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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6447 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7325 | 0.9218 | 0.7946 | [M:[0.88, 1.06, 1.0, 0.94, 1.06, 0.94, 0.94, 0.88, 0.6949], q:[0.59, 0.53], qb:[0.41, 0.53], phi:[0.485]] | [M:[[-8], [4], [0], [-4], [4], [-4], [-4], [-8], [13]], q:[[6], [2]], qb:[[-6], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{9}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{9}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{9}$, ${ }M_{6}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{9}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -5 | t^2.085 + 2*t^2.64 + 3*t^2.82 + t^2.91 + t^3. + t^4.17 + 2*t^4.275 + t^4.455 + 3*t^4.635 + 2*t^4.725 + 2*t^4.815 + 3*t^4.905 + 2*t^4.995 + t^5.085 + 3*t^5.28 + 5*t^5.46 + 2*t^5.55 + 6*t^5.64 + 3*t^5.73 + 2*t^5.82 + t^5.91 - 5*t^6. - 3*t^6.18 + t^6.254 + 3*t^6.72 + 2*t^6.81 + 2*t^6.9 + 3*t^6.915 + 3*t^6.99 - t^7.005 + 2*t^7.08 + 5*t^7.095 + t^7.17 + 2*t^7.185 + 7*t^7.275 + 2*t^7.365 + 7*t^7.455 + 7*t^7.545 + 6*t^7.635 + 5*t^7.725 + 4*t^7.815 + t^7.905 + 4*t^7.92 - t^7.995 - 6*t^8.085 + 7*t^8.1 - t^8.175 + 3*t^8.19 - 3*t^8.265 + 8*t^8.28 + t^8.339 + 5*t^8.37 + 8*t^8.46 + 6*t^8.55 - 6*t^8.64 + 2*t^8.73 + 3*t^8.804 - 17*t^8.82 + 2*t^8.894 - t^8.91 + 2*t^8.984 - t^4.455/y - t^6.54/y - (2*t^7.095)/y - t^7.275/y - t^7.365/y + t^7.545/y + t^7.635/y + (2*t^7.725)/y + (2*t^7.815)/y + (3*t^7.905)/y + t^7.995/y + t^8.085/y + t^8.28/y + t^8.37/y + (6*t^8.46)/y + (2*t^8.55)/y - t^8.625/y + (5*t^8.64)/y + (3*t^8.73)/y + (3*t^8.82)/y + t^8.91/y - t^4.455*y - t^6.54*y - 2*t^7.095*y - t^7.275*y - t^7.365*y + t^7.545*y + t^7.635*y + 2*t^7.725*y + 2*t^7.815*y + 3*t^7.905*y + t^7.995*y + t^8.085*y + t^8.28*y + t^8.37*y + 6*t^8.46*y + 2*t^8.55*y - t^8.625*y + 5*t^8.64*y + 3*t^8.73*y + 3*t^8.82*y + t^8.91*y | g1^13*t^2.085 + (2*t^2.64)/g1^8 + (3*t^2.82)/g1^4 + t^2.91/g1^2 + t^3. + g1^26*t^4.17 + (2*t^4.275)/g1^5 + t^4.455/g1 + 3*g1^3*t^4.635 + 2*g1^5*t^4.725 + 2*g1^7*t^4.815 + 3*g1^9*t^4.905 + 2*g1^11*t^4.995 + g1^13*t^5.085 + (3*t^5.28)/g1^16 + (5*t^5.46)/g1^12 + (2*t^5.55)/g1^10 + (6*t^5.64)/g1^8 + (3*t^5.73)/g1^6 + (2*t^5.82)/g1^4 + t^5.91/g1^2 - 5*t^6. - 3*g1^4*t^6.18 + g1^39*t^6.254 + 3*g1^16*t^6.72 + 2*g1^18*t^6.81 + 2*g1^20*t^6.9 + (3*t^6.915)/g1^13 + 3*g1^22*t^6.99 - t^7.005/g1^11 + 2*g1^24*t^7.08 + (5*t^7.095)/g1^9 + g1^26*t^7.17 + (2*t^7.185)/g1^7 + (7*t^7.275)/g1^5 + (2*t^7.365)/g1^3 + (7*t^7.455)/g1 + 7*g1*t^7.545 + 6*g1^3*t^7.635 + 5*g1^5*t^7.725 + 4*g1^7*t^7.815 + g1^9*t^7.905 + (4*t^7.92)/g1^24 - g1^11*t^7.995 - 6*g1^13*t^8.085 + (7*t^8.1)/g1^20 - g1^15*t^8.175 + (3*t^8.19)/g1^18 - 3*g1^17*t^8.265 + (8*t^8.28)/g1^16 + g1^52*t^8.339 + (5*t^8.37)/g1^14 + (8*t^8.46)/g1^12 + (6*t^8.55)/g1^10 - (6*t^8.64)/g1^8 + (2*t^8.73)/g1^6 + 3*g1^29*t^8.804 - (17*t^8.82)/g1^4 + 2*g1^31*t^8.894 - t^8.91/g1^2 + 2*g1^33*t^8.984 - t^4.455/(g1*y) - (g1^12*t^6.54)/y - (2*t^7.095)/(g1^9*y) - t^7.275/(g1^5*y) - t^7.365/(g1^3*y) + (g1*t^7.545)/y + (g1^3*t^7.635)/y + (2*g1^5*t^7.725)/y + (2*g1^7*t^7.815)/y + (3*g1^9*t^7.905)/y + (g1^11*t^7.995)/y + (g1^13*t^8.085)/y + t^8.28/(g1^16*y) + t^8.37/(g1^14*y) + (6*t^8.46)/(g1^12*y) + (2*t^8.55)/(g1^10*y) - (g1^25*t^8.625)/y + (5*t^8.64)/(g1^8*y) + (3*t^8.73)/(g1^6*y) + (3*t^8.82)/(g1^4*y) + t^8.91/(g1^2*y) - (t^4.455*y)/g1 - g1^12*t^6.54*y - (2*t^7.095*y)/g1^9 - (t^7.275*y)/g1^5 - (t^7.365*y)/g1^3 + g1*t^7.545*y + g1^3*t^7.635*y + 2*g1^5*t^7.725*y + 2*g1^7*t^7.815*y + 3*g1^9*t^7.905*y + g1^11*t^7.995*y + g1^13*t^8.085*y + (t^8.28*y)/g1^16 + (t^8.37*y)/g1^14 + (6*t^8.46*y)/g1^12 + (2*t^8.55*y)/g1^10 - g1^25*t^8.625*y + (5*t^8.64*y)/g1^8 + (3*t^8.73*y)/g1^6 + (3*t^8.82*y)/g1^4 + (t^8.91*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
4836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.712 | 0.8834 | 0.8059 | [M:[0.8705, 1.0648, 1.0, 0.9352, 1.0648, 0.9352, 0.9352, 0.8705], q:[0.5971, 0.5324], qb:[0.4029, 0.5324], phi:[0.4838]] | 2*t^2.611 + 3*t^2.806 + t^2.903 + t^3. + t^3.869 + 2*t^4.257 + t^4.451 + 3*t^4.646 + 2*t^4.84 + t^5.034 + 3*t^5.223 + 5*t^5.417 + 2*t^5.514 + 6*t^5.611 + 3*t^5.709 + 2*t^5.806 + t^5.903 - 5*t^6. - t^4.451/y - t^4.451*y | detail |