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 |
---|---|---|---|---|---|---|---|---|---|
57504 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1114 | 1.2326 | 0.9017 | [X:[1.5155], M:[0.969], q:[0.8272, 0.4047], qb:[0.384, 0.9305], phi:[0.2423]] | [X:[[0, 2]], M:[[0, -4]], q:[[-1, 1], [-1, 11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | -1 | t^2.18 + t^2.37 + t^2.91 + t^3.63 + t^3.82 + t^4.01 + t^4.36 + 2*t^4.55 + t^4.73 + t^5.09 + 2*t^5.27 + 2*t^5.64 + t^5.81 + 2*t^5.82 - t^6. + t^6.19 + t^6.37 + 2*t^6.54 + 2*t^6.73 + 3*t^6.91 + t^7.1 + t^7.27 + 3*t^7.45 + 2*t^7.64 + t^7.83 + t^7.99 + 2*t^8. + t^8.01 + 3*t^8.18 + 2*t^8.19 - t^8.37 + 2*t^8.55 + 2*t^8.72 + t^8.74 - t^8.91 + t^8.18/y^2 - t^8.91/y^2 - t^3.73/y - t^4.45/y - t^5.91/y - t^6.09/y - (2*t^6.63)/y - (2*t^7.36)/y + t^7.55/y - t^7.73/y - t^8.46/y - t^8.81/y - t^3.73*y - t^4.45*y - t^5.91*y - t^6.09*y - 2*t^6.63*y - 2*t^7.36*y + t^7.55*y - t^7.73*y - t^8.46*y - t^8.81*y + t^8.18*y^2 - t^8.91*y^2 | t^2.18/g2^3 + g2^5*t^2.37 + t^2.91/g2^4 + t^3.63/g2^5 + g2^3*t^3.82 + g2^11*t^4.01 + t^4.36/g2^6 + 2*g2^2*t^4.55 + g2^10*t^4.73 + t^5.09/g2^7 + 2*g2*t^5.27 + (g1^3*t^5.64)/g2^21 + (g2^22*t^5.64)/g1^3 + t^5.81/g2^8 + (g1^3*t^5.82)/g2^13 + (g2^30*t^5.82)/g1^3 - t^6. + g2^8*t^6.19 + g2^16*t^6.37 + (2*t^6.54)/g2^9 + (2*t^6.73)/g2 + 3*g2^7*t^6.91 + g2^15*t^7.1 + t^7.27/g2^10 + (3*t^7.45)/g2^2 + 2*g2^6*t^7.64 + g2^14*t^7.83 + t^7.99/g2^11 + (g1^3*t^8.)/g2^16 + (g2^27*t^8.)/g1^3 + g2^22*t^8.01 + (3*t^8.18)/g2^3 + (g1^3*t^8.19)/g2^8 + (g2^35*t^8.19)/g1^3 - g2^5*t^8.37 + 2*g2^13*t^8.55 + (2*t^8.72)/g2^12 + g2^21*t^8.74 - t^8.91/g2^4 + t^8.18/(g2^3*y^2) - t^8.91/(g2^4*y^2) - t^3.73/(g2*y) - t^4.45/(g2^2*y) - t^5.91/(g2^4*y) - (g2^4*t^6.09)/y - (2*t^6.63)/(g2^5*y) - (2*t^7.36)/(g2^6*y) + (g2^2*t^7.55)/y - (g2^10*t^7.73)/y - (g2^9*t^8.46)/y - t^8.81/(g2^8*y) - (t^3.73*y)/g2 - (t^4.45*y)/g2^2 - (t^5.91*y)/g2^4 - g2^4*t^6.09*y - (2*t^6.63*y)/g2^5 - (2*t^7.36*y)/g2^6 + g2^2*t^7.55*y - g2^10*t^7.73*y - g2^9*t^8.46*y - (t^8.81*y)/g2^8 + (t^8.18*y^2)/g2^3 - (t^8.91*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
60067 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.0916 | 1.1963 | 0.9125 | [X:[1.5137], M:[0.9726, 1.2706], q:[0.8327, 0.4013], qb:[0.383, 0.9242], phi:[0.2431]] | t^2.35 + t^2.92 + t^3.65 + 2*t^3.81 + t^3.98 + t^4.54 + t^4.71 + 2*t^5.27 + 2*t^5.64 + 2*t^5.8 - 2*t^6. - t^3.73/y - t^4.46/y - t^3.73*y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
47910 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1092 | 1.231 | 0.9011 | [X:[1.5086], q:[0.8484, 0.3915], qb:[0.38, 0.9059], phi:[0.2457]] | t^2.211 + t^2.315 + t^3.052 + t^3.685 + t^3.789 + t^3.892 + t^4.422 + 2*t^4.526 + t^4.629 + 2*t^5.263 + t^5.367 + 2*t^5.631 + 2*t^5.735 - t^6. - t^3.737/y - t^4.474/y - t^5.948/y - t^3.737*y - t^4.474*y - t^5.948*y | detail |