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 |
---|---|---|---|---|---|---|---|---|---|
2530 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6944 | 0.852 | 0.8151 | [M:[1.0081, 0.9758, 1.0242, 0.9597, 1.0403, 0.9597, 0.9919], q:[0.504, 0.4879], qb:[0.4718, 0.5524], phi:[0.496]] | [M:[[2], [-6], [6], [-10], [10], [-10], [-2]], q:[[1], [-3]], qb:[[-7], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -3 | 2*t^2.879 + t^2.928 + 2*t^2.976 + t^3.072 + t^3.169 + t^4.319 + t^4.367 + 2*t^4.415 + t^4.464 + t^4.512 + t^4.56 + t^4.609 + t^4.657 + t^4.802 + 2*t^5.758 + t^5.807 + 4*t^5.855 + t^5.903 + 3*t^5.952 - 3*t^6. + t^6.048 + 2*t^6.145 - t^6.193 + t^6.338 + 2*t^7.198 + 2*t^7.246 + 5*t^7.295 + 3*t^7.343 + 5*t^7.391 + t^7.44 + 2*t^7.488 + t^7.536 + 2*t^7.585 + t^7.633 + t^7.681 + t^7.73 + 2*t^7.778 + t^7.875 + t^7.971 + 3*t^8.638 + 2*t^8.686 + 6*t^8.734 + 2*t^8.783 + 7*t^8.831 - 3*t^8.879 + t^8.928 - 6*t^8.976 - t^4.488/y - t^7.367/y - t^7.464/y + t^7.512/y + t^7.609/y + t^8.758/y + (2*t^8.807)/y + (4*t^8.855)/y + (2*t^8.903)/y + (3*t^8.952)/y - t^4.488*y - t^7.367*y - t^7.464*y + t^7.512*y + t^7.609*y + t^8.758*y + 2*t^8.807*y + 4*t^8.855*y + 2*t^8.903*y + 3*t^8.952*y | (2*t^2.879)/g1^10 + t^2.928/g1^6 + (2*t^2.976)/g1^2 + g1^6*t^3.072 + g1^14*t^3.169 + t^4.319/g1^15 + t^4.367/g1^11 + (2*t^4.415)/g1^7 + t^4.464/g1^3 + g1*t^4.512 + g1^5*t^4.56 + g1^9*t^4.609 + g1^13*t^4.657 + g1^25*t^4.802 + (2*t^5.758)/g1^20 + t^5.807/g1^16 + (4*t^5.855)/g1^12 + t^5.903/g1^8 + (3*t^5.952)/g1^4 - 3*t^6. + g1^4*t^6.048 + 2*g1^12*t^6.145 - g1^16*t^6.193 + g1^28*t^6.338 + (2*t^7.198)/g1^25 + (2*t^7.246)/g1^21 + (5*t^7.295)/g1^17 + (3*t^7.343)/g1^13 + (5*t^7.391)/g1^9 + t^7.44/g1^5 + (2*t^7.488)/g1 + g1^3*t^7.536 + 2*g1^7*t^7.585 + g1^11*t^7.633 + g1^15*t^7.681 + g1^19*t^7.73 + 2*g1^23*t^7.778 + g1^31*t^7.875 + g1^39*t^7.971 + (3*t^8.638)/g1^30 + (2*t^8.686)/g1^26 + (6*t^8.734)/g1^22 + (2*t^8.783)/g1^18 + (7*t^8.831)/g1^14 - (3*t^8.879)/g1^10 + t^8.928/g1^6 - (6*t^8.976)/g1^2 - t^4.488/(g1*y) - t^7.367/(g1^11*y) - t^7.464/(g1^3*y) + (g1*t^7.512)/y + (g1^9*t^7.609)/y + t^8.758/(g1^20*y) + (2*t^8.807)/(g1^16*y) + (4*t^8.855)/(g1^12*y) + (2*t^8.903)/(g1^8*y) + (3*t^8.952)/(g1^4*y) - (t^4.488*y)/g1 - (t^7.367*y)/g1^11 - (t^7.464*y)/g1^3 + g1*t^7.512*y + g1^9*t^7.609*y + (t^8.758*y)/g1^20 + (2*t^8.807*y)/g1^16 + (4*t^8.855*y)/g1^12 + (2*t^8.903*y)/g1^8 + (3*t^8.952*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
4587 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7018 | 0.8667 | 0.8097 | [M:[1.0146, 0.9561, 1.0439, 0.9269, 1.0731, 0.9269, 0.9854, 0.8976], q:[0.5073, 0.4781], qb:[0.4488, 0.5951], phi:[0.4927]] | t^2.693 + 2*t^2.781 + t^2.868 + 2*t^2.956 + t^3.132 + t^4.171 + t^4.259 + 2*t^4.346 + t^4.434 + t^4.522 + t^4.61 + t^4.697 + t^4.785 + t^5.048 + t^5.386 + 2*t^5.474 + 3*t^5.561 + 3*t^5.649 + 4*t^5.737 + 2*t^5.825 + 3*t^5.912 - 3*t^6. - t^4.478/y - t^4.478*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 |
---|---|---|---|---|---|---|---|---|---|
1447 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6937 | 0.8507 | 0.8155 | [M:[1.007, 0.9789, 1.0211, 0.9648, 1.0352, 0.9648], q:[0.5035, 0.4894], qb:[0.4754, 0.5458], phi:[0.4965]] | 2*t^2.894 + t^2.937 + t^2.979 + t^3.021 + t^3.063 + t^3.148 + t^4.342 + t^4.384 + 2*t^4.426 + t^4.468 + t^4.511 + t^4.553 + t^4.595 + t^4.637 + t^4.764 + 2*t^5.789 + t^5.831 + 2*t^5.873 + 2*t^5.915 + 2*t^5.958 - 2*t^6. - t^4.489/y - t^4.489*y | detail |