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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57976 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4401 | 1.626 | 0.8856 | [X:[1.3416], M:[1.0124, 0.9629], q:[0.4286, 0.4843], qb:[0.559, 0.5528], phi:[0.3292]] | [X:[[0, 4]], M:[[0, 6], [0, -18]], q:[[1, -7], [-2, 18]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}^{2}q_{2}$ | -1 | t^2.89 + t^2.94 + t^2.96 + t^3.04 + t^3.13 + t^3.93 + t^3.95 + t^4.02 + t^4.1 + t^4.12 + t^4.92 + t^4.94 + t^5.01 + t^5.09 + t^5.11 + t^5.18 + t^5.78 + t^5.85 + t^5.89 + t^5.91 + 2*t^5.93 + t^5.98 - t^6. + 2*t^6.07 + t^6.09 + t^6.17 + t^6.26 + t^6.82 + t^6.84 + t^6.88 + 2*t^6.89 + 2*t^6.91 + 2*t^6.97 + 2*t^6.99 + t^7.04 + 3*t^7.06 + t^7.08 + t^7.14 + 2*t^7.15 + t^7.23 + t^7.25 + t^7.32 + t^7.83 + 2*t^7.86 + t^7.88 + 2*t^7.9 + t^7.94 + 2*t^7.96 + 2*t^7.98 + t^7.99 + 2*t^8.03 + 3*t^8.05 + 2*t^8.07 + 2*t^8.12 + 2*t^8.14 + t^8.2 + 2*t^8.22 + t^8.23 + t^8.31 + t^8.67 + t^8.74 + 2*t^8.81 + t^8.83 + t^8.85 + t^8.87 + t^8.93 + t^8.96 + t^8.96/y^2 - t^3.99/y - t^4.98/y - t^6.88/y - t^6.93/y - t^6.95/y - t^7.02/y - t^7.12/y - t^7.86/y - t^7.92/y - t^7.94/y - t^8.01/y - t^8.11/y + t^8.83/y + t^8.85/y + t^8.98/y - t^3.99*y - t^4.98*y - t^6.88*y - t^6.93*y - t^6.95*y - t^7.02*y - t^7.12*y - t^7.86*y - t^7.92*y - t^7.94*y - t^8.01*y - t^8.11*y + t^8.83*y + t^8.85*y + t^8.98*y + t^8.96*y^2 | t^2.89/g2^18 + (g1^3*t^2.94)/g2^7 + t^2.96/g2^6 + g2^6*t^3.04 + (g2^19*t^3.13)/g1^3 + (g1^3*t^3.93)/g2^9 + t^3.95/g2^8 + g2^4*t^4.02 + g2^16*t^4.1 + (g2^17*t^4.12)/g1^3 + (g1^3*t^4.92)/g2^11 + t^4.94/g2^10 + g2^2*t^5.01 + g2^14*t^5.09 + (g2^15*t^5.11)/g1^3 + (g2^27*t^5.18)/g1^3 + t^5.78/g2^36 + t^5.85/g2^24 + (g1^6*t^5.89)/g2^14 + (g1^3*t^5.91)/g2^13 + (2*t^5.93)/g2^12 + (g1^3*t^5.98)/g2 - t^6. + 2*g2^12*t^6.07 + (g2^13*t^6.09)/g1^3 + (g2^25*t^6.17)/g1^3 + (g2^38*t^6.26)/g1^6 + (g1^3*t^6.82)/g2^27 + t^6.84/g2^26 + (g1^6*t^6.88)/g2^16 + (2*g1^3*t^6.89)/g2^15 + (2*t^6.91)/g2^14 + (2*g1^3*t^6.97)/g2^3 + (2*t^6.99)/g2^2 + g1^3*g2^9*t^7.04 + 3*g2^10*t^7.06 + (g2^11*t^7.08)/g1^3 + g2^22*t^7.14 + (2*g2^23*t^7.15)/g1^3 + (g2^35*t^7.23)/g1^3 + (g2^36*t^7.25)/g1^6 + (g2^48*t^7.32)/g1^6 + t^7.83/g2^28 + (2*g1^6*t^7.86)/g2^18 + (g1^3*t^7.88)/g2^17 + (2*t^7.9)/g2^16 + (g1^6*t^7.94)/g2^6 + (2*g1^3*t^7.96)/g2^5 + (2*t^7.98)/g2^4 + t^7.99/(g1^3*g2^3) + 2*g1^3*g2^7*t^8.03 + 3*g2^8*t^8.05 + (2*g2^9*t^8.07)/g1^3 + 2*g2^20*t^8.12 + (2*g2^21*t^8.14)/g1^3 + g2^32*t^8.2 + (2*g2^33*t^8.22)/g1^3 + (g2^34*t^8.23)/g1^6 + (g2^46*t^8.31)/g1^6 + t^8.67/g2^54 + t^8.74/g2^42 + (2*t^8.81)/g2^30 + (g1^9*t^8.83)/g2^21 + (g1^6*t^8.85)/g2^20 + (g1^3*t^8.87)/g2^19 + (g1^6*t^8.93)/g2^8 + t^8.96/g2^6 + t^8.96/(g2^6*y^2) - t^3.99/(g2^2*y) - t^4.98/(g2^4*y) - t^6.88/(g2^20*y) - (g1^3*t^6.93)/(g2^9*y) - t^6.95/(g2^8*y) - (g2^4*t^7.02)/y - (g2^17*t^7.12)/(g1^3*y) - t^7.86/(g2^22*y) - (g1^3*t^7.92)/(g2^11*y) - t^7.94/(g2^10*y) - (g2^2*t^8.01)/y - (g2^15*t^8.11)/(g1^3*y) + (g1^3*t^8.83)/(g2^25*y) + t^8.85/(g2^24*y) + (g1^3*t^8.98)/(g2*y) - (t^3.99*y)/g2^2 - (t^4.98*y)/g2^4 - (t^6.88*y)/g2^20 - (g1^3*t^6.93*y)/g2^9 - (t^6.95*y)/g2^8 - g2^4*t^7.02*y - (g2^17*t^7.12*y)/g1^3 - (t^7.86*y)/g2^22 - (g1^3*t^7.92*y)/g2^11 - (t^7.94*y)/g2^10 - g2^2*t^8.01*y - (g2^15*t^8.11*y)/g1^3 + (g1^3*t^8.83*y)/g2^25 + (t^8.85*y)/g2^24 + (g1^3*t^8.98*y)/g2 + (t^8.96*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
57307 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4518 | 1.6306 | 0.8903 | [X:[1.3795], M:[0.9159, 0.9457], q:[0.5105, 0.5119], qb:[0.5736, 0.5425], phi:[0.3103]] | t^2.748 + t^2.792 + t^2.837 + t^3.159 + t^3.256 + t^4.09 + t^4.094 + t^4.138 + t^4.183 + t^4.187 + t^5.02 + t^5.025 + t^5.114 + t^5.118 + t^5.495 + t^5.529 + t^5.533 + t^5.54 + 2*t^5.585 + t^5.629 + t^5.674 + t^5.906 + t^5.951 - 3*t^6. - t^3.931/y - t^4.862/y - t^3.931*y - t^4.862*y | detail |