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 |
---|---|---|---|---|---|---|---|---|---|
47067 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ | 0.706 | 0.8681 | 0.8132 | [M:[0.8498, 1.0, 1.0751, 0.9249, 0.9624], q:[0.5563, 0.5939], qb:[0.4437, 0.4812], phi:[0.4812]] | [M:[[8], [0], [-4], [4], [2]], q:[[-3], [-5]], qb:[[3], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | ${}M_{5}q_{2}\tilde{q}_{1}$ | 0 | t^2.549 + t^2.775 + 2*t^2.887 + t^3. + t^3.113 + t^3.225 + t^4.106 + t^4.218 + t^4.331 + t^4.444 + 2*t^4.556 + t^4.669 + t^4.782 + t^4.894 + t^5.007 + t^5.099 + t^5.324 + 2*t^5.437 + t^5.549 + t^5.662 + 4*t^5.775 + t^5.887 + t^6.113 - t^6.338 + t^6.655 + t^6.768 + 2*t^6.88 + 3*t^6.993 + 4*t^7.106 + 3*t^7.218 + 3*t^7.331 + 4*t^7.444 + 3*t^7.556 + t^7.648 + t^7.669 + 2*t^7.782 + t^7.873 + 2*t^7.894 + 2*t^7.986 + t^8.099 + 2*t^8.211 + t^8.232 + 5*t^8.324 + t^8.437 + t^8.549 + 6*t^8.662 - t^8.775 - 2*t^8.887 - t^4.444/y - t^6.993/y - (2*t^7.331)/y + (2*t^7.556)/y + t^7.894/y + t^8.324/y + (2*t^8.437)/y + t^8.549/y + (3*t^8.662)/y + (3*t^8.775)/y + (3*t^8.887)/y - t^4.444*y - t^6.993*y - 2*t^7.331*y + 2*t^7.556*y + t^7.894*y + t^8.324*y + 2*t^8.437*y + t^8.549*y + 3*t^8.662*y + 3*t^8.775*y + 3*t^8.887*y | g1^8*t^2.549 + g1^4*t^2.775 + 2*g1^2*t^2.887 + t^3. + t^3.113/g1^2 + t^3.225/g1^4 + g1^7*t^4.106 + g1^5*t^4.218 + g1^3*t^4.331 + g1*t^4.444 + (2*t^4.556)/g1 + t^4.669/g1^3 + t^4.782/g1^5 + t^4.894/g1^7 + t^5.007/g1^9 + g1^16*t^5.099 + g1^12*t^5.324 + 2*g1^10*t^5.437 + g1^8*t^5.549 + g1^6*t^5.662 + 4*g1^4*t^5.775 + g1^2*t^5.887 + t^6.113/g1^2 - t^6.338/g1^6 + g1^15*t^6.655 + g1^13*t^6.768 + 2*g1^11*t^6.88 + 3*g1^9*t^6.993 + 4*g1^7*t^7.106 + 3*g1^5*t^7.218 + 3*g1^3*t^7.331 + 4*g1*t^7.444 + (3*t^7.556)/g1 + g1^24*t^7.648 + t^7.669/g1^3 + (2*t^7.782)/g1^5 + g1^20*t^7.873 + (2*t^7.894)/g1^7 + 2*g1^18*t^7.986 + g1^16*t^8.099 + 2*g1^14*t^8.211 + t^8.232/g1^13 + 5*g1^12*t^8.324 + g1^10*t^8.437 + g1^8*t^8.549 + 6*g1^6*t^8.662 - g1^4*t^8.775 - 2*g1^2*t^8.887 - (g1*t^4.444)/y - (g1^9*t^6.993)/y - (2*g1^3*t^7.331)/y + (2*t^7.556)/(g1*y) + t^7.894/(g1^7*y) + (g1^12*t^8.324)/y + (2*g1^10*t^8.437)/y + (g1^8*t^8.549)/y + (3*g1^6*t^8.662)/y + (3*g1^4*t^8.775)/y + (3*g1^2*t^8.887)/y - g1*t^4.444*y - g1^9*t^6.993*y - 2*g1^3*t^7.331*y + (2*t^7.556*y)/g1 + (t^7.894*y)/g1^7 + g1^12*t^8.324*y + 2*g1^10*t^8.437*y + g1^8*t^8.549*y + 3*g1^6*t^8.662*y + 3*g1^4*t^8.775*y + 3*g1^2*t^8.887*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 |
---|---|---|---|---|---|---|---|---|
50805 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.7136 | 0.8827 | 0.8085 | [M:[0.8177, 1.0, 1.0912, 0.9088, 0.9544, 0.9088], q:[0.5684, 0.614], qb:[0.4316, 0.4772], phi:[0.4772]] | t^2.453 + 2*t^2.727 + 2*t^2.863 + t^3. + t^3.137 + t^4.021 + t^4.158 + t^4.295 + t^4.432 + 2*t^4.568 + t^4.705 + t^4.842 + t^4.906 + t^4.979 + t^5.115 + 2*t^5.18 + 2*t^5.316 + 3*t^5.453 + 3*t^5.59 + 4*t^5.727 + 2*t^5.863 - t^6. - t^4.432/y - t^4.432*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46521 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7369 | 0.9109 | 0.809 | [M:[0.7723, 0.7723, 1.0, 1.0, 0.8862], q:[0.6707, 0.5569], qb:[0.5569, 0.4431], phi:[0.4431]] | 2*t^2.317 + 2*t^2.659 + 2*t^3. + t^3.341 + t^3.988 + 2*t^4.329 + 3*t^4.634 + 4*t^4.671 + 4*t^4.976 + 2*t^5.012 + 6*t^5.317 + t^5.354 + 2*t^5.659 - t^6. - t^4.329/y - t^4.329*y | detail |