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 |
|---|---|---|---|---|---|---|---|---|---|
| 583 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 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]] | [M:[[6, 6], [-2, -2], [-6, -6], [10, 10], [-2, -2]], 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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$ | ${}$ | -3 | 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^6.082 + t^6.088 + 2*t^6.094 + t^6.099 + t^6.105 + 2*t^6.187 + t^7.015 + t^7.103 + t^7.108 + t^7.19 + t^7.196 + t^7.284 + t^7.29 + t^7.295 + t^7.301 + t^7.377 + t^7.383 + t^7.389 + t^7.465 + 2*t^7.471 + t^7.477 + t^7.558 + t^7.564 + t^7.576 + t^7.582 + t^7.652 + t^7.658 + t^7.664 + t^7.67 + t^7.751 + t^7.757 + t^7.851 + t^7.857 + t^7.863 + t^7.95 + t^8.299 + t^8.392 + t^8.497 + 2*t^8.579 + t^8.585 + 3*t^8.673 + t^8.76 - 2*t^8.766 - t^8.772 + t^8.778 + t^8.848 - t^8.86 + t^8.866 + t^8.941 - t^8.947 + 2*t^8.953 - t^4.477/y - t^7.243/y + t^7.43/y - t^7.523/y + t^7.71/y + t^8.626/y + t^8.807/y + (2*t^8.813)/y + t^8.819/y + t^8.901/y + (3*t^8.906)/y + t^8.912/y - t^4.477*y - t^7.243*y + t^7.43*y - t^7.523*y + t^7.71*y + t^8.626*y + t^8.807*y + 2*t^8.813*y + t^8.819*y + t^8.901*y + 3*t^8.906*y + t^8.912*y | g1^10*g2^10*t^2.766 + g1^6*g2^6*t^2.86 + g1^4*g2^8*t^3.041 + (2*t^3.047)/(g1^2*g2^2) + t^3.053/(g1^8*g2^12) + t^3.14/(g1^6*g2^6) + g1^5*g2*t^4.249 + g1^7*g2^7*t^4.336 + g1^9*g2^13*t^4.424 + g1^3*g2^3*t^4.43 + g1^5*g2^9*t^4.517 + t^4.529/(g1^7*g2^11) + g1*g2^5*t^4.611 + t^4.617/(g1^5*g2^5) + t^4.71/(g1^9*g2^9) + t^4.81/(g1^19*g2^23) + g1^20*g2^20*t^5.532 + g1^16*g2^16*t^5.626 + 2*g1^8*g2^8*t^5.813 + 2*g1^4*g2^4*t^5.906 - 3*t^6. + g1^8*g2^16*t^6.082 + g1^2*g2^6*t^6.088 + (2*t^6.094)/(g1^4*g2^4) + t^6.099/(g1^10*g2^14) + t^6.105/(g1^16*g2^24) + (2*t^6.187)/(g1^8*g2^8) + g1^15*g2^11*t^7.015 + g1^17*g2^17*t^7.103 + g1^11*g2^7*t^7.108 + g1^19*g2^23*t^7.19 + g1^13*g2^13*t^7.196 + g1^15*g2^19*t^7.284 + g1^9*g2^9*t^7.29 + (g1^3*t^7.295)/g2 + t^7.301/(g1^3*g2^11) + g1^11*g2^15*t^7.377 + g1^5*g2^5*t^7.383 + t^7.389/(g1*g2^5) + g1^13*g2^21*t^7.465 + 2*g1^7*g2^11*t^7.471 + g1*g2*t^7.477 + g1^9*g2^17*t^7.558 + g1^3*g2^7*t^7.564 + t^7.576/(g1^9*g2^13) + t^7.582/(g1^15*g2^23) + g1^5*g2^13*t^7.652 + (g2^3*t^7.658)/g1 + t^7.664/(g1^7*g2^7) + t^7.67/(g1^13*g2^17) + t^7.751/(g1^5*g2) + t^7.757/(g1^11*g2^11) + t^7.851/(g1^15*g2^15) + t^7.857/(g1^21*g2^25) + t^7.863/(g1^27*g2^35) + t^7.95/(g1^25*g2^29) + g1^30*g2^30*t^8.299 + g1^26*g2^26*t^8.392 + g1^10*g2^2*t^8.497 + 2*g1^18*g2^18*t^8.579 + g1^12*g2^8*t^8.585 + 3*g1^14*g2^14*t^8.673 + g1^16*g2^20*t^8.76 - 2*g1^10*g2^10*t^8.766 - g1^4*t^8.772 + t^8.778/(g1^2*g2^10) + g1^18*g2^26*t^8.848 - g1^6*g2^6*t^8.86 + t^8.866/g2^4 + g1^14*g2^22*t^8.941 - g1^8*g2^12*t^8.947 + 2*g1^2*g2^2*t^8.953 - (g1*g2*t^4.477)/y - (g1^11*g2^11*t^7.243)/y + (g1^3*g2^3*t^7.43)/y - t^7.523/(g1*g2*y) + t^7.71/(g1^9*g2^9*y) + (g1^16*g2^16*t^8.626)/y + (g1^14*g2^18*t^8.807)/y + (2*g1^8*g2^8*t^8.813)/y + (g1^2*t^8.819)/(g2^2*y) + (g1^10*g2^14*t^8.901)/y + (3*g1^4*g2^4*t^8.906)/y + t^8.912/(g1^2*g2^6*y) - g1*g2*t^4.477*y - g1^11*g2^11*t^7.243*y + g1^3*g2^3*t^7.43*y - (t^7.523*y)/(g1*g2) + (t^7.71*y)/(g1^9*g2^9) + g1^16*g2^16*t^8.626*y + g1^14*g2^18*t^8.807*y + 2*g1^8*g2^8*t^8.813*y + (g1^2*t^8.819*y)/g2^2 + g1^10*g2^14*t^8.901*y + 3*g1^4*g2^4*t^8.906*y + (t^8.912*y)/(g1^2*g2^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 1931 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6552 | 0.8131 | 0.8058 | [M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | t^2.19 + t^2.514 + t^2.715 + 2*t^3.162 + t^3.486 + t^3.609 + t^3.81 + t^3.933 + t^4.056 + t^4.134 + t^4.257 + t^4.38 + t^4.458 + t^4.704 + t^4.905 + t^5.028 + t^5.229 + 2*t^5.352 + t^5.43 + 2*t^5.676 + t^5.877 - t^6. - t^4.419/y - t^4.419*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.473/y - t^4.473*y | detail |