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 |
---|---|---|---|---|---|---|---|---|---|
61134 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 1.4459 | 1.7268 | 0.8373 | [X:[], M:[0.7613, 0.8, 0.7823, 1.1613], q:[0.4285, 0.3721], qb:[0.4102, 0.3892], phi:[0.4]] | [X:[], M:[[1, 0, 1], [0, 0, 0], [1, 1, 0], [1, 0, 1]], 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 |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -3 | 2*t^2.28 + 2*t^2.35 + 2*t^2.4 + t^2.45 + 2*t^3.48 + t^3.55 + 3*t^4.57 + 4*t^4.63 + 5*t^4.68 + 3*t^4.69 + t^4.72 + 2*t^4.74 + 5*t^4.75 + t^4.77 + 5*t^4.8 + t^4.83 + 3*t^4.85 + t^4.89 + t^4.91 + t^4.92 + 4*t^5.77 + 5*t^5.83 + 4*t^5.88 + 2*t^5.89 + t^5.92 + t^5.94 + 2*t^5.95 + t^5.97 - 3*t^6. + t^6.03 - t^6.06 + t^6.09 - t^6.17 + 4*t^6.85 + 6*t^6.91 + t^6.95 + 11*t^6.97 + 6*t^6.98 + 2*t^7. + 3*t^7.02 + 13*t^7.03 + 4*t^7.04 + 2*t^7.05 + 2*t^7.06 + 11*t^7.08 + 9*t^7.09 + t^7.1 + 3*t^7.11 + 3*t^7.12 + 6*t^7.14 + 10*t^7.15 + 5*t^7.17 + 2*t^7.18 + 2*t^7.19 + 9*t^7.2 + t^7.22 + 4*t^7.23 + 6*t^7.25 + t^7.26 + 4*t^7.29 + 3*t^7.31 + t^7.32 + t^7.34 + t^7.36 + t^7.46 + 6*t^8.05 + 9*t^8.11 + 10*t^8.17 + 8*t^8.18 + 3*t^8.2 + 2*t^8.22 + 12*t^8.23 + 3*t^8.24 + 3*t^8.25 + 2*t^8.26 + 5*t^8.29 + 4*t^8.31 + t^8.32 + 3*t^8.34 - 6*t^8.35 + 3*t^8.37 + 2*t^8.38 + t^8.39 - 6*t^8.4 - 2*t^8.41 + t^8.43 - 6*t^8.45 - 2*t^8.46 - 2*t^8.48 + t^8.49 - 4*t^8.52 - t^8.54 - 3*t^8.57 - t^8.6 - t^8.62 - t^4.2/y - t^5.4/y - (2*t^6.48)/y - (2*t^6.55)/y - (2*t^6.6)/y - t^6.65/y + t^7.57/y + (4*t^7.63)/y + t^7.68/y + t^7.69/y + (2*t^7.74)/y + (2*t^7.75)/y + (2*t^7.8)/y + (2*t^7.85)/y + t^7.92/y + t^8.77/y + (2*t^8.83)/y - (2*t^8.88)/y - t^8.89/y - (3*t^8.95)/y - t^4.2*y - t^5.4*y - 2*t^6.48*y - 2*t^6.55*y - 2*t^6.6*y - t^6.65*y + t^7.57*y + 4*t^7.63*y + t^7.68*y + t^7.69*y + 2*t^7.74*y + 2*t^7.75*y + 2*t^7.8*y + 2*t^7.85*y + t^7.92*y + t^8.77*y + 2*t^8.83*y - 2*t^8.88*y - t^8.89*y - 3*t^8.95*y | 2*g1*g3*t^2.28 + 2*g1*g2*t^2.35 + 2*t^2.4 + t^2.45/(g1*g2) + 2*g1*g3*t^3.48 + g1*g2*t^3.55 + 3*g1^2*g3^2*t^4.57 + 4*g1^2*g2*g3*t^4.63 + 5*g1*g3*t^4.68 + 3*g1^2*g2^2*t^4.69 + (g1*t^4.72)/(g2*g3) + (2*g3*t^4.74)/g2 + 5*g1*g2*t^4.75 + g2*g3^2*t^4.77 + 5*t^4.8 + g2^2*g3*t^4.83 + (3*t^4.85)/(g1*g2) + t^4.89/(g1*g2^2*g3^2) + t^4.91/(g1^2*g2^2) + t^4.92/(g1*g3) + 4*g1^2*g3^2*t^5.77 + 5*g1^2*g2*g3*t^5.83 + 4*g1*g3*t^5.88 + 2*g1^2*g2^2*t^5.89 + (g1*t^5.92)/(g2*g3) + (g3*t^5.94)/g2 + 2*g1*g2*t^5.95 + g2*g3^2*t^5.97 - 3*t^6. + g2^2*g3*t^6.03 - (g2*t^6.06)/g3 + t^6.09/(g1*g2^2*g3^2) - t^6.17/(g1^2*g2*g3) + 4*g1^3*g3^3*t^6.85 + 6*g1^3*g2*g3^2*t^6.91 + g1^3*t^6.95 + 11*g1^2*g3^2*t^6.97 + 6*g1^3*g2^2*g3*t^6.98 + (2*g1^2*t^7.)/g2 + (3*g1*g3^2*t^7.02)/g2 + 13*g1^2*g2*g3*t^7.03 + 4*g1^3*g2^3*t^7.04 + 2*g1*g2*g3^3*t^7.05 + (2*g1^2*t^7.06)/g3 + 11*g1*g3*t^7.08 + 9*g1^2*g2^2*t^7.09 + g3^3*t^7.1 + 3*g1*g2^2*g3^2*t^7.11 + (3*g1*t^7.12)/(g2*g3) + (6*g3*t^7.14)/g2 + 10*g1*g2*t^7.15 + (2*t^7.17)/(g2^2*g3) + 3*g2*g3^2*t^7.17 + 2*g1*g2^3*g3*t^7.18 + (2*g3*t^7.19)/(g1*g2^2) + 9*t^7.2 + (g3^2*t^7.22)/g1 + t^7.23/(g2*g3^2) + 3*g2^2*g3*t^7.23 + (6*t^7.25)/(g1*g2) + (g2*t^7.26)/g3 + g2^3*t^7.29 + (3*t^7.29)/(g1*g2^2*g3^2) + (3*t^7.31)/(g1^2*g2^2) + t^7.32/(g1*g3) + t^7.34/(g1^2*g2^3*g3^2) + t^7.36/(g1^3*g2^3) + t^7.46/(g1^3*g2^3*g3^3) + 6*g1^3*g3^3*t^8.05 + 9*g1^3*g2*g3^2*t^8.11 + 10*g1^2*g3^2*t^8.17 + 8*g1^3*g2^2*g3*t^8.18 + (3*g1^2*t^8.2)/g2 + (2*g1*g3^2*t^8.22)/g2 + 12*g1^2*g2*g3*t^8.23 + 3*g1^3*g2^3*t^8.24 + 3*g1*g2*g3^3*t^8.25 + (2*g1^2*t^8.26)/g3 + 5*g1^2*g2^2*t^8.29 + 4*g1*g2^2*g3^2*t^8.31 + (g1*t^8.32)/(g2*g3) + (3*g3*t^8.34)/g2 - 6*g1*g2*t^8.35 + (2*t^8.37)/(g2^2*g3) + g2*g3^2*t^8.37 + 2*g1*g2^3*g3*t^8.38 + (g3*t^8.39)/(g1*g2^2) - 6*t^8.4 - (2*g1*g2^2*t^8.41)/g3 + g2^2*g3*t^8.43 - (6*t^8.45)/(g1*g2) - (2*g2*t^8.46)/g3 - (2*g2*g3*t^8.48)/g1 + t^8.49/(g1*g2^2*g3^2) - (4*t^8.52)/(g1*g3) - (g2^2*t^8.54)/g1 - (3*t^8.57)/(g1^2*g2*g3) - t^8.6/(g1^2*g2^2*g3^3) - t^8.62/(g1^3*g2^2*g3) - t^4.2/y - t^5.4/y - (2*g1*g3*t^6.48)/y - (2*g1*g2*t^6.55)/y - (2*t^6.6)/y - t^6.65/(g1*g2*y) + (g1^2*g3^2*t^7.57)/y + (4*g1^2*g2*g3*t^7.63)/y + (g1*g3*t^7.68)/y + (g1^2*g2^2*t^7.69)/y + (2*g3*t^7.74)/(g2*y) + (2*g1*g2*t^7.75)/y + (2*t^7.8)/y + (2*t^7.85)/(g1*g2*y) + t^7.92/(g1*g3*y) + (g1^2*g3^2*t^8.77)/y + (2*g1^2*g2*g3*t^8.83)/y - (2*g1*g3*t^8.88)/y - (g1^2*g2^2*t^8.89)/y - (3*g1*g2*t^8.95)/y - t^4.2*y - t^5.4*y - 2*g1*g3*t^6.48*y - 2*g1*g2*t^6.55*y - 2*t^6.6*y - (t^6.65*y)/(g1*g2) + g1^2*g3^2*t^7.57*y + 4*g1^2*g2*g3*t^7.63*y + g1*g3*t^7.68*y + g1^2*g2^2*t^7.69*y + (2*g3*t^7.74*y)/g2 + 2*g1*g2*t^7.75*y + 2*t^7.8*y + (2*t^7.85*y)/(g1*g2) + (t^7.92*y)/(g1*g3) + g1^2*g3^2*t^8.77*y + 2*g1^2*g2*g3*t^8.83*y - 2*g1*g3*t^8.88*y - g1^2*g2^2*t^8.89*y - 3*g1*g2*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 |
---|---|---|---|---|---|---|---|---|---|
58389 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4606 | 1.7503 | 0.8345 | [X:[], M:[0.7823, 0.8, 0.7823], q:[0.4178, 0.3824], qb:[0.3999, 0.3999], phi:[0.4]] | 4*t^2.35 + 2*t^2.4 + 2*t^2.45 + 2*t^3.55 + 10*t^4.69 + 11*t^4.75 + 13*t^4.8 + 7*t^4.85 + 3*t^4.91 + 7*t^5.89 + 5*t^5.95 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |