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 |
|---|---|---|---|---|---|---|---|---|---|
| 1331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ | 0.7046 | 0.8662 | 0.8135 | [M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]] | [M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, 4]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.593 + 2*t^2.796 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + t^4.652 + t^4.653 + t^4.855 + t^4.856 + t^4.857 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.796 + 2*t^5.898 + 2*t^5.999 - 3*t^6. + t^6.101 + t^6.102 - t^6.204 + t^6.305 + t^6.406 - 2*t^6.407 + t^6.635 + 3*t^6.839 + 4*t^7.042 + t^7.043 + 5*t^7.245 + t^7.246 + 5*t^7.449 + t^7.45 + 4*t^7.652 + t^7.653 + t^7.779 + 2*t^7.855 + t^7.857 + 2*t^7.983 + t^8.058 + t^8.085 + 3*t^8.186 + 2*t^8.288 + 4*t^8.389 - 2*t^8.39 + 4*t^8.491 + t^8.492 - 2*t^8.593 + 5*t^8.694 + t^8.695 - 6*t^8.796 - t^8.797 + 7*t^8.898 + t^8.899 + 2*t^8.999 - t^4.449/y - t^7.042/y - t^7.246/y + t^7.653/y + t^7.856/y + (2*t^8.39)/y + (3*t^8.593)/y + t^8.695/y + (3*t^8.796)/y + (2*t^8.797)/y + (2*t^8.898)/y + (2*t^8.999)/y - t^4.449*y - t^7.042*y - t^7.246*y + t^7.653*y + t^7.856*y + 2*t^8.39*y + 3*t^8.593*y + t^8.695*y + 3*t^8.796*y + 2*t^8.797*y + 2*t^8.898*y + 2*t^8.999*y | g1^8*t^2.593 + 2*g1^4*g2^4*t^2.796 + t^3./g2^8 + g2^8*t^3. + (g2^2*t^3.102)/g1^2 + (g2^12*t^3.203)/g1^4 + (g1^9*t^4.042)/g2 + g1^5*g2^3*t^4.246 + (g1*t^4.449)/g2^9 + 2*g1*g2^7*t^4.449 + (g2^11*t^4.652)/g1^3 + t^4.653/(g1^3*g2^5) + (g2^15*t^4.855)/g1^7 + t^4.856/(g1^7*g2) + t^4.857/(g1^7*g2^17) + g1^16*t^5.186 + 2*g1^12*g2^4*t^5.39 + 3*g1^8*g2^8*t^5.593 + g1^6*g2^2*t^5.695 + 2*g1^4*g2^12*t^5.796 + 2*g1^2*g2^6*t^5.898 + 2*g2^16*t^5.999 - 3*t^6. + (g2^10*t^6.101)/g1^2 + t^6.102/(g1^2*g2^6) - (g2^4*t^6.203)/g1^4 + (g2^20*t^6.203)/g1^4 - t^6.204/(g1^4*g2^12) + (g2^14*t^6.305)/g1^6 + (g2^24*t^6.406)/g1^8 - t^6.407/(g1^8*g2^8) - (g2^8*t^6.407)/g1^8 + (g1^17*t^6.635)/g2 + 3*g1^13*g2^3*t^6.839 + 4*g1^9*g2^7*t^7.042 + (g1^9*t^7.043)/g2^9 + 5*g1^5*g2^11*t^7.245 + (g1^5*t^7.246)/g2^5 + (g1*t^7.449)/g2 + 4*g1*g2^15*t^7.449 + (g1*t^7.45)/g2^17 + (4*g2^19*t^7.652)/g1^3 + t^7.653/(g1^3*g2^13) + g1^24*t^7.779 + (2*g2^23*t^7.855)/g1^7 + t^7.857/(g1^7*g2^25) + 2*g1^20*g2^4*t^7.983 + (g2^27*t^8.058)/g1^11 + (g1^18*t^8.085)/g2^2 + 3*g1^16*g2^8*t^8.186 + 2*g1^14*g2^2*t^8.288 + 4*g1^12*g2^12*t^8.389 - (2*g1^12*t^8.39)/g2^4 + 4*g1^10*g2^6*t^8.491 + (g1^10*t^8.492)/g2^10 - 5*g1^8*t^8.593 + 3*g1^8*g2^16*t^8.593 + 5*g1^6*g2^10*t^8.694 + (g1^6*t^8.695)/g2^6 - 9*g1^4*g2^4*t^8.796 + 3*g1^4*g2^20*t^8.796 - (g1^4*t^8.797)/g2^12 + (2*g1^2*t^8.898)/g2^2 + 5*g1^2*g2^14*t^8.898 + (g1^2*t^8.899)/g2^18 + 2*g2^24*t^8.999 - (g1*t^4.449)/(g2*y) - (g1^9*t^7.042)/(g2*y) - (g1^5*g2^3*t^7.246)/y + t^7.653/(g1^3*g2^5*y) + t^7.856/(g1^7*g2*y) + (2*g1^12*g2^4*t^8.39)/y + (g1^8*t^8.593)/(g2^8*y) + (2*g1^8*g2^8*t^8.593)/y + (g1^6*g2^2*t^8.695)/y + (3*g1^4*g2^12*t^8.796)/y + (2*g1^4*t^8.797)/(g2^4*y) + (2*g1^2*g2^6*t^8.898)/y + (2*g2^16*t^8.999)/y - (g1*t^4.449*y)/g2 - (g1^9*t^7.042*y)/g2 - g1^5*g2^3*t^7.246*y + (t^7.653*y)/(g1^3*g2^5) + (t^7.856*y)/(g1^7*g2) + 2*g1^12*g2^4*t^8.39*y + (g1^8*t^8.593*y)/g2^8 + 2*g1^8*g2^8*t^8.593*y + g1^6*g2^2*t^8.695*y + 3*g1^4*g2^12*t^8.796*y + (2*g1^4*t^8.797*y)/g2^4 + 2*g1^2*g2^6*t^8.898*y + 2*g2^16*t^8.999*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 |
|---|---|---|---|---|---|---|---|---|
| 2368 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ | 0.7059 | 0.8668 | 0.8143 | [M:[0.8637, 1.0409, 1.0545, 0.9727, 0.9455, 1.0273, 0.9455, 0.9727], q:[0.5955, 0.5408], qb:[0.4319, 0.5137], phi:[0.4796]] | t^2.591 + 2*t^2.837 + 2*t^2.918 + t^3.123 + t^3.327 + t^4.03 + t^4.275 + t^4.357 + 2*t^4.521 + t^4.602 + t^4.683 + t^4.766 + t^4.847 + t^5.011 + t^5.182 + 2*t^5.428 + t^5.509 + 2*t^5.673 + t^5.714 + 2*t^5.755 + 2*t^5.836 + 2*t^5.959 - 4*t^6. - t^4.439/y - t^4.439*y | detail | |
| 2366 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.5521 | 0.6771 | 0.8154 | [X:[1.3342], M:[0.6658, 1.1517, 1.0309, 0.7275, 0.9691, 1.2725, 0.9691], q:[0.9396, 0.3946], qb:[0.3329, 0.6362], phi:[0.4242]] | t^2.183 + 2*t^2.907 + t^3.27 + 2*t^3.455 + t^3.64 + t^3.817 + t^4.003 + t^4.365 + t^4.728 + 2*t^5.09 + t^5.638 + 2*t^5.815 + t^5.823 - 2*t^6. - t^4.272/y - t^4.272*y | detail | |
| 2369 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6675 | 0.845 | 0.79 | [M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.236 + 2*t^2.422 + t^2.609 + t^2.795 + t^3.093 + t^3.391 + t^3.689 + t^3.876 + 2*t^4.062 + t^4.249 + t^4.435 + t^4.471 + 2*t^4.658 + 4*t^4.845 + 3*t^5.031 + 3*t^5.218 + t^5.329 + t^5.404 + 2*t^5.516 + t^5.591 + t^5.702 + t^5.889 + t^5.925 - 2*t^6. - t^4.453/y - t^4.453*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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 0.6993 | 0.8557 | 0.8173 | [M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail |