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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58853 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.989 | 1.1975 | 0.8258 | [X:[1.5491, 1.5, 1.5, 1.4509], M:[0.9509, 0.7115], q:[0.2301, 0.2792], qb:[0.2208, 0.2699], phi:[0.5]] | [X:[[0, -1], [0, 0], [0, 0], [0, 1]], M:[[0, 1], [3, 2]], q:[[-1, 0], [-1, -1]], qb:[[1, 1], [1, 0]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$ | -1 | t^2.13 + 2*t^2.85 + 3*t^3. + t^3.63 + t^3.72 + t^3.78 + t^4.27 + 2*t^4.35 + 5*t^4.5 + 2*t^4.65 + 2*t^4.99 + 4*t^5.13 + t^5.22 + t^5.28 + t^5.37 + 3*t^5.71 + t^5.77 + 4*t^5.85 + t^5.92 - t^6. - 3*t^6.15 + t^6.4 + 5*t^6.49 + 3*t^6.57 + 8*t^6.63 + t^6.72 + 3*t^6.78 - 2*t^6.87 + t^6.93 + t^7.01 + 2*t^7.12 + 4*t^7.21 + 5*t^7.27 + 14*t^7.35 + 2*t^7.42 + t^7.44 + 13*t^7.5 + t^7.56 + 2*t^7.65 + 3*t^7.84 + t^7.9 + 5*t^7.99 + t^8.05 + t^8.07 + 3*t^8.13 + 2*t^8.22 - t^8.28 - 3*t^8.37 - t^8.43 - 3*t^8.51 + t^8.54 + 4*t^8.56 + 5*t^8.62 + 9*t^8.71 + 9*t^8.77 - 3*t^8.85 + 5*t^8.92 + t^8.94 - t^4.5/y - t^6./y - t^6.63/y - t^7.35/y + t^7.5/y + t^7.65/y + (2*t^7.99)/y + (2*t^8.13)/y + t^8.37/y + t^8.71/y + (4*t^8.85)/y + t^8.92/y - t^4.5*y - t^6.*y - t^6.63*y - t^7.35*y + t^7.5*y + t^7.65*y + 2*t^7.99*y + 2*t^8.13*y + t^8.37*y + t^8.71*y + 4*t^8.85*y + t^8.92*y | g1^3*g2^2*t^2.13 + 2*g2*t^2.85 + 3*t^3. + g1^3*g2^2*t^3.63 + t^3.72/(g1^3*g2) + g1^3*g2*t^3.78 + g1^6*g2^4*t^4.27 + 2*g2*t^4.35 + 5*t^4.5 + (2*t^4.65)/g2 + 2*g1^3*g2^3*t^4.99 + 4*g1^3*g2^2*t^5.13 + t^5.22/(g1^3*g2) + g1^3*g2*t^5.28 + t^5.37/(g1^3*g2^2) + 3*g2^2*t^5.71 + g1^6*g2^4*t^5.77 + 4*g2*t^5.85 + g1^6*g2^3*t^5.92 - t^6. - (3*t^6.15)/g2 + g1^9*g2^6*t^6.4 + 5*g1^3*g2^3*t^6.49 + (3*t^6.57)/g1^3 + 8*g1^3*g2^2*t^6.63 + t^6.72/(g1^3*g2) + 3*g1^3*g2*t^6.78 - (2*t^6.87)/(g1^3*g2^2) + g1^3*t^6.93 + t^7.01/(g1^3*g2^3) + 2*g1^6*g2^5*t^7.12 + 4*g2^2*t^7.21 + 5*g1^6*g2^4*t^7.27 + 14*g2*t^7.35 + 2*g1^6*g2^3*t^7.42 + t^7.44/(g1^6*g2^2) + 13*t^7.5 + g1^6*g2^2*t^7.56 + (2*t^7.65)/g2 + 3*g1^3*g2^4*t^7.84 + g1^9*g2^6*t^7.9 + 5*g1^3*g2^3*t^7.99 + g1^9*g2^5*t^8.05 + t^8.07/g1^3 + 3*g1^3*g2^2*t^8.13 + (2*t^8.22)/(g1^3*g2) - g1^3*g2*t^8.28 - (3*t^8.37)/(g1^3*g2^2) - g1^3*t^8.43 - (3*t^8.51)/(g1^3*g2^3) + g1^12*g2^8*t^8.54 + 4*g2^3*t^8.56 + 5*g1^6*g2^5*t^8.62 + 9*g2^2*t^8.71 + 9*g1^6*g2^4*t^8.77 - 3*g2*t^8.85 + 5*g1^6*g2^3*t^8.92 + t^8.94/(g1^6*g2^2) - t^4.5/y - t^6./y - (g1^3*g2^2*t^6.63)/y - (g2*t^7.35)/y + t^7.5/y + t^7.65/(g2*y) + (2*g1^3*g2^3*t^7.99)/y + (2*g1^3*g2^2*t^8.13)/y + t^8.37/(g1^3*g2^2*y) + (g2^2*t^8.71)/y + (4*g2*t^8.85)/y + (g1^6*g2^3*t^8.92)/y - t^4.5*y - t^6.*y - g1^3*g2^2*t^6.63*y - g2*t^7.35*y + t^7.5*y + (t^7.65*y)/g2 + 2*g1^3*g2^3*t^7.99*y + 2*g1^3*g2^2*t^8.13*y + (t^8.37*y)/(g1^3*g2^2) + g2^2*t^8.71*y + 4*g2*t^8.85*y + g1^6*g2^3*t^8.92*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 |