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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57975 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4425 | 1.6145 | 0.8935 | [X:[1.4159], M:[0.8318, 0.9206], q:[0.5841, 0.5397], qb:[0.5841, 0.5397], phi:[0.2921]] | [X:[[0, 4]], M:[[0, 8], [0, -20]], q:[[1, -9], [-2, 20]], 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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${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.5 + t^2.63 + t^2.76 + 2*t^3.37 + t^4.11 + 3*t^4.25 + t^4.38 + 2*t^4.99 + 3*t^5.12 + 3*t^5.26 + t^5.39 + t^5.52 + 2*t^5.87 + t^6.61 + 7*t^6.74 + 4*t^6.88 + 2*t^7.01 + t^7.14 + 6*t^7.49 + 8*t^7.62 + 6*t^7.75 + 5*t^7.89 + 3*t^8.02 + t^8.15 + t^8.23 + t^8.29 + 4*t^8.36 + 3*t^8.5 + t^8.63 - 2*t^8.76 + t^8.63/y^2 - t^3.88/y - t^4.75/y - t^6.37/y - t^6.5/y - t^6.64/y - (3*t^7.25)/y - t^7.38/y - t^7.51/y - t^8.12/y + t^8.26/y + t^8.39/y - t^3.88*y - t^4.75*y - t^6.37*y - t^6.5*y - t^6.64*y - 3*t^7.25*y - t^7.38*y - t^7.51*y - t^8.12*y + t^8.26*y + t^8.39*y + t^8.63*y^2 | g2^8*t^2.5 + t^2.63/g2^6 + t^2.76/g2^20 + (g1^3*t^3.37)/g2^9 + (g2^21*t^3.37)/g1^3 + g2^18*t^4.11 + (g1^3*t^4.25)/g2^11 + g2^4*t^4.25 + (g2^19*t^4.25)/g1^3 + t^4.38/g2^10 + 2*g2^16*t^4.99 + (g1^3*t^5.12)/g2^13 + g2^2*t^5.12 + (g2^17*t^5.12)/g1^3 + (3*t^5.26)/g2^12 + t^5.39/g2^26 + t^5.52/g2^40 + (g1^3*t^5.87)/g2 + (g2^29*t^5.87)/g1^3 - 2*t^6. + (g1^3*t^6.)/g2^15 + (g2^15*t^6.)/g1^3 + g2^26*t^6.61 + (g1^6*t^6.74)/g2^18 + (g1^3*t^6.74)/g2^3 + 3*g2^12*t^6.74 + (g2^27*t^6.74)/g1^3 + (g2^42*t^6.74)/g1^6 + (g1^3*t^6.88)/g2^17 + (2*t^6.88)/g2^2 + (g2^13*t^6.88)/g1^3 + (2*t^7.01)/g2^16 + t^7.14/g2^30 + (g1^6*t^7.49)/g2^6 + g1^3*g2^9*t^7.49 + 2*g2^24*t^7.49 + (g2^39*t^7.49)/g1^3 + (g2^54*t^7.49)/g1^6 + (g1^6*t^7.62)/g2^20 + (2*g1^3*t^7.62)/g2^5 + 2*g2^10*t^7.62 + (2*g2^25*t^7.62)/g1^3 + (g2^40*t^7.62)/g1^6 + (g1^3*t^7.75)/g2^19 + (4*t^7.75)/g2^4 + (g2^11*t^7.75)/g1^3 + (g1^3*t^7.89)/g2^33 + (3*t^7.89)/g2^18 + t^7.89/(g1^3*g2^3) + (3*t^8.02)/g2^32 + t^8.15/g2^46 + g2^36*t^8.23 + t^8.29/g2^60 + 2*g1^3*g2^7*t^8.36 + (2*g2^37*t^8.36)/g1^3 + (g1^6*t^8.5)/g2^22 + (g1^3*t^8.5)/g2^7 - g2^8*t^8.5 + (g2^23*t^8.5)/g1^3 + (g2^38*t^8.5)/g1^6 + (g1^3*t^8.63)/g2^21 - t^8.63/g2^6 + (g2^9*t^8.63)/g1^3 - (2*t^8.76)/g2^20 + t^8.63/(g2^6*y^2) - t^3.88/(g2^2*y) - t^4.75/(g2^4*y) - (g2^6*t^6.37)/y - t^6.5/(g2^8*y) - t^6.64/(g2^22*y) - (g1^3*t^7.25)/(g2^11*y) - (g2^4*t^7.25)/y - (g2^19*t^7.25)/(g1^3*y) - t^7.38/(g2^10*y) - t^7.51/(g2^24*y) - (g1^3*t^8.12)/(g2^13*y) + (g2^2*t^8.12)/y - (g2^17*t^8.12)/(g1^3*y) + t^8.26/(g2^12*y) + t^8.39/(g2^26*y) + (g1^3*t^8.87)/(g2*y) - (2*g2^14*t^8.87)/y + (g2^29*t^8.87)/(g1^3*y) - (t^3.88*y)/g2^2 - (t^4.75*y)/g2^4 - g2^6*t^6.37*y - (t^6.5*y)/g2^8 - (t^6.64*y)/g2^22 - (g1^3*t^7.25*y)/g2^11 - g2^4*t^7.25*y - (g2^19*t^7.25*y)/g1^3 - (t^7.38*y)/g2^10 - (t^7.51*y)/g2^24 - (g1^3*t^8.12*y)/g2^13 + g2^2*t^8.12*y - (g2^17*t^8.12*y)/g1^3 + (t^8.26*y)/g2^12 + (t^8.39*y)/g2^26 + (g1^3*t^8.87*y)/g2 - 2*g2^14*t^8.87*y + (g2^29*t^8.87*y)/g1^3 + (t^8.63*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 |