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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57978 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4511 | 1.6295 | 0.8906 | [X:[1.3822], M:[0.9266, 0.9266], q:[0.5096, 0.5096], qb:[0.5637, 0.5637], phi:[0.3089]] | [X:[[0, 6]], M:[[1, -17], [-1, -1]], q:[[-1, 16], [1, 0]], qb:[[0, 1], [0, 1]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 0 | 3*t^2.78 + 2*t^3.22 + 5*t^4.15 + 4*t^5.07 + 2*t^5.51 + 6*t^5.56 + 5*t^6.44 + 10*t^6.93 + 12*t^7.37 + 8*t^7.85 + 16*t^8.29 + 10*t^8.34 + 4*t^8.73 - 9*t^8.78 + t^8.78/y^2 - t^3.93/y - t^4.85/y - (3*t^6.71)/y - (2*t^7.15)/y - (3*t^7.63)/y - (2*t^8.07)/y + (3*t^8.56)/y - t^3.93*y - t^4.85*y - 3*t^6.71*y - 2*t^7.15*y - 3*t^7.63*y - 2*t^8.07*y + 3*t^8.56*y + t^8.78*y^2 | (g1*t^2.78)/g2^17 + t^2.78/g2^9 + t^2.78/(g1*g2) + g1*g2*t^3.22 + (g2^17*t^3.22)/g1 + (2*g1*t^4.15)/g2^2 + g2^6*t^4.15 + (2*g2^14*t^4.15)/g1 + (2*g1*t^5.07)/g2^5 + (2*g2^11*t^5.07)/g1 + g1*g2^13*t^5.51 + (g2^29*t^5.51)/g1 + (g1^2*t^5.56)/g2^34 + (g1*t^5.56)/g2^26 + (2*t^5.56)/g2^18 + t^5.56/(g1*g2^10) + t^5.56/(g1^2*g2^2) - 2*t^6. + (g1*t^6.)/g2^8 + (g2^8*t^6.)/g1 + g1^2*g2^2*t^6.44 + g1*g2^10*t^6.44 + g2^18*t^6.44 + (g2^26*t^6.44)/g1 + (g2^34*t^6.44)/g1^2 + (g1^2*t^6.93)/g2^19 + (3*g1*t^6.93)/g2^11 + (2*t^6.93)/g2^3 + (3*g2^5*t^6.93)/g1 + (g2^13*t^6.93)/g1^2 + (g1^3*t^7.37)/g2^9 + (2*g1^2*t^7.37)/g2 + 2*g1*g2^7*t^7.37 + 2*g2^15*t^7.37 + (2*g2^23*t^7.37)/g1 + (2*g2^31*t^7.37)/g1^2 + (g2^39*t^7.37)/g1^3 + (g1^2*t^7.85)/g2^22 + (g1*t^7.85)/g2^14 + (4*t^7.85)/g2^6 + (g2^2*t^7.85)/g1 + (g2^10*t^7.85)/g1^2 + (4*g1^2*t^8.29)/g2^4 + g1*g2^4*t^8.29 + 6*g2^12*t^8.29 + (g2^20*t^8.29)/g1 + (4*g2^28*t^8.29)/g1^2 + (g1^3*t^8.34)/g2^51 + (g1^2*t^8.34)/g2^43 + (2*g1*t^8.34)/g2^35 + (2*t^8.34)/g2^27 + (2*t^8.34)/(g1*g2^19) + t^8.34/(g1^2*g2^11) + t^8.34/(g1^3*g2^3) + g1^2*g2^14*t^8.73 + 2*g2^30*t^8.73 + (g2^46*t^8.73)/g1^2 - (4*g1*t^8.78)/g2^17 - t^8.78/g2^9 - (4*t^8.78)/(g1*g2) + t^8.78/(g2^9*y^2) - t^3.93/(g2^3*y) - t^4.85/(g2^6*y) - (g1*t^6.71)/(g2^20*y) - t^6.71/(g2^12*y) - t^6.71/(g1*g2^4*y) - (g1*t^7.15)/(g2^2*y) - (g2^14*t^7.15)/(g1*y) - (g1*t^7.63)/(g2^23*y) - t^7.63/(g2^15*y) - t^7.63/(g1*g2^7*y) - (g1*t^8.07)/(g2^5*y) - (g2^11*t^8.07)/(g1*y) + (g1*t^8.56)/(g2^26*y) + t^8.56/(g2^18*y) + t^8.56/(g1*g2^10*y) - (t^3.93*y)/g2^3 - (t^4.85*y)/g2^6 - (g1*t^6.71*y)/g2^20 - (t^6.71*y)/g2^12 - (t^6.71*y)/(g1*g2^4) - (g1*t^7.15*y)/g2^2 - (g2^14*t^7.15*y)/g1 - (g1*t^7.63*y)/g2^23 - (t^7.63*y)/g2^15 - (t^7.63*y)/(g1*g2^7) - (g1*t^8.07*y)/g2^5 - (g2^11*t^8.07*y)/g1 + (g1*t^8.56*y)/g2^26 + (t^8.56*y)/g2^18 + (t^8.56*y)/(g1*g2^10) + (t^8.78*y^2)/g2^9 |
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 |
---|---|---|---|---|---|---|---|---|---|
57307 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4518 | 1.6306 | 0.8903 | [X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]] | t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. - t^3.931/y - t^4.862/y - t^3.931*y - t^4.862*y | detail |