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 |
|---|---|---|---|---|---|---|---|---|---|
| 47125 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ | 0.7089 | 0.8701 | 0.8148 | [M:[1.0, 1.0, 0.8961, 0.8961, 1.052, 0.948], q:[0.4221, 0.5779], qb:[0.5779, 0.526], phi:[0.474]] | [M:[[1, -3], [-1, 3], [-1, -1], [1, -7], [0, 2], [0, -2]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{2}^{2}$ | -3 | 2*t^2.688 + 2*t^2.844 + 2*t^3. + t^3.468 + t^3.954 + t^4.266 + 2*t^4.422 + t^4.578 + 2*t^4.734 + 3*t^4.89 + 3*t^5.377 + 2*t^5.532 + 6*t^5.688 + 2*t^5.844 - 3*t^6. + 2*t^6.643 + 2*t^6.799 + t^6.935 + 2*t^6.954 + 4*t^7.11 + 4*t^7.266 + 4*t^7.422 + 6*t^7.578 + 4*t^7.734 + 2*t^7.89 + t^7.909 - 3*t^8.046 + 4*t^8.065 + 3*t^8.221 + 3*t^8.357 + 8*t^8.377 + 6*t^8.532 - 2*t^8.688 - 3*t^8.844 - t^4.422/y - (2*t^7.11)/y - t^7.266/y + t^7.578/y + (2*t^7.734)/y + t^8.377/y + (4*t^8.532)/y + (5*t^8.688)/y + (4*t^8.844)/y - t^4.422*y - 2*t^7.11*y - t^7.266*y + t^7.578*y + 2*t^7.734*y + t^8.377*y + 4*t^8.532*y + 5*t^8.688*y + 4*t^8.844*y | (g1*t^2.688)/g2^7 + t^2.688/(g1*g2) + (2*t^2.844)/g2^2 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^6*t^3.468 + t^3.954/g2^7 + t^4.266/g2^3 + (g1*t^4.422)/g2^4 + (g2^2*t^4.422)/g1 + g2*t^4.578 + g1*t^4.734 + (g2^6*t^4.734)/g1 + (g1^2*t^4.89)/g2 + g2^5*t^4.89 + (g2^11*t^4.89)/g1^2 + (g1^2*t^5.377)/g2^14 + t^5.377/g2^8 + t^5.377/(g1^2*g2^2) + (g1*t^5.532)/g2^9 + t^5.532/(g1*g2^3) + (g1^2*t^5.688)/g2^10 + (4*t^5.688)/g2^4 + (g2^2*t^5.688)/g1^2 + (g1*t^5.844)/g2^5 + (g2*t^5.844)/g1 - 3*t^6. + (g1*t^6.643)/g2^14 + t^6.643/(g1*g2^8) + (2*t^6.799)/g2^9 + g2^12*t^6.935 + (g1*t^6.954)/g2^10 + t^6.954/(g1*g2^4) + (g1^2*t^7.11)/g2^11 + (2*t^7.11)/g2^5 + (g2*t^7.11)/g1^2 + (2*t^7.266)/g1 + (2*g1*t^7.266)/g2^6 + (g1^2*t^7.422)/g2^7 + (2*t^7.422)/g2 + (g2^5*t^7.422)/g1^2 + (g1^3*t^7.578)/g2^8 + (2*g1*t^7.578)/g2^2 + (2*g2^4*t^7.578)/g1 + (g2^10*t^7.578)/g1^3 + (2*g1^2*t^7.734)/g2^3 + (2*g2^9*t^7.734)/g1^2 + (g1^3*t^7.89)/g2^4 + (g2^14*t^7.89)/g1^3 + t^7.909/g2^14 - g1^2*g2*t^8.046 - g2^7*t^8.046 - (g2^13*t^8.046)/g1^2 + (g1^3*t^8.065)/g2^21 + (g1*t^8.065)/g2^15 + t^8.065/(g1*g2^9) + t^8.065/(g1^3*g2^3) + (g1^2*t^8.221)/g2^16 + t^8.221/g2^10 + t^8.221/(g1^2*g2^4) + g1^2*g2^5*t^8.357 + g2^11*t^8.357 + (g2^17*t^8.357)/g1^2 + (g1^3*t^8.377)/g2^17 + (3*g1*t^8.377)/g2^11 + (3*t^8.377)/(g1*g2^5) + (g2*t^8.377)/g1^3 + t^8.532/g1^2 + (g1^2*t^8.532)/g2^12 + (4*t^8.532)/g2^6 - (g1*t^8.688)/g2^7 - t^8.688/(g1*g2) + (g1^2*t^8.844)/g2^8 - (5*t^8.844)/g2^2 + (g2^4*t^8.844)/g1^2 - t^4.422/(g2*y) - (g1*t^7.11)/(g2^8*y) - t^7.11/(g1*g2^2*y) - t^7.266/(g2^3*y) + (g2*t^7.578)/y + (g1*t^7.734)/y + (g2^6*t^7.734)/(g1*y) + t^8.377/(g2^8*y) + (2*g1*t^8.532)/(g2^9*y) + (2*t^8.532)/(g1*g2^3*y) + (g1^2*t^8.688)/(g2^10*y) + (3*t^8.688)/(g2^4*y) + (g2^2*t^8.688)/(g1^2*y) + (2*g1*t^8.844)/(g2^5*y) + (2*g2*t^8.844)/(g1*y) - (t^4.422*y)/g2 - (g1*t^7.11*y)/g2^8 - (t^7.11*y)/(g1*g2^2) - (t^7.266*y)/g2^3 + g2*t^7.578*y + g1*t^7.734*y + (g2^6*t^7.734*y)/g1 + (t^8.377*y)/g2^8 + (2*g1*t^8.532*y)/g2^9 + (2*t^8.532*y)/(g1*g2^3) + (g1^2*t^8.688*y)/g2^10 + (3*t^8.688*y)/g2^4 + (g2^2*t^8.688*y)/g1^2 + (2*g1*t^8.844*y)/g2^5 + (2*g2*t^8.844*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 52900 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6967 | 0.8544 | 0.8154 | [M:[0.9525, 1.0475, 1.0158, 0.9209, 1.0158, 0.9842], q:[0.4763, 0.5712], qb:[0.4763, 0.5079], phi:[0.4921]] | t^2.763 + t^2.858 + 2*t^2.953 + t^3.047 + 2*t^3.142 + 3*t^4.334 + 2*t^4.429 + t^4.524 + 2*t^4.619 + t^4.714 + t^4.903 + t^5.525 + t^5.62 + t^5.715 + 2*t^5.81 + 4*t^5.905 - 2*t^6. - t^4.476/y - t^4.476*y | detail | |
| 50976 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}^{2}$ | 0.7001 | 0.8588 | 0.8152 | [M:[0.9479, 1.0521, 1.0, 0.8957, 1.0261, 0.9739], q:[0.4609, 0.5912], qb:[0.487, 0.513], phi:[0.487]] | t^2.687 + t^2.844 + 2*t^2.922 + t^3. + t^3.156 + t^3.235 + t^4.226 + t^4.304 + 2*t^4.383 + t^4.461 + t^4.539 + t^4.617 + t^4.696 + t^4.774 + t^5.008 + t^5.374 + t^5.531 + t^5.609 + t^5.687 + t^5.765 + 4*t^5.844 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*y | detail | |
| 55470 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7297 | 0.9109 | 0.8011 | [M:[1.0, 1.0, 0.899, 0.899, 1.0505, 0.9495, 0.6767], q:[0.4243, 0.5757], qb:[0.5757, 0.5252], phi:[0.4748]] | t^2.03 + 2*t^2.697 + 2*t^2.849 + 2*t^3. + t^3.454 + t^4.06 + t^4.273 + 2*t^4.424 + t^4.576 + 4*t^4.727 + 5*t^4.879 + 2*t^5.03 + 3*t^5.394 + t^5.485 + 2*t^5.546 + 6*t^5.697 + 2*t^5.849 - 3*t^6. - t^4.424/y - t^4.424*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46615 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7171 | 0.8807 | 0.8142 | [M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.4607, 0.6179], qb:[0.6179, 0.4607], phi:[0.4607]] | 6*t^2.764 + t^3.707 + 3*t^4.146 + 4*t^4.618 + 3*t^5.09 + 17*t^5.528 - 8*t^6. - t^4.382/y - t^4.382*y | detail |