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 |
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6391 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{1}M_{9}$ | 0.6499 | 0.7985 | 0.814 | [M:[1.0159, 0.8196, 1.0159, 0.8196, 1.1804, 0.7215, 1.2785, 1.0822, 0.9841], q:[0.5743, 0.4098], qb:[0.4098, 0.7706], phi:[0.4589]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [-8], [12], [22]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{9}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{9}$, ${ }M_{4}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{9}^{2}$ | ${}M_{3}M_{9}$ | -2 | 2*t^2.459 + t^2.952 + t^3.048 + t^3.247 + t^3.541 + 3*t^3.836 + t^4.034 + 2*t^4.329 + t^4.822 + 3*t^4.918 + 2*t^5.411 + 2*t^5.706 + t^5.904 - 2*t^6. + t^6.096 + t^6.199 + 5*t^6.294 + t^6.493 + 5*t^6.788 + t^6.883 + t^6.987 + 4*t^7.281 + 3*t^7.377 + t^7.576 + 5*t^7.671 + t^7.775 + 3*t^7.87 - t^7.966 + t^8.069 + 5*t^8.164 + 3*t^8.363 - 7*t^8.459 + t^8.554 + 4*t^8.658 + 5*t^8.753 + 2*t^8.857 - 3*t^8.952 - t^4.377/y - t^6.836/y + t^7.329/y - t^7.424/y + (2*t^7.918)/y + (2*t^8.411)/y + (2*t^8.507)/y + (2*t^8.706)/y - t^4.377*y - t^6.836*y + t^7.329*y - t^7.424*y + 2*t^7.918*y + 2*t^8.411*y + 2*t^8.507*y + 2*t^8.706*y | (2*t^2.459)/g1^2 + g1^22*t^2.952 + t^3.048/g1^22 + g1^12*t^3.247 + g1^2*t^3.541 + (3*t^3.836)/g1^8 + g1^26*t^4.034 + 2*g1^16*t^4.329 + g1^40*t^4.822 + (3*t^4.918)/g1^4 + 2*g1^20*t^5.411 + 2*g1^10*t^5.706 + g1^44*t^5.904 - 2*t^6. + t^6.096/g1^44 + g1^34*t^6.199 + (5*t^6.294)/g1^10 + g1^24*t^6.493 + 5*g1^14*t^6.788 + t^6.883/g1^30 + g1^48*t^6.987 + 4*g1^38*t^7.281 + (3*t^7.377)/g1^6 + g1^28*t^7.576 + (5*t^7.671)/g1^16 + g1^62*t^7.775 + 3*g1^18*t^7.87 - t^7.966/g1^26 + g1^52*t^8.069 + 5*g1^8*t^8.164 + 3*g1^42*t^8.363 - (7*t^8.459)/g1^2 + t^8.554/g1^46 + 4*g1^32*t^8.658 + (5*t^8.753)/g1^12 + 2*g1^66*t^8.857 - 3*g1^22*t^8.952 - t^4.377/(g1^6*y) - t^6.836/(g1^8*y) + (g1^16*t^7.329)/y - t^7.424/(g1^28*y) + (2*t^7.918)/(g1^4*y) + (2*g1^20*t^8.411)/y + (2*t^8.507)/(g1^24*y) + (2*g1^10*t^8.706)/y - (t^4.377*y)/g1^6 - (t^6.836*y)/g1^8 + g1^16*t^7.329*y - (t^7.424*y)/g1^28 + (2*t^7.918*y)/g1^4 + 2*g1^20*t^8.411*y + (2*t^8.507*y)/g1^24 + 2*g1^10*t^8.706*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4785 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.651 | 0.7992 | 0.8146 | [M:[0.9604, 0.8146, 0.9604, 0.8146, 1.1854, 0.7417, 1.2583, 1.1125], q:[0.6323, 0.4073], qb:[0.4073, 0.7781], phi:[0.4438]] | 2*t^2.444 + 2*t^2.881 + t^3.337 + t^3.556 + 3*t^3.775 + t^4.231 + 2*t^4.45 + 3*t^4.888 + t^5.125 + 2*t^5.325 + 3*t^5.763 + 2*t^5.781 - 3*t^6. - t^4.331/y - t^4.331*y | detail |