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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58503 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0842 | 1.2202 | 0.8885 | [X:[1.478], M:[0.956], q:[0.696, 0.347], qb:[0.348, 1.043], phi:[0.261]] | [X:[[6]], M:[[12]], q:[[-8], [19]], qb:[[-4], [11]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | -1 | t^2.09 + t^2.35 + 2*t^2.87 + t^3.65 + 2*t^4.17 + 2*t^4.43 + t^4.7 + 3*t^4.95 + 3*t^5.22 + t^5.47 + 4*t^5.74 - t^6. + 2*t^6.26 + 4*t^6.52 + t^6.78 + 5*t^7.04 + 5*t^7.3 + t^7.56 + 2*t^7.57 + 7*t^7.82 - t^7.83 + 2*t^8.09 + 5*t^8.34 - t^8.35 + 8*t^8.6 - t^8.61 - 4*t^8.87 + t^8.35/y^2 - t^8.87/y^2 - t^3.78/y - t^4.57/y - t^5.87/y - t^6.13/y - (2*t^6.65)/y - t^6.91/y - t^7.43/y + t^7.7/y + t^8.22/y - t^8.48/y - t^3.78*y - t^4.57*y - t^5.87*y - t^6.13*y - 2*t^6.65*y - t^6.91*y - t^7.43*y + t^7.7*y + t^8.22*y - t^8.48*y + t^8.35*y^2 - t^8.87*y^2 | g1^15*t^2.09 + t^2.35/g1^9 + 2*g1^12*t^2.87 + g1^9*t^3.65 + 2*g1^30*t^4.17 + 2*g1^6*t^4.43 + t^4.7/g1^18 + 3*g1^27*t^4.95 + 3*g1^3*t^5.22 + g1^48*t^5.47 + 4*g1^24*t^5.74 - t^6. + 2*g1^45*t^6.26 + 4*g1^21*t^6.52 + t^6.78/g1^3 + 5*g1^42*t^7.04 + 5*g1^18*t^7.3 + g1^63*t^7.56 + (2*t^7.57)/g1^6 + 7*g1^39*t^7.82 - t^7.83/g1^30 + 2*g1^15*t^8.09 + 5*g1^60*t^8.34 - t^8.35/g1^9 + 8*g1^36*t^8.6 - t^8.61/g1^33 - 4*g1^12*t^8.87 + t^8.35/(g1^9*y^2) - (g1^12*t^8.87)/y^2 - t^3.78/(g1^3*y) - t^4.57/(g1^6*y) - (g1^12*t^5.87)/y - t^6.13/(g1^12*y) - (2*g1^9*t^6.65)/y - t^6.91/(g1^15*y) - (g1^6*t^7.43)/y + t^7.7/(g1^18*y) + (g1^3*t^8.22)/y - t^8.48/(g1^21*y) - (t^3.78*y)/g1^3 - (t^4.57*y)/g1^6 - g1^12*t^5.87*y - (t^6.13*y)/g1^12 - 2*g1^9*t^6.65*y - (t^6.91*y)/g1^15 - g1^6*t^7.43*y + (t^7.7*y)/g1^18 + g1^3*t^8.22*y - (t^8.48*y)/g1^21 + (t^8.35*y^2)/g1^9 - g1^12*t^8.87*y^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
57389 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4379 | 1.6109 | 0.8926 | [X:[1.404], M:[0.808], q:[0.596, 0.5099], qb:[0.596, 0.5099], phi:[0.298]] | t^2.424 + t^2.682 + t^3.06 + 2*t^3.318 + t^3.954 + 3*t^4.212 + t^4.47 + 2*t^4.848 + 3*t^5.106 + 2*t^5.364 + t^5.484 + 3*t^5.742 - t^3.894/y - t^4.788/y - t^3.894*y - t^4.788*y | detail |