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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57780 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3256 | 1.4774 | 0.8973 | [X:[1.4285], M:[1.1428, 0.8574], q:[0.7141, 0.4286], qb:[0.7144, 0.4285], phi:[0.2857]] | [X:[[0, 2]], M:[[0, 3], [0, -10]], q:[[-1, 10], [-1, 4]], qb:[[1, -8], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.57 + 3*t^3.43 + 5*t^4.29 + 4*t^5.14 + 2*t^5.57 + t^6. + 6*t^6.43 + 9*t^6.86 + 15*t^7.71 + 2*t^7.72 - 4*t^8.14 + 15*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.43)/y - (4*t^7.29)/y - (3*t^8.14)/y - t^3.86*y - t^4.71*y - 2*t^6.43*y - 4*t^7.29*y - 3*t^8.14*y + t^8.57*y^2 | t^2.57/g2^10 + g2^4*t^2.57 + t^3.43/g2^4 + 2*g2^3*t^3.43 + t^4.29/g2^5 + 3*g2^2*t^4.29 + g2^9*t^4.29 + t^5.14/g2^20 + t^5.14/g2^6 + g2*t^5.14 + g2^8*t^5.14 + (g1^3*t^5.57)/g2^9 + (g2^17*t^5.57)/g1^3 - 2*t^6. + t^6./g2^14 + t^6./g2^7 + g2^7*t^6. + (g1^3*t^6.43)/g2^17 + (g1^3*t^6.43)/g2^10 + (g1^3*t^6.43)/g2^3 + (g2^9*t^6.43)/g1^3 + (g2^16*t^6.43)/g1^3 + (g2^23*t^6.43)/g1^3 + t^6.86/g2^15 + (2*t^6.86)/g2^8 + t^6.86/g2 + 4*g2^6*t^6.86 + g2^13*t^6.86 + t^7.71/g2^9 + (5*t^7.71)/g2^2 + 6*g2^5*t^7.71 + 3*g2^12*t^7.71 + t^7.72/g2^30 + t^7.72/g2^16 - (2*g1^3*t^8.14)/g2^12 - (2*g2^14*t^8.14)/g1^3 + t^8.57/g2^24 + t^8.57/g2^17 - t^8.57/g2^10 + (5*t^8.57)/g2^3 + 5*g2^4*t^8.57 + 3*g2^11*t^8.57 + g2^18*t^8.57 + t^8.57/(g2^3*y^2) - t^3.86/(g2*y) - t^4.71/(g2^2*y) - t^6.43/(g2^11*y) - (g2^3*t^6.43)/y - t^7.29/(g2^12*y) - t^7.29/(g2^5*y) - (2*g2^2*t^7.29)/y - (3*g2*t^8.14)/y - (t^3.86*y)/g2 - (t^4.71*y)/g2^2 - (t^6.43*y)/g2^11 - g2^3*t^6.43*y - (t^7.29*y)/g2^12 - (t^7.29*y)/g2^5 - 2*g2^2*t^7.29*y - 3*g2*t^8.14*y + (t^8.57*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|---|
57285 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3317 | 1.4983 | 0.8888 | [X:[1.3954], M:[1.0931, 0.8682], q:[0.7235, 0.3825], qb:[0.6719, 0.4083], phi:[0.3023]] | t^2.372 + t^2.604 + t^3.163 + 2*t^3.279 + t^4.07 + 3*t^4.186 + t^4.302 + t^4.745 + t^4.977 + t^5.093 + t^5.209 + 2*t^5.372 + t^5.535 + 2*t^5.652 + t^5.767 + t^5.884 - 3*t^6. - t^3.907/y - t^4.814/y - t^3.907*y - t^4.814*y | detail |