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 |
---|---|---|---|---|---|---|---|---|---|
522 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.5919 | 0.7517 | 0.7874 | [M:[1.0, 1.1138, 0.7725, 0.7725], q:[0.7784, 0.2216], qb:[0.5629, 0.6647], phi:[0.4431]] | [M:[[0], [-4], [8], [8]], q:[[-1], [1]], qb:[[-11], [3]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.317 + t^2.353 + 2*t^2.659 + t^3. + t^3.341 + t^3.988 + t^4.024 + t^4.329 + 3*t^4.635 + t^4.671 + 2*t^4.707 + 3*t^4.976 + 3*t^5.012 + 6*t^5.317 + t^5.353 + 3*t^5.659 - 2*t^6. + 2*t^6.341 + t^6.377 + 3*t^6.647 + t^6.683 + 4*t^6.952 + 2*t^6.988 + t^7.024 + 2*t^7.06 + 4*t^7.293 + t^7.329 + 4*t^7.365 + 8*t^7.635 + 4*t^7.671 + t^7.707 + 10*t^7.976 + t^8.012 + t^8.048 - 2*t^8.317 - 3*t^8.353 - 4*t^8.659 + 2*t^8.731 + t^8.964 - t^4.329/y - (2*t^6.647)/y + t^7.635/y + (2*t^7.671)/y + (4*t^7.976)/y + (4*t^8.012)/y + (3*t^8.317)/y + t^8.353/y + (4*t^8.659)/y + t^8.695/y - (3*t^8.964)/y - t^4.329*y - 2*t^6.647*y + t^7.635*y + 2*t^7.671*y + 4*t^7.976*y + 4*t^8.012*y + 3*t^8.317*y + t^8.353*y + 4*t^8.659*y + t^8.695*y - 3*t^8.964*y | 2*g1^8*t^2.317 + t^2.353/g1^10 + 2*g1^4*t^2.659 + t^3. + t^3.341/g1^4 + g1^6*t^3.988 + t^4.024/g1^12 + g1^2*t^4.329 + 3*g1^16*t^4.635 + t^4.671/g1^2 + (2*t^4.707)/g1^20 + 3*g1^12*t^4.976 + (3*t^5.012)/g1^6 + 6*g1^8*t^5.317 + t^5.353/g1^10 + 3*g1^4*t^5.659 - 2*t^6. + (2*t^6.341)/g1^4 + t^6.377/g1^22 + 3*g1^10*t^6.647 + t^6.683/g1^8 + 4*g1^24*t^6.952 + 2*g1^6*t^6.988 + t^7.024/g1^12 + (2*t^7.06)/g1^30 + 4*g1^20*t^7.293 + g1^2*t^7.329 + (4*t^7.365)/g1^16 + 8*g1^16*t^7.635 + (4*t^7.671)/g1^2 + t^7.707/g1^20 + 10*g1^12*t^7.976 + t^8.012/g1^6 + t^8.048/g1^24 - 2*g1^8*t^8.317 - (3*t^8.353)/g1^10 - 4*g1^4*t^8.659 + (2*t^8.731)/g1^32 + g1^18*t^8.964 - (g1^2*t^4.329)/y - (2*g1^10*t^6.647)/y + (g1^16*t^7.635)/y + (2*t^7.671)/(g1^2*y) + (4*g1^12*t^7.976)/y + (4*t^8.012)/(g1^6*y) + (3*g1^8*t^8.317)/y + t^8.353/(g1^10*y) + (4*g1^4*t^8.659)/y + t^8.695/(g1^14*y) - (3*g1^18*t^8.964)/y - g1^2*t^4.329*y - 2*g1^10*t^6.647*y + g1^16*t^7.635*y + (2*t^7.671*y)/g1^2 + 4*g1^12*t^7.976*y + (4*t^8.012*y)/g1^6 + 3*g1^8*t^8.317*y + (t^8.353*y)/g1^10 + 4*g1^4*t^8.659*y + (t^8.695*y)/g1^14 - 3*g1^18*t^8.964*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 |
---|---|---|---|---|---|---|---|---|
815 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6127 | 0.7931 | 0.7725 | [M:[1.0, 1.1136, 0.7728, 0.7728, 0.6704], q:[0.7784, 0.2216], qb:[0.5623, 0.6648], phi:[0.4432]] | t^2.011 + 2*t^2.319 + t^2.352 + 2*t^2.659 + t^3. + t^3.341 + 2*t^4.022 + 3*t^4.33 + t^4.363 + 3*t^4.637 + 3*t^4.67 + 2*t^4.704 + 3*t^4.978 + 4*t^5.011 + 6*t^5.319 + 2*t^5.352 + 3*t^5.659 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
814 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.5818 | 0.7347 | 0.7919 | [M:[1.0, 1.1084, 0.7831, 0.7831, 1.1084], q:[0.7771, 0.2229], qb:[0.5482, 0.6687], phi:[0.4458]] | t^2.313 + 2*t^2.349 + t^2.675 + t^3. + 2*t^3.325 + t^3.976 + t^4.012 + t^4.337 + 2*t^4.627 + t^4.663 + 3*t^4.699 + 2*t^4.988 + t^5.024 + t^5.313 + 4*t^5.349 + t^5.639 + 4*t^5.675 - 2*t^6. - t^4.337/y - t^4.337*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
334 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6092 | 0.7784 | 0.7826 | [M:[1.0, 1.0424, 0.9152, 0.7291], q:[0.7606, 0.2394], qb:[0.5527, 0.5321], phi:[0.4788]] | t^2.187 + t^2.315 + t^2.376 + t^2.745 + t^2.873 + t^3. + t^3.127 + t^3.751 + t^3.878 + t^3.94 + t^4.375 + t^4.502 + t^4.564 + 2*t^4.629 + 2*t^4.691 + 2*t^4.753 + t^4.933 + t^5.06 + 2*t^5.187 + t^5.249 + 2*t^5.315 + t^5.376 + t^5.442 + t^5.491 + t^5.504 + t^5.618 + 2*t^5.745 + t^5.873 - 2*t^6. - t^4.436/y - t^4.436*y | detail |