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 |
|---|---|---|---|---|---|---|---|---|---|
| 762 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5879 | 0.7303 | 0.805 | [X:[1.6557], M:[0.9671, 0.3443, 0.7545, 0.6886, 1.0329], q:[0.7215, 0.9342], qb:[0.3114, 0.6557], phi:[0.3443]] | [X:[[1]], M:[[3], [-1], [-8], [-2], [-3]], q:[[-5], [6]], qb:[[2], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.066 + t^2.263 + 2*t^2.901 + t^3.099 + 4*t^4.132 + 2*t^4.329 + t^4.527 + t^4.77 + 5*t^4.967 + 3*t^5.165 + t^5.362 + 2*t^5.802 - 2*t^6. + 5*t^6.198 + 4*t^6.395 + 2*t^6.593 + t^6.79 - t^6.835 + 7*t^7.033 + 6*t^7.23 + 3*t^7.428 + t^7.626 + t^7.671 + 2*t^7.868 - 4*t^8.066 + 5*t^8.263 + 5*t^8.461 + 4*t^8.658 + 2*t^8.856 - 8*t^8.901 - t^4.033/y - (2*t^6.099)/y - t^6.296/y + t^7.132/y + (2*t^7.329)/y + t^7.77/y + (6*t^7.967)/y + t^8.165/y - t^8.362/y - t^8.56/y + t^8.802/y - t^4.033*y - 2*t^6.099*y - t^6.296*y + t^7.132*y + 2*t^7.329*y + t^7.77*y + 6*t^7.967*y + t^8.165*y - t^8.362*y - t^8.56*y + t^8.802*y | (2*t^2.066)/g1^2 + t^2.263/g1^8 + 2*g1^3*t^2.901 + t^3.099/g1^3 + (4*t^4.132)/g1^4 + (2*t^4.329)/g1^10 + t^4.527/g1^16 + g1^7*t^4.77 + 5*g1*t^4.967 + (3*t^5.165)/g1^5 + t^5.362/g1^11 + 2*g1^6*t^5.802 - 2*t^6. + (5*t^6.198)/g1^6 + (4*t^6.395)/g1^12 + (2*t^6.593)/g1^18 + t^6.79/g1^24 - g1^5*t^6.835 + (7*t^7.033)/g1 + (6*t^7.23)/g1^7 + (3*t^7.428)/g1^13 + t^7.626/g1^19 + g1^10*t^7.671 + 2*g1^4*t^7.868 - (4*t^8.066)/g1^2 + (5*t^8.263)/g1^8 + (5*t^8.461)/g1^14 + (4*t^8.658)/g1^20 + (2*t^8.856)/g1^26 - 8*g1^3*t^8.901 - t^4.033/(g1*y) - (2*t^6.099)/(g1^3*y) - t^6.296/(g1^9*y) + t^7.132/(g1^4*y) + (2*t^7.329)/(g1^10*y) + (g1^7*t^7.77)/y + (6*g1*t^7.967)/y + t^8.165/(g1^5*y) - t^8.362/(g1^11*y) - t^8.56/(g1^17*y) + (g1^6*t^8.802)/y - (t^4.033*y)/g1 - (2*t^6.099*y)/g1^3 - (t^6.296*y)/g1^9 + (t^7.132*y)/g1^4 + (2*t^7.329*y)/g1^10 + g1^7*t^7.77*y + 6*g1*t^7.967*y + (t^8.165*y)/g1^5 - (t^8.362*y)/g1^11 - (t^8.56*y)/g1^17 + g1^6*t^8.802*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 |
|---|---|---|---|---|---|---|---|---|
| 1245 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.5915 | 0.7355 | 0.8042 | [X:[1.6519], M:[0.9557, 0.3481, 0.7848, 0.6962, 1.0443, 0.9557], q:[0.7405, 0.9114], qb:[0.3038, 0.6519], phi:[0.3481]] | 2*t^2.089 + t^2.354 + 3*t^2.867 + 4*t^4.177 + 2*t^4.443 + t^4.69 + t^4.709 + 7*t^4.956 + 2*t^5.221 + 5*t^5.734 - 4*t^6. - t^4.044/y - t^4.044*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 |
|---|---|---|---|---|---|---|---|---|---|
| 474 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ | 0.606 | 0.7574 | 0.8002 | [X:[1.4386], M:[1.0179, 0.5614, 0.736, 0.7718, 0.9821], q:[0.6661, 0.948], qb:[0.316, 0.5264], phi:[0.3859]] | t^2.208 + 2*t^2.315 + t^2.527 + t^2.946 + t^3.054 + t^3.577 + t^4.316 + t^4.416 + t^4.423 + 2*t^4.523 + 3*t^4.631 + t^4.735 + 3*t^4.842 + t^5.054 + t^5.154 + 2*t^5.262 + t^5.369 + t^5.473 + t^5.581 + t^5.785 + 2*t^5.893 - 2*t^6. - t^4.158/y - t^4.158*y | detail |