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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57952 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4392 | 1.6298 | 0.8831 | [X:[1.3776], M:[0.778, 0.9068], q:[0.4337, 0.6161], qb:[0.4771, 0.6059], phi:[0.3112]] | [X:[[0, 4]], M:[[0, -5], [3, -7]], q:[[2, 5], [-1, 5]], qb:[[-2, 2], [1, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.33 + t^2.72 + t^2.73 + t^2.8 + t^3.12 + t^3.67 + t^4.05 + t^4.13 + t^4.21 + 2*t^4.6 + t^4.67 + t^4.99 + t^5.05 + t^5.07 + t^5.13 + t^5.15 + t^5.38 + t^5.44 + t^5.45 + t^5.46 + t^5.52 + 2*t^5.53 + t^5.6 + t^5.84 + t^5.85 + t^5.92 + t^5.93 - 2*t^6. + t^6.24 + t^6.32 + t^6.4 + 2*t^6.47 + t^6.7 + t^6.77 + 2*t^6.78 + 2*t^6.85 + 2*t^6.87 + 2*t^6.93 + t^6.95 + t^7. + t^7.01 + t^7.09 + t^7.17 + 2*t^7.25 + t^7.32 + 3*t^7.33 + t^7.39 + 2*t^7.4 + t^7.47 + t^7.71 + 3*t^7.72 + t^7.77 + 2*t^7.79 + 2*t^7.8 + t^7.86 + 2*t^7.87 + 2*t^7.88 + t^7.94 - t^7.95 + 2*t^8.1 + t^8.12 + t^8.16 + t^8.17 + 2*t^8.19 + t^8.2 + t^8.24 + 2*t^8.25 + 5*t^8.27 + t^8.32 - t^8.33 + t^8.35 + t^8.4 - t^8.41 + t^8.43 - t^8.49 + t^8.5 + t^8.56 + t^8.57 + t^8.58 + t^8.64 + 4*t^8.65 + t^8.66 - 2*t^8.72 - t^8.73 + 2*t^8.81 - 2*t^8.88 + t^8.96 + t^8.97 + t^8.8/y^2 - t^3.93/y - t^4.87/y - t^6.27/y - t^6.65/y - t^6.67/y - t^6.73/y - t^7.05/y - t^7.2/y - t^7.59/y - t^7.6/y - t^7.67/y - t^7.99/y + t^8.05/y + t^8.07/y + t^8.13/y + (2*t^8.45)/y + t^8.52/y - t^8.6/y + t^8.84/y + t^8.85/y - t^8.99/y - t^3.93*y - t^4.87*y - t^6.27*y - t^6.65*y - t^6.67*y - t^6.73*y - t^7.05*y - t^7.2*y - t^7.59*y - t^7.6*y - t^7.67*y - t^7.99*y + t^8.05*y + t^8.07*y + t^8.13*y + 2*t^8.45*y + t^8.52*y - t^8.6*y + t^8.84*y + t^8.85*y - t^8.99*y + t^8.8*y^2 | t^2.33/g2^5 + (g1^3*t^2.72)/g2^7 + g2^7*t^2.73 + t^2.8/g2^6 + g1^3*g2^5*t^3.12 + g2^5*t^3.67 + g1^3*g2^3*t^4.05 + g2^4*t^4.13 + (g2^5*t^4.21)/g1^3 + 2*g2^3*t^4.6 + t^4.67/g2^10 + g1^3*g2*t^4.99 + (g1^3*t^5.05)/g2^12 + g2^2*t^5.07 + t^5.13/g2^11 + (g2^3*t^5.15)/g1^3 + g1^3*g2^13*t^5.38 + (g1^6*t^5.44)/g2^14 + g1^3*t^5.45 + g2^14*t^5.46 + (g1^3*t^5.52)/g2^13 + 2*g2*t^5.53 + t^5.6/g2^12 + (g1^6*t^5.84)/g2^2 + g1^3*g2^12*t^5.85 + (g1^3*t^5.92)/g2 + g2^13*t^5.93 - 2*t^6. + g1^6*g2^10*t^6.24 + g1^3*g2^11*t^6.32 + g2^12*t^6.4 + (2*t^6.47)/g2 + g1^6*g2^9*t^6.7 + (g1^6*t^6.77)/g2^4 + 2*g1^3*g2^10*t^6.78 + (2*g1^3*t^6.85)/g2^3 + 2*g2^11*t^6.87 + (2*t^6.93)/g2^2 + (g2^12*t^6.95)/g1^3 + t^7./g2^15 + t^7.01/(g1^3*g2) + t^7.09/g1^6 + g1^6*g2^8*t^7.17 + 2*g1^3*g2^9*t^7.25 + (g1^3*t^7.32)/g2^4 + 3*g2^10*t^7.33 + (g1^3*t^7.39)/g2^17 + (2*t^7.4)/g2^3 + t^7.47/g2^16 + (g1^6*t^7.71)/g2^6 + 3*g1^3*g2^8*t^7.72 + (g1^6*t^7.77)/g2^19 + (2*g1^3*t^7.79)/g2^5 + 2*g2^9*t^7.8 + (g1^3*t^7.86)/g2^18 + (2*t^7.87)/g2^4 + (2*g2^10*t^7.88)/g1^3 + t^7.94/g2^17 - t^7.95/(g1^3*g2^3) + 2*g1^6*g2^6*t^8.1 + g1^3*g2^20*t^8.12 + (g1^9*t^8.16)/g2^21 + (g1^6*t^8.17)/g2^7 + 2*g1^3*g2^7*t^8.19 + g2^21*t^8.2 + (g1^6*t^8.24)/g2^20 + (2*g1^3*t^8.25)/g2^6 + 5*g2^8*t^8.27 + (g1^3*t^8.32)/g2^19 - t^8.33/g2^5 + (g2^9*t^8.35)/g1^3 + t^8.4/g2^18 - t^8.41/(g1^3*g2^4) + (g2^10*t^8.43)/g1^6 - t^8.49/(g1^6*g2^3) + g1^6*g2^18*t^8.5 + (g1^9*t^8.56)/g2^9 + g1^6*g2^5*t^8.57 + g1^3*g2^19*t^8.58 + (g1^6*t^8.64)/g2^8 + 4*g1^3*g2^6*t^8.65 + g2^20*t^8.66 - (2*g1^3*t^8.72)/g2^7 - g2^7*t^8.73 + (2*g2^8*t^8.81)/g1^3 - (2*t^8.88)/(g1^3*g2^5) + g1^9*g2^3*t^8.96 + g1^6*g2^17*t^8.97 + t^8.8/(g2^6*y^2) - t^3.93/(g2^2*y) - t^4.87/(g2^4*y) - t^6.27/(g2^7*y) - (g1^3*t^6.65)/(g2^9*y) - (g2^5*t^6.67)/y - t^6.73/(g2^8*y) - (g1^3*g2^3*t^7.05)/y - t^7.2/(g2^9*y) - (g1^3*t^7.59)/(g2^11*y) - (g2^3*t^7.6)/y - t^7.67/(g2^10*y) - (g1^3*g2*t^7.99)/y + (g1^3*t^8.05)/(g2^12*y) + (g2^2*t^8.07)/y + t^8.13/(g2^11*y) + (2*g1^3*t^8.45)/y + (g1^3*t^8.52)/(g2^13*y) - t^8.6/(g2^12*y) + (g1^6*t^8.84)/(g2^2*y) + (g1^3*g2^12*t^8.85)/y - (g1^3*t^8.99)/(g2^14*y) - (t^3.93*y)/g2^2 - (t^4.87*y)/g2^4 - (t^6.27*y)/g2^7 - (g1^3*t^6.65*y)/g2^9 - g2^5*t^6.67*y - (t^6.73*y)/g2^8 - g1^3*g2^3*t^7.05*y - (t^7.2*y)/g2^9 - (g1^3*t^7.59*y)/g2^11 - g2^3*t^7.6*y - (t^7.67*y)/g2^10 - g1^3*g2*t^7.99*y + (g1^3*t^8.05*y)/g2^12 + g2^2*t^8.07*y + (t^8.13*y)/g2^11 + 2*g1^3*t^8.45*y + (g1^3*t^8.52*y)/g2^13 - (t^8.6*y)/g2^12 + (g1^6*t^8.84*y)/g2^2 + g1^3*g2^12*t^8.85*y - (g1^3*t^8.99*y)/g2^14 + (t^8.8*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
57302 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4334 | 1.623 | 0.8832 | [X:[1.3613], M:[0.7984], q:[0.4354, 0.5847], qb:[0.4469, 0.6169], phi:[0.3194]] | t^2.395 + t^2.647 + t^2.874 + t^3.095 + t^3.157 + t^3.605 + t^4.053 + t^4.084 + t^4.115 + 2*t^4.563 + t^4.79 + t^5.011 + t^5.042 + t^5.073 + t^5.269 + t^5.293 + t^5.324 + t^5.49 + 2*t^5.521 + t^5.741 + t^5.748 + t^5.773 + t^5.804 + t^5.969 - 2*t^6. - t^3.958/y - t^4.916/y - t^3.958*y - t^4.916*y | detail |