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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57822 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3401 | 1.5022 | 0.8921 | [X:[1.4405], M:[1.1191, 0.8064, 0.8393], q:[0.4295, 0.7422], qb:[0.4514, 0.6983], phi:[0.2798]] | [X:[[0, 0, 2]], M:[[0, 0, -4], [-1, 1, -2], [0, 0, -3]], q:[[-1, 0, 4], [0, -1, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.42 + 2*t^2.52 + t^3.36 + t^3.38 + t^4.22 + 3*t^4.32 + t^4.42 + t^4.84 + 2*t^4.94 + 3*t^5.04 + t^5.16 + 2*t^5.64 + t^5.78 + t^5.8 + 2*t^5.88 + t^5.9 - 3*t^6. - t^6.1 + 2*t^6.38 + 2*t^6.48 + 2*t^6.58 + t^6.64 + t^6.71 + 4*t^6.74 + t^6.77 + 4*t^6.84 + t^7.26 + 2*t^7.36 + 3*t^7.45 + 4*t^7.55 + t^7.58 + t^7.61 + 4*t^7.68 + 3*t^7.7 + t^8.2 + t^8.22 - 2*t^8.26 + 2*t^8.29 + t^8.32 + 3*t^8.39 - 2*t^8.42 + t^8.45 - 4*t^8.52 + 3*t^8.54 - 2*t^8.62 + 5*t^8.64 + 2*t^8.74 + 2*t^8.8 + t^8.84 + 4*t^8.9 + t^8.52/y^2 - t^3.84/y - t^4.68/y - t^6.26/y - (2*t^6.36)/y - t^7.1/y - (3*t^7.2)/y - t^7.22/y + t^7.32/y + (2*t^7.94)/y - t^8.06/y - t^8.16/y - t^8.68/y - t^8.78/y + t^8.8/y - t^8.88/y + (2*t^8.9)/y - t^3.84*y - t^4.68*y - t^6.26*y - 2*t^6.36*y - t^7.1*y - 3*t^7.2*y - t^7.22*y + t^7.32*y + 2*t^7.94*y - t^8.06*y - t^8.16*y - t^8.68*y - t^8.78*y + t^8.8*y - t^8.88*y + 2*t^8.9*y + t^8.52*y^2 | (g2*t^2.42)/(g1*g3^2) + (2*t^2.52)/g3^3 + t^3.36/g3^4 + (g2*g3^4*t^3.38)/g1 + (g2*g3^3*t^4.22)/g1 + 3*g3^2*t^4.32 + (g1*g3*t^4.42)/g2 + (g2^2*t^4.84)/(g1^2*g3^4) + (2*g2*t^4.94)/(g1*g3^5) + (3*t^5.04)/g3^6 + g3*t^5.16 + (g1^2*g2*t^5.64)/g3 + (g3^9*t^5.64)/(g1^2*g2) + (g2*t^5.78)/(g1*g3^6) + (g2^2*g3^2*t^5.8)/g1^2 + (2*t^5.88)/g3^7 + (g2*g3*t^5.9)/g1 - 3*t^6. - (g1*t^6.1)/(g2*g3) + (g1*g2^2*t^6.38)/g3 + (g3^9*t^6.38)/g1^3 + (g1^2*g2*t^6.48)/g3^2 + (g3^8*t^6.48)/(g1^2*g2) + (g1^3*t^6.58)/g3^3 + (g3^7*t^6.58)/(g1*g2^2) + (g2^2*g3*t^6.64)/g1^2 + t^6.71/g3^8 + (4*g2*t^6.74)/g1 + (g2^2*g3^8*t^6.77)/g1^2 + (4*t^6.84)/g3 + (g2^3*t^7.26)/(g1^3*g3^6) + (2*g2^2*t^7.36)/(g1^2*g3^7) + (3*g2*t^7.45)/(g1*g3^8) + (4*t^7.55)/g3^9 + (g2*t^7.58)/(g1*g3) + (g2^2*g3^7*t^7.61)/g1^2 + (4*t^7.68)/g3^2 + (3*g2*g3^6*t^7.7)/g1 + (g2^2*t^8.2)/(g1^2*g3^8) + (g2^3*t^8.22)/g1^3 - (g1^3*t^8.26)/g3^5 - (g3^5*t^8.26)/(g1*g2^2) + (2*g2*t^8.29)/(g1*g3^9) + (g2^2*t^8.32)/(g1^2*g3) + (3*t^8.39)/g3^10 - (2*g2*t^8.42)/(g1*g3^2) + (g2^2*g3^6*t^8.45)/g1^2 - (4*t^8.52)/g3^3 + (3*g2*g3^5*t^8.54)/g1 - (2*g1*t^8.62)/(g2*g3^4) + 5*g3^4*t^8.64 + (2*g1*g3^3*t^8.74)/g2 + (g2^3*t^8.8)/g3^3 + (g2*g3^7*t^8.8)/g1^4 + (g1^2*g3^2*t^8.84)/g2^2 + (2*g1*g2^2*t^8.9)/g3^4 + (2*g3^6*t^8.9)/g1^3 + t^8.52/(g3^3*y^2) - t^3.84/(g3*y) - t^4.68/(g3^2*y) - (g2*t^6.26)/(g1*g3^3*y) - (2*t^6.36)/(g3^4*y) - (g2*t^7.1)/(g1*g3^4*y) - (3*t^7.2)/(g3^5*y) - (g2*g3^3*t^7.22)/(g1*y) + (g3^2*t^7.32)/y + (2*g2*t^7.94)/(g1*g3^5*y) - (g2*g3^2*t^8.06)/(g1*y) - (g3*t^8.16)/y - (g2^2*t^8.68)/(g1^2*g3^5*y) - (g2*t^8.78)/(g1*g3^6*y) + (g2^2*g3^2*t^8.8)/(g1^2*y) - t^8.88/(g3^7*y) + (2*g2*g3*t^8.9)/(g1*y) - (t^3.84*y)/g3 - (t^4.68*y)/g3^2 - (g2*t^6.26*y)/(g1*g3^3) - (2*t^6.36*y)/g3^4 - (g2*t^7.1*y)/(g1*g3^4) - (3*t^7.2*y)/g3^5 - (g2*g3^3*t^7.22*y)/g1 + g3^2*t^7.32*y + (2*g2*t^7.94*y)/(g1*g3^5) - (g2*g3^2*t^8.06*y)/g1 - g3*t^8.16*y - (g2^2*t^8.68*y)/(g1^2*g3^5) - (g2*t^8.78*y)/(g1*g3^6) + (g2^2*g3^2*t^8.8*y)/g1^2 - (t^8.88*y)/g3^7 + (2*g2*g3*t^8.9*y)/g1 + (t^8.52*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|---|
57288 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.327 | 1.4812 | 0.8959 | [X:[1.4268], M:[1.1464, 0.8247], q:[0.4151, 0.7368], qb:[0.4385, 0.69], phi:[0.2866]] | t^2.474 + t^2.579 + t^3.315 + t^3.421 + t^3.439 + t^4.175 + 3*t^4.28 + t^4.386 + t^4.948 + t^5.054 + t^5.14 + t^5.159 + 2*t^5.561 + t^5.79 + t^5.895 + t^5.914 - 2*t^6. - t^3.86/y - t^4.72/y - t^3.86*y - t^4.72*y | detail |