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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58363 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4277 | 1.6927 | 0.8435 | [X:[], M:[0.7823, 1.1779, 0.8], q:[0.3977, 0.402], qb:[0.4201, 0.3803], phi:[0.4]] | [X:[], M:[[1, 0, 1], [-1, -1, 0], [0, 0, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.33 + 2*t^2.35 + 2*t^2.4 + t^2.45 + 2*t^3.53 + t^3.55 + t^3.67 + t^4.67 + 2*t^4.68 + 3*t^4.69 + 3*t^4.73 + t^4.74 + 5*t^4.75 + 2*t^4.79 + 5*t^4.8 + t^4.81 + 3*t^4.85 + t^4.86 + t^4.87 + t^4.91 + 2*t^5.87 + 4*t^5.88 + 2*t^5.89 + 4*t^5.93 + t^5.94 + 2*t^5.95 + 2*t^5.99 - 2*t^6. + 2*t^6.01 + t^6.06 + 2*t^6.07 + t^7. + 2*t^7.01 + t^7.02 + 3*t^7.03 + 4*t^7.04 + 6*t^7.07 + 9*t^7.08 + 11*t^7.09 + t^7.12 + 7*t^7.13 + 5*t^7.14 + 12*t^7.15 + t^7.18 + 7*t^7.19 + 10*t^7.2 + 6*t^7.21 + t^7.22 + t^7.24 + 7*t^7.25 + 3*t^7.26 + t^7.27 + 4*t^7.31 + t^7.33 + t^7.36 + t^7.38 + 2*t^8.2 + 4*t^8.21 + 6*t^8.23 + 3*t^8.24 + 6*t^8.27 + 12*t^8.28 + 7*t^8.29 + t^8.32 + 6*t^8.33 + 4*t^8.34 - t^8.35 + t^8.36 + 5*t^8.39 - 3*t^8.4 + 5*t^8.41 + t^8.44 - 4*t^8.45 + t^8.47 + t^8.53 - t^4.2/y - t^5.4/y - t^6.53/y - (2*t^6.55)/y - (2*t^6.6)/y - t^6.65/y + (2*t^7.68)/y + t^7.69/y + (2*t^7.75)/y + t^7.79/y + (2*t^7.8)/y + (2*t^7.85)/y + t^8.87/y + (3*t^8.88)/y - t^8.89/y - (3*t^8.95)/y + t^8.99/y - t^4.2*y - t^5.4*y - t^6.53*y - 2*t^6.55*y - 2*t^6.6*y - t^6.65*y + 2*t^7.68*y + t^7.69*y + 2*t^7.75*y + t^7.79*y + 2*t^7.8*y + 2*t^7.85*y + t^8.87*y + 3*t^8.88*y - t^8.89*y - 3*t^8.95*y + t^8.99*y | t^2.33/(g1*g2) + 2*g1*g3*t^2.35 + 2*t^2.4 + t^2.45/(g1*g3) + (2*t^3.53)/(g1*g2) + g1*g3*t^3.55 + g1*g2*t^3.67 + t^4.67/(g1^2*g2^2) + (2*g3*t^4.68)/g2 + 3*g1^2*g3^2*t^4.69 + (3*t^4.73)/(g1*g2) + g2*g3^2*t^4.74 + 5*g1*g3*t^4.75 + t^4.79/(g1*g2^2*g3^2) + t^4.79/(g1^2*g2*g3) + 5*t^4.8 + (g1*t^4.81)/(g2*g3) + (3*t^4.85)/(g1*g3) + g2^2*g3*t^4.86 + g1*g2*t^4.87 + t^4.91/(g1^2*g3^2) + (2*t^5.87)/(g1^2*g2^2) + (4*g3*t^5.88)/g2 + 2*g1^2*g3^2*t^5.89 + (4*t^5.93)/(g1*g2) + g2*g3^2*t^5.94 + 2*g1*g3*t^5.95 + t^5.99/(g1*g2^2*g3^2) + t^5.99/(g1^2*g2*g3) - 2*t^6. + (g1*t^6.01)/(g2*g3) + g1^2*g2*g3*t^6.01 + g2^2*g3*t^6.06 + 2*g1*g2*t^6.07 + t^7./(g1^3*g2^3) + (2*g3*t^7.01)/(g1*g2^2) + g3^3*t^7.02 + (3*g1*g3^2*t^7.03)/g2 + 4*g1^3*g3^3*t^7.04 + (6*t^7.07)/(g1^2*g2^2) + (8*g3*t^7.08)/g2 + (g3^2*t^7.08)/g1 + 9*g1^2*g3^2*t^7.09 + 2*g1*g2*g3^3*t^7.09 + t^7.12/(g1^3*g2^2*g3) + (6*t^7.13)/(g1*g2) + t^7.13/(g1^2*g2^3*g3^2) + (2*t^7.14)/(g2^2*g3) + 3*g2*g3^2*t^7.14 + (2*g1^2*t^7.15)/g2 + 10*g1*g3*t^7.15 + t^7.18/(g1^3*g2^3*g3^3) + (3*t^7.19)/(g1*g2^2*g3^2) + (3*t^7.19)/(g1^2*g2*g3) + (g2*g3*t^7.19)/g1 + 10*t^7.2 + (3*g1*t^7.21)/(g2*g3) + 2*g1^2*g2*g3*t^7.21 + g1*g2^2*g3^2*t^7.21 + g1^3*t^7.22 + t^7.24/(g1^3*g2*g3^2) + t^7.25/(g1^2*g2^2*g3^3) + (6*t^7.25)/(g1*g3) + 3*g2^2*g3*t^7.26 + g1*g2*t^7.27 + (g2^2*t^7.31)/g1 + (3*t^7.31)/(g1^2*g3^2) + g1^2*g2^2*t^7.33 + t^7.36/(g1^3*g3^3) + g2^3*t^7.38 + (2*t^8.2)/(g1^3*g2^3) + (4*g3*t^8.21)/(g1*g2^2) + (6*g1*g3^2*t^8.23)/g2 + 3*g1^3*g3^3*t^8.24 + (6*t^8.27)/(g1^2*g2^2) + (10*g3*t^8.28)/g2 + (2*g3^2*t^8.28)/g1 + 5*g1^2*g3^2*t^8.29 + 2*g1*g2*g3^3*t^8.29 + t^8.32/(g1^3*g2^2*g3) + (4*t^8.33)/(g1*g2) + (2*t^8.33)/(g1^2*g2^3*g3^2) + (3*t^8.34)/(g2^2*g3) + g2*g3^2*t^8.34 + (2*g1^2*t^8.35)/g2 - 3*g1*g3*t^8.35 + g1^3*g2*g3^2*t^8.36 + t^8.39/(g1*g2^2*g3^2) + (3*t^8.39)/(g1^2*g2*g3) + (g2*g3*t^8.39)/g1 - 3*t^8.4 + (g1*t^8.41)/(g2*g3) + 3*g1^2*g2*g3*t^8.41 + g1*g2^2*g3^2*t^8.41 + t^8.44/(g1^3*g2*g3^2) - (4*t^8.45)/(g1*g3) - t^8.46/(g2*g3^2) + g2^2*g3*t^8.46 + g1*g2*t^8.47 + g1^2*g2^2*t^8.53 - t^4.2/y - t^5.4/y - t^6.53/(g1*g2*y) - (2*g1*g3*t^6.55)/y - (2*t^6.6)/y - t^6.65/(g1*g3*y) + (2*g3*t^7.68)/(g2*y) + (g1^2*g3^2*t^7.69)/y + (2*g1*g3*t^7.75)/y + t^7.79/(g1^2*g2*g3*y) + (2*t^7.8)/y + (2*t^7.85)/(g1*g3*y) + t^8.87/(g1^2*g2^2*y) + (3*g3*t^8.88)/(g2*y) - (g1^2*g3^2*t^8.89)/y - (3*g1*g3*t^8.95)/y + t^8.99/(g1^2*g2*g3*y) - t^4.2*y - t^5.4*y - (t^6.53*y)/(g1*g2) - 2*g1*g3*t^6.55*y - 2*t^6.6*y - (t^6.65*y)/(g1*g3) + (2*g3*t^7.68*y)/g2 + g1^2*g3^2*t^7.69*y + 2*g1*g3*t^7.75*y + (t^7.79*y)/(g1^2*g2*g3) + 2*t^7.8*y + (2*t^7.85*y)/(g1*g3) + (t^8.87*y)/(g1^2*g2^2) + (3*g3*t^8.88*y)/g2 - g1^2*g3^2*t^8.89*y - 3*g1*g3*t^8.95*y + (t^8.99*y)/(g1^2*g2*g3) |
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 |
---|---|---|---|---|---|---|---|---|---|
57353 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4112 | 1.6637 | 0.8482 | [M:[0.7823, 1.1779], q:[0.3977, 0.402], qb:[0.4201, 0.3803], phi:[0.4]] | t^2.334 + 2*t^2.347 + t^2.4 + t^2.453 + 2*t^3.534 + t^3.547 + t^3.6 + t^3.666 + t^4.668 + 2*t^4.681 + 3*t^4.694 + 2*t^4.734 + t^4.742 + 3*t^4.747 + t^4.787 + t^4.792 + 3*t^4.8 + t^4.805 + 2*t^4.853 + t^4.861 + t^4.866 + t^4.906 + 2*t^5.868 + 4*t^5.881 + 2*t^5.894 + 3*t^5.934 + t^5.942 + 3*t^5.947 + t^5.987 + t^5.992 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |