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 |
---|---|---|---|---|---|---|---|---|---|
1017 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6364 | 0.8069 | 0.7887 | [M:[1.228, 1.114, 0.772, 0.772, 0.728, 1.158], q:[0.75, 0.408], qb:[0.364, 0.478], phi:[0.5]] | [M:[[2], [1], [-2], [-2], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | -1 | t^2.184 + 2*t^2.316 + t^3. + 2*t^3.342 + 2*t^3.474 + t^3.684 + t^3.948 + t^4.026 + t^4.158 + 2*t^4.368 + 2*t^4.5 + 3*t^4.632 + t^5.184 + 2*t^5.316 + 2*t^5.526 + 5*t^5.658 + 3*t^5.79 - t^6. + 2*t^6.264 + 2*t^6.342 + 2*t^6.474 + 2*t^6.552 + 5*t^6.684 + 5*t^6.816 + 7*t^6.948 + t^7.026 - t^7.158 + 2*t^7.368 + 2*t^7.422 + 2*t^7.5 + 3*t^7.632 + 3*t^7.71 + 4*t^7.842 + t^7.895 + 6*t^7.974 + t^8.052 + 5*t^8.106 - 4*t^8.184 - 2*t^8.316 + t^8.394 + t^8.526 + 3*t^8.58 + 2*t^8.658 + 3*t^8.736 + 2*t^8.79 + 4*t^8.868 - t^4.5/y - t^6.684/y - t^6.816/y + t^7.026/y + t^7.158/y + (2*t^7.5)/y + t^7.632/y - t^7.842/y - t^7.974/y + (2*t^8.184)/y + (3*t^8.316)/y + (2*t^8.526)/y + (6*t^8.658)/y + (4*t^8.79)/y - t^4.5*y - t^6.684*y - t^6.816*y + t^7.026*y + t^7.158*y + 2*t^7.5*y + t^7.632*y - t^7.842*y - t^7.974*y + 2*t^8.184*y + 3*t^8.316*y + 2*t^8.526*y + 6*t^8.658*y + 4*t^8.79*y | g1^2*t^2.184 + (2*t^2.316)/g1^2 + t^3. + 2*g1*t^3.342 + (2*t^3.474)/g1^3 + g1^2*t^3.684 + t^3.948/g1^6 + g1^3*t^4.026 + t^4.158/g1 + 2*g1^4*t^4.368 + 2*t^4.5 + (3*t^4.632)/g1^4 + g1^2*t^5.184 + (2*t^5.316)/g1^2 + 2*g1^3*t^5.526 + (5*t^5.658)/g1 + (3*t^5.79)/g1^5 - t^6. + (2*t^6.264)/g1^8 + 2*g1*t^6.342 + (2*t^6.474)/g1^3 + 2*g1^6*t^6.552 + 5*g1^2*t^6.684 + (5*t^6.816)/g1^2 + (7*t^6.948)/g1^6 + g1^3*t^7.026 - t^7.158/g1 + 2*g1^4*t^7.368 + (2*t^7.422)/g1^9 + 2*t^7.5 + (3*t^7.632)/g1^4 + 3*g1^5*t^7.71 + 4*g1*t^7.842 + t^7.895/g1^12 + (6*t^7.974)/g1^3 + g1^6*t^8.052 + (5*t^8.106)/g1^7 - 4*g1^2*t^8.184 - (2*t^8.316)/g1^2 + g1^7*t^8.394 + g1^3*t^8.526 + (3*t^8.58)/g1^10 + (2*t^8.658)/g1 + 3*g1^8*t^8.736 + (2*t^8.79)/g1^5 + 4*g1^4*t^8.868 - t^4.5/y - (g1^2*t^6.684)/y - t^6.816/(g1^2*y) + (g1^3*t^7.026)/y + t^7.158/(g1*y) + (2*t^7.5)/y + t^7.632/(g1^4*y) - (g1*t^7.842)/y - t^7.974/(g1^3*y) + (2*g1^2*t^8.184)/y + (3*t^8.316)/(g1^2*y) + (2*g1^3*t^8.526)/y + (6*t^8.658)/(g1*y) + (4*t^8.79)/(g1^5*y) - t^4.5*y - g1^2*t^6.684*y - (t^6.816*y)/g1^2 + g1^3*t^7.026*y + (t^7.158*y)/g1 + 2*t^7.5*y + (t^7.632*y)/g1^4 - g1*t^7.842*y - (t^7.974*y)/g1^3 + 2*g1^2*t^8.184*y + (3*t^8.316*y)/g1^2 + 2*g1^3*t^8.526*y + (6*t^8.658*y)/g1 + (4*t^8.79*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
1588 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6571 | 0.8477 | 0.7752 | [M:[1.2256, 1.1128, 0.7744, 0.7744, 0.7256, 1.1616, 0.6768], q:[0.75, 0.4116], qb:[0.3628, 0.4756], phi:[0.5]] | t^2.03 + t^2.177 + 2*t^2.323 + t^3. + 2*t^3.338 + 2*t^3.485 + t^3.677 + t^4.015 + t^4.061 + t^4.162 + t^4.207 + 4*t^4.354 + 2*t^4.5 + 3*t^4.646 + t^5.03 + t^5.177 + 2*t^5.323 + 2*t^5.369 + 4*t^5.515 + 5*t^5.662 + t^5.707 + 3*t^5.808 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
639 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6508 | 0.8317 | 0.7826 | [M:[1.2136, 1.1068, 0.7864, 0.7864, 0.7136], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | t^2.141 + 2*t^2.359 + t^2.461 + t^3. + 2*t^3.32 + t^3.539 + t^3.641 + t^3.961 + t^4.078 + t^4.18 + 2*t^4.281 + 2*t^4.5 + t^4.602 + 3*t^4.719 + 2*t^4.82 + t^4.922 + t^5.141 + 2*t^5.359 + 3*t^5.461 + 4*t^5.68 + 2*t^5.781 + t^5.898 - t^4.5/y - t^4.5*y | detail |