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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59019 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9873 | 1.1929 | 0.8276 | [X:[1.5218, 1.5218, 1.4782, 1.4782], M:[0.9782, 0.7311], q:[0.2563, 0.2563], qb:[0.2219, 0.2655], phi:[0.5]] | [X:[[0, -1], [0, -1], [0, 1], [0, 1]], M:[[0, 1], [3, 3]], q:[[-1, -1], [-1, -1]], qb:[[1, 2], [1, 0]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.19 + 3*t^2.93 + t^3. + t^3.07 + t^3.63 + t^3.76 + t^3.81 + t^4.39 + 4*t^4.43 + t^4.5 + 4*t^4.57 + 4*t^5.13 + t^5.19 + 2*t^5.26 + 2*t^5.31 + t^5.82 + 5*t^5.87 + t^5.93 + t^5.95 - 2*t^6. - t^6.07 + t^6.5 + 3*t^6.56 + t^6.58 + 5*t^6.63 + t^6.69 + t^6.74 + 5*t^6.76 + 3*t^6.81 + t^6.82 - t^6.87 + t^6.89 + t^7.26 + 4*t^7.32 + 11*t^7.37 + 2*t^7.39 + 4*t^7.43 + 2*t^7.45 + 13*t^7.5 + t^7.52 + 2*t^7.57 + t^7.61 + 3*t^7.63 - t^8. + t^8.01 + 8*t^8.06 + t^8.13 + t^8.15 + 2*t^8.19 + 2*t^8.24 - t^8.26 - 3*t^8.31 + t^8.32 - 2*t^8.37 - t^8.39 + t^8.69 + 4*t^8.76 + t^8.77 + 7*t^8.8 + 5*t^8.82 + 8*t^8.87 + 3*t^8.89 - 13*t^8.93 + 5*t^8.95 - t^4.5/y - t^6./y - t^6.69/y - t^7.43/y + t^7.5/y + t^7.57/y + (3*t^8.13)/y + t^8.26/y + t^8.31/y + t^8.82/y + (3*t^8.87)/y - t^8.89/y - (2*t^8.93)/y + t^8.95/y - t^4.5*y - t^6.*y - t^6.69*y - t^7.43*y + t^7.5*y + t^7.57*y + 3*t^8.13*y + t^8.26*y + t^8.31*y + t^8.82*y + 3*t^8.87*y - t^8.89*y - 2*t^8.93*y + t^8.95*y | g1^3*g2^3*t^2.19 + 3*g2*t^2.93 + t^3. + t^3.07/g2 + g1^3*g2^4*t^3.63 + g1^3*g2^2*t^3.76 + t^3.81/(g1^3*g2^3) + g1^6*g2^6*t^4.39 + 4*g2*t^4.43 + t^4.5 + (4*t^4.57)/g2 + 4*g1^3*g2^4*t^5.13 + g1^3*g2^3*t^5.19 + 2*g1^3*g2^2*t^5.26 + (2*t^5.31)/(g1^3*g2^3) + g1^6*g2^7*t^5.82 + 5*g2^2*t^5.87 + g2*t^5.93 + g1^6*g2^5*t^5.95 - 2*t^6. - t^6.07/g2 + g1^3*g2^6*t^6.5 + 3*g1^3*g2^5*t^6.56 + g1^9*g2^9*t^6.58 + 5*g1^3*g2^4*t^6.63 + g1^3*g2^3*t^6.69 + t^6.74/(g1^3*g2^2) + 5*g1^3*g2^2*t^6.76 + (3*t^6.81)/(g1^3*g2^3) + g1^3*g2*t^6.82 - t^6.87/(g1^3*g2^4) + g1^3*t^6.89 + g1^6*g2^8*t^7.26 + 4*g1^6*g2^7*t^7.32 + 11*g2^2*t^7.37 + 2*g1^6*g2^6*t^7.39 + 4*g2*t^7.43 + 2*g1^6*g2^5*t^7.45 + 13*t^7.5 + g1^6*g2^4*t^7.52 + (2*t^7.57)/g2 + t^7.61/(g1^6*g2^6) + (3*t^7.63)/g2^2 - g1^3*g2^6*t^8. + g1^9*g2^10*t^8.01 + 8*g1^3*g2^5*t^8.06 + g1^3*g2^4*t^8.13 + g1^9*g2^8*t^8.15 + 2*g1^3*g2^3*t^8.19 + (2*t^8.24)/(g1^3*g2^2) - g1^3*g2^2*t^8.26 - (3*t^8.31)/(g1^3*g2^3) + g1^3*g2*t^8.32 - (2*t^8.37)/(g1^3*g2^4) - g1^3*t^8.39 + g1^6*g2^9*t^8.69 + 4*g1^6*g2^8*t^8.76 + g1^12*g2^12*t^8.77 + 7*g2^3*t^8.8 + 5*g1^6*g2^7*t^8.82 + 8*g2^2*t^8.87 + 3*g1^6*g2^6*t^8.89 - 13*g2*t^8.93 + 5*g1^6*g2^5*t^8.95 - t^4.5/y - t^6./y - (g1^3*g2^3*t^6.69)/y - (g2*t^7.43)/y + t^7.5/y + t^7.57/(g2*y) + (3*g1^3*g2^4*t^8.13)/y + (g1^3*g2^2*t^8.26)/y + t^8.31/(g1^3*g2^3*y) + (g1^6*g2^7*t^8.82)/y + (3*g2^2*t^8.87)/y - (g1^6*g2^6*t^8.89)/y - (2*g2*t^8.93)/y + (g1^6*g2^5*t^8.95)/y - t^4.5*y - t^6.*y - g1^3*g2^3*t^6.69*y - g2*t^7.43*y + t^7.5*y + (t^7.57*y)/g2 + 3*g1^3*g2^4*t^8.13*y + g1^3*g2^2*t^8.26*y + (t^8.31*y)/(g1^3*g2^3) + g1^6*g2^7*t^8.82*y + 3*g2^2*t^8.87*y - g1^6*g2^6*t^8.89*y - 2*g2*t^8.93*y + g1^6*g2^5*t^8.95*y |
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 |
---|---|---|---|---|---|---|---|---|---|
57513 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ | 0.989 | 1.1977 | 0.8257 | [X:[1.5489, 1.4942, 1.5058, 1.4511], M:[0.9511, 0.7091], q:[0.2272, 0.2819], qb:[0.224, 0.267], phi:[0.5]] | t^2.13 + 2*t^2.85 + t^2.98 + t^3. + t^3.02 + t^3.64 + t^3.71 + t^3.77 + t^4.25 + 2*t^4.35 + 2*t^4.48 + t^4.5 + 2*t^4.52 + 2*t^4.65 + 2*t^4.98 + t^5.11 + t^5.13 + 2*t^5.14 + t^5.21 + t^5.27 + t^5.37 + 3*t^5.71 + t^5.77 + 2*t^5.84 + t^5.85 + t^5.87 + t^5.9 + t^5.97 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |