---|
| 79494 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.4291 | 2.5709 | 0.9448 | [X:[], M:[0.8751, 0.7492, 0.8546], q:[0.6254, 0.6254], qb:[], phi:[], S:[0.5727, 0.5522], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -1, -1], [0, 6, 6], [0, -2, 0]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }S_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{2}S_{2}^{2}$, ${ }M_{3}S_{2}^{2}$ | ${}$ | -5 | t^2.248 + t^2.564 + t^2.625 + t^3.313 + t^4.495 + t^4.811 + t^4.873 + t^5.127 + t^5.189 + t^5.251 + 3*t^5.409 + 3*t^5.471 + t^5.56 + t^5.877 - 5*t^6. - t^6.062 + 2*t^6.626 + t^6.687 + t^6.743 + 2*t^6.749 + t^6.811 + t^6.873 + t^7.059 + t^7.065 + t^7.12 + 4*t^7.127 + t^7.189 + t^7.375 + t^7.437 + t^7.498 - t^7.656 + t^7.691 - t^7.718 + t^7.753 + t^7.808 + t^7.815 + t^7.876 + 3*t^7.973 + 3*t^8.034 + t^8.124 - 2*t^8.248 - t^8.309 + t^8.44 - 5*t^8.564 - 5*t^8.625 - t^8.687 + 6*t^8.722 + 10*t^8.784 + 7*t^8.845 + 2*t^8.873 + 3*t^8.907 + t^8.935 + t^8.99 + 2*t^8.997 - t^4.656/y - t^4.718/y - t^6.904/y - t^6.966/y - t^7.22/y - t^7.282/y + t^7.811/y + t^7.873/y - (2*t^7.969)/y - (2*t^8.031)/y - t^8.093/y - t^8.154/y + t^8.189/y + t^8.56/y + t^8.877/y + t^8.938/y - t^4.656*y - t^4.718*y - t^6.904*y - t^6.966*y - t^7.22*y - t^7.282*y + t^7.811*y + t^7.873*y - 2*t^7.969*y - 2*t^8.031*y - t^8.093*y - t^8.154*y + t^8.189*y + t^8.56*y + t^8.877*y + t^8.938*y | g2^6*g3^6*t^2.248 + t^2.564/g2^2 + t^2.625/(g2*g3) + g3^2*t^3.313 + g2^12*g3^12*t^4.495 + g2^4*g3^6*t^4.811 + g2^5*g3^5*t^4.873 + t^5.127/g2^4 + t^5.189/(g2^3*g3) + t^5.251/(g2^2*g3^2) + t^5.409/(g1^2*g2^12*g3^11) + t^5.409/(g2^6*g3^5) + g1^2*g3*t^5.409 + g1^2*g2*t^5.471 + t^5.471/(g1^2*g2^11*g3^12) + t^5.471/(g2^5*g3^6) + g2^6*g3^8*t^5.56 + (g3^2*t^5.877)/g2^2 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - g1^2*g2^6*g3^6*t^6. - (g2*t^6.062)/g3 + 2*g3^4*t^6.626 + g2*g3^3*t^6.687 + g2^18*g3^18*t^6.743 + 2*g2^2*g3^2*t^6.749 + g2^3*g3*t^6.811 + g2^4*t^6.873 + g2^10*g3^12*t^7.059 + t^7.065/(g2^6*g3^4) + g2^11*g3^11*t^7.12 + t^7.127/(g1^2*g2^11*g3^11) + (2*t^7.127)/(g2^5*g3^5) + g1^2*g2*g3*t^7.127 + t^7.189/(g2^4*g3^6) + g2^2*g3^6*t^7.375 + g2^3*g3^5*t^7.437 + g2^4*g3^4*t^7.498 - g3*t^7.656 + t^7.691/g2^6 - g2*t^7.718 + t^7.753/(g2^5*g3) + g2^12*g3^14*t^7.808 + t^7.815/(g2^4*g3^2) + t^7.876/(g2^3*g3^3) + t^7.973/(g1^2*g2^14*g3^11) + t^7.973/(g2^8*g3^5) + (g1^2*g3*t^7.973)/g2^2 + (g1^2*t^8.034)/g2 + t^8.034/(g1^2*g2^13*g3^12) + t^8.034/(g2^7*g3^6) + g2^4*g3^8*t^8.124 - 2*g2^6*g3^6*t^8.248 - g2^7*g3^5*t^8.309 + (g3^2*t^8.44)/g2^4 - (3*t^8.564)/g2^2 - t^8.564/(g1^2*g2^8*g3^6) - g1^2*g2^4*g3^6*t^8.564 - t^8.625/(g1^2*g2^7*g3^7) - (3*t^8.625)/(g2*g3) - g1^2*g2^5*g3^5*t^8.625 - t^8.687/g3^2 + (2*t^8.722)/(g1^2*g2^12*g3^9) + (2*t^8.722)/(g2^6*g3^3) + 2*g1^2*g3^3*t^8.722 + (3*t^8.784)/(g1^2*g2^11*g3^10) + (4*t^8.784)/(g2^5*g3^4) + 3*g1^2*g2*g3^2*t^8.784 + (2*t^8.845)/(g1^2*g2^10*g3^11) + (3*t^8.845)/(g2^4*g3^5) + 2*g1^2*g2^2*g3*t^8.845 + 2*g2^6*g3^10*t^8.873 + g1^2*g2^3*t^8.907 + t^8.907/(g1^2*g2^9*g3^12) + t^8.907/(g2^3*g3^6) + g2^7*g3^9*t^8.935 + g2^24*g3^24*t^8.99 + 2*g2^8*g3^8*t^8.997 - (g3*t^4.656)/y - (g2*t^4.718)/y - (g2^6*g3^7*t^6.904)/y - (g2^7*g3^6*t^6.966)/y - (g3*t^7.22)/(g2^2*y) - t^7.282/(g2*y) + (g2^4*g3^6*t^7.811)/y + (g2^5*g3^5*t^7.873)/y - (2*g3^3*t^7.969)/y - (2*g2*g3^2*t^8.031)/y - (g2^2*g3*t^8.093)/y - (g2^3*t^8.154)/y + t^8.189/(g2^3*g3*y) + (g2^6*g3^8*t^8.56)/y + (g3^2*t^8.877)/(g2^2*y) + (g3*t^8.938)/(g2*y) - g3*t^4.656*y - g2*t^4.718*y - g2^6*g3^7*t^6.904*y - g2^7*g3^6*t^6.966*y - (g3*t^7.22*y)/g2^2 - (t^7.282*y)/g2 + g2^4*g3^6*t^7.811*y + g2^5*g3^5*t^7.873*y - 2*g3^3*t^7.969*y - 2*g2*g3^2*t^8.031*y - g2^2*g3*t^8.093*y - g2^3*t^8.154*y + (t^8.189*y)/(g2^3*g3) + g2^6*g3^8*t^8.56*y + (g3^2*t^8.877*y)/g2^2 + (g3*t^8.938*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 79596 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{2}M_{3}$ | 2.3105 | 2.4713 | 0.9349 | [X:[], M:[0.8285, 1.0291, 0.9709], q:[0.4855, 0.4855], qb:[], phi:[], S:[0.5145, 0.657], Sb:[], A:[], Ab:[]] | t^2.485 + t^2.913 + t^3.087 + t^3.942 + 3*t^4.456 + 3*t^4.884 + t^4.971 + t^5.398 + t^5.826 - 3*t^6. - t^4.544/y - t^4.971/y - t^4.544*y - t^4.971*y | detail | |
| 79551 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{4}S_{2}^{2}$ | 2.4395 | 2.5887 | 0.9424 | [X:[], M:[0.8738, 0.757, 0.8738, 0.8738], q:[0.6215, 0.6215], qb:[], phi:[], S:[0.5631, 0.5631], Sb:[], A:[], Ab:[]] | t^2.271 + 3*t^2.622 + t^4.542 + 3*t^4.892 + 6*t^5.243 + 6*t^5.418 - 7*t^6. - (2*t^4.689)/y - 2*t^4.689*y | detail | |
| 79544 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }q_{1}^{2}S_{2}$ | 2.4152 | 2.5482 | 0.9478 | [X:[], M:[0.8877, 0.6737, 0.8839], q:[0.7229, 0.6034], qb:[], phi:[], S:[0.5581, 0.5542], Sb:[], A:[], Ab:[]] | t^2.021 + t^2.652 + t^2.663 + t^3.325 + t^4.042 + t^4.673 + t^4.684 + t^5.283 + t^5.295 + t^5.303 + t^5.315 + t^5.326 + t^5.346 + t^5.653 + t^5.977 - 2*t^6. - t^4.663/y - t^4.674/y - t^4.663*y - t^4.674*y | detail | |
| 79553 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.418 | 2.5537 | 0.9468 | [X:[], M:[0.8864, 0.6814, 0.8501], q:[0.606, 0.7125], qb:[], phi:[], S:[0.575, 0.5386], Sb:[], A:[], Ab:[]] | t^2.044 + t^2.55 + t^2.659 + t^3.232 + t^4.089 + t^4.595 + t^4.704 + t^5.1 + t^5.209 + t^5.252 + t^5.276 + t^5.319 + t^5.361 + t^5.571 + t^5.782 + t^5.891 - 2*t^6. - t^4.616/y - t^4.725/y - t^4.616*y - t^4.725*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 |
|---|---|---|---|---|---|---|---|---|---|
| 79486 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4171 | 2.5492 | 0.9482 | [X:[], M:[0.8763, 0.742], q:[0.629, 0.629], qb:[], phi:[], S:[0.5618, 0.5618], Sb:[], A:[], Ab:[]] | t^2.226 + t^2.629 + 2*t^3.371 + t^4.452 + t^4.855 + t^5.258 + 6*t^5.459 + 2*t^5.597 - 5*t^6. - (2*t^4.686)/y - 2*t^4.686*y | detail |