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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59498 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.4757 | 1.6805 | 0.8781 | [X:[1.3495], M:[0.9757, 0.6748, 0.9757], q:[0.5, 0.5243], qb:[0.5, 0.5243], phi:[0.3252]] | [X:[[0, 0, 2]], M:[[-1, 1, -6], [0, 0, 1], [1, -1, 0]], q:[[-1, 0, 0], [0, -1, 6]], 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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${}M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{6}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | t^2.02 + 3*t^2.93 + t^3. + t^3.15 + 4*t^4.05 + t^4.12 + 4*t^4.95 + 3*t^5.02 + t^5.1 + t^5.17 + 2*t^5.55 + 2*t^5.62 + 6*t^5.85 + t^5.93 - 3*t^6. + 5*t^6.07 + 2*t^6.15 + t^6.29 + 2*t^6.52 + 2*t^6.6 - 2*t^6.9 + 10*t^6.98 + 7*t^7.05 + 2*t^7.12 + 4*t^7.19 + t^7.27 + 2*t^7.43 + 2*t^7.57 + 4*t^7.65 + 7*t^7.88 + 6*t^7.95 - t^8.02 + 10*t^8.1 + 6*t^8.17 + 2*t^8.24 + t^8.32 - 2*t^8.4 + 4*t^8.55 + 2*t^8.62 + 2*t^8.69 + 2*t^8.77 + 10*t^8.78 + t^8.85 - 10*t^8.93 + t^8.93/y^2 - t^3.98/y - t^4.95/y - t^6./y - (3*t^6.9)/y - (2*t^6.98)/y - t^7.12/y - (3*t^7.88)/y + (3*t^7.95)/y - t^8.1/y + t^8.17/y + (3*t^8.85)/y - t^3.98*y - t^4.95*y - t^6.*y - 3*t^6.9*y - 2*t^6.98*y - t^7.12*y - 3*t^7.88*y + 3*t^7.95*y - t^8.1*y + t^8.17*y + 3*t^8.85*y + t^8.93*y^2 | g3*t^2.02 + (g1*t^2.93)/g2 + (g2*t^2.93)/(g1*g3^6) + t^2.93/g3^3 + t^3. + g3^6*t^3.15 + (g2*t^4.05)/(g1*g3) + 2*g3^2*t^4.05 + (g1*g3^5*t^4.05)/g2 + g3^5*t^4.12 + (g2*t^4.95)/(g1*g3^5) + (2*t^4.95)/g3^2 + (g1*g3*t^4.95)/g2 + (g2*t^5.02)/(g1*g3^2) + g3*t^5.02 + (g1*g3^4*t^5.02)/g2 + g3^4*t^5.1 + g3^7*t^5.17 + (g1^2*g2*t^5.55)/g3 + (g3^5*t^5.55)/(g1^2*g2) + (g1*g2^2*t^5.62)/g3 + (g3^11*t^5.62)/(g1*g2^2) + (g1^2*t^5.85)/g2^2 + (g2^2*t^5.85)/(g1^2*g3^12) + (g2*t^5.85)/(g1*g3^9) + (2*t^5.85)/g3^6 + (g1*t^5.85)/(g2*g3^3) + t^5.93/g3^3 - 3*t^6. + (g2*t^6.07)/g1 + 3*g3^3*t^6.07 + (g1*g3^6*t^6.07)/g2 + 2*g3^6*t^6.15 + g3^12*t^6.29 + (g1^2*g2*t^6.52)/g3^2 + (g3^4*t^6.52)/(g1^2*g2) + (g1*g2^2*t^6.6)/g3^2 + (g3^10*t^6.6)/(g1*g2^2) - (g2*t^6.9)/(g1*g3^7) - (g1*t^6.9)/(g2*g3) + (g2^2*t^6.98)/(g1^2*g3^7) + (3*g2*t^6.98)/(g1*g3^4) + (2*t^6.98)/g3 + (3*g1*g3^2*t^6.98)/g2 + (g1^2*g3^5*t^6.98)/g2^2 + (2*g2*t^7.05)/(g1*g3) + 3*g3^2*t^7.05 + (2*g1*g3^5*t^7.05)/g2 + 2*g3^5*t^7.12 + (g2*g3^5*t^7.19)/g1 + 2*g3^8*t^7.19 + (g1*g3^11*t^7.19)/g2 + g3^11*t^7.27 + t^7.43/(g1^3*g3^3) + (g1^3*t^7.43)/g3^3 - (g1*g2^2*t^7.5)/g3^6 + (g1^2*g2*t^7.5)/g3^3 + (g3^3*t^7.5)/(g1^2*g2) - (g3^6*t^7.5)/(g1*g2^2) + (g1*g2^2*t^7.57)/g3^3 + (g3^9*t^7.57)/(g1*g2^2) + g1*g2^2*t^7.65 + (g2^3*t^7.65)/g3^3 + (g3^12*t^7.65)/(g1*g2^2) + (g3^15*t^7.65)/g2^3 + (g2^2*t^7.88)/(g1^2*g3^11) + (g2*t^7.88)/(g1*g3^8) + (3*t^7.88)/g3^5 + (g1*t^7.88)/(g2*g3^2) + (g1^2*g3*t^7.88)/g2^2 + (g2^2*t^7.95)/(g1^2*g3^8) + (g2*t^7.95)/(g1*g3^5) + (2*t^7.95)/g3^2 + (g1*g3*t^7.95)/g2 + (g1^2*g3^4*t^7.95)/g2^2 + (g2*t^8.02)/(g1*g3^2) - 3*g3*t^8.02 + (g1*g3^4*t^8.02)/g2 + (g2^2*t^8.1)/(g1^2*g3^2) + (g2*g3*t^8.1)/g1 + 6*g3^4*t^8.1 + (g1*g3^7*t^8.1)/g2 + (g1^2*g3^10*t^8.1)/g2^2 + (2*g2*g3^4*t^8.17)/g1 + 2*g3^7*t^8.17 + (2*g1*g3^10*t^8.17)/g2 + 2*g3^10*t^8.24 + g3^13*t^8.32 - (g1^2*g2*t^8.4)/g3^7 - t^8.4/(g1^2*g2*g3) - (g1*g2^2*t^8.48)/g3^7 + (g1^2*g2*t^8.48)/g3^4 + (g3^2*t^8.48)/(g1^2*g2) - (g3^5*t^8.48)/(g1*g2^2) + (g1*g2^2*t^8.55)/g3^4 + (g1^2*g2*t^8.55)/g3 + (g3^5*t^8.55)/(g1^2*g2) + (g3^8*t^8.55)/(g1*g2^2) + (g1*g2^2*t^8.62)/g3 + (g3^11*t^8.62)/(g1*g2^2) + g1^2*g2*g3^5*t^8.69 + (g3^11*t^8.69)/(g1^2*g2) + g1*g2^2*g3^5*t^8.77 + (g3^17*t^8.77)/(g1*g2^2) + (g1^3*t^8.78)/g2^3 + (g2^3*t^8.78)/(g1^3*g3^18) + (g2^2*t^8.78)/(g1^2*g3^15) + (2*g2*t^8.78)/(g1*g3^12) + (2*t^8.78)/g3^9 + (2*g1*t^8.78)/(g2*g3^6) + (g1^2*t^8.78)/(g2^2*g3^3) + t^8.85/g3^6 - (4*g1*t^8.93)/g2 - (4*g2*t^8.93)/(g1*g3^6) - (2*t^8.93)/g3^3 + t^8.93/(g3^3*y^2) - t^3.98/(g3*y) - t^4.95/(g3^2*y) - t^6./y - (g2*t^6.9)/(g1*g3^7*y) - t^6.9/(g3^4*y) - (g1*t^6.9)/(g2*g3*y) - (2*t^6.98)/(g3*y) - (g3^5*t^7.12)/y - (g2*t^7.88)/(g1*g3^8*y) - t^7.88/(g3^5*y) - (g1*t^7.88)/(g2*g3^2*y) + (g2*t^7.95)/(g1*g3^5*y) + t^7.95/(g3^2*y) + (g1*g3*t^7.95)/(g2*y) - (g3^4*t^8.1)/y + (g3^7*t^8.17)/y + (g2*t^8.85)/(g1*g3^9*y) + t^8.85/(g3^6*y) + (g1*t^8.85)/(g2*g3^3*y) - (t^3.98*y)/g3 - (t^4.95*y)/g3^2 - t^6.*y - (g2*t^6.9*y)/(g1*g3^7) - (t^6.9*y)/g3^4 - (g1*t^6.9*y)/(g2*g3) - (2*t^6.98*y)/g3 - g3^5*t^7.12*y - (g2*t^7.88*y)/(g1*g3^8) - (t^7.88*y)/g3^5 - (g1*t^7.88*y)/(g2*g3^2) + (g2*t^7.95*y)/(g1*g3^5) + (t^7.95*y)/g3^2 + (g1*g3*t^7.95*y)/g2 - g3^4*t^8.1*y + g3^7*t^8.17*y + (g2*t^8.85*y)/(g1*g3^9) + (t^8.85*y)/g3^6 + (g1*t^8.85*y)/(g2*g3^3) + (t^8.93*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 |
---|---|---|---|---|---|---|---|---|---|
57622 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4759 | 1.6848 | 0.876 | [X:[1.3387], M:[0.9553, 0.6693], q:[0.4818, 0.5265], qb:[0.5182, 0.4896], phi:[0.3307]] | t^2.01 + t^2.87 + t^2.91 + t^2.98 + t^3. + t^3.05 + t^3.91 + 2*t^4.02 + t^4.04 + t^4.13 + t^4.87 + t^4.9 + t^4.92 + 2*t^4.98 + t^5.01 + t^5.03 + t^5.06 + t^5.12 + t^5.46 + t^5.48 + t^5.57 + t^5.6 + t^5.73 + t^5.78 + t^5.83 + t^5.84 + t^5.89 + 2*t^5.91 + t^5.95 + t^5.96 + t^5.98 - 3*t^6. - t^3.99/y - t^4.98/y - t^6./y - t^3.99*y - t^4.98*y - t^6.*y | detail |