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 |
---|---|---|---|---|---|---|---|---|---|
2236 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6312 | 0.7667 | 0.8233 | [M:[1.1127, 0.7236, 0.8873, 0.8873, 0.8328, 1.2218, 1.1127], q:[0.8055, 0.5255], qb:[0.3618, 0.7509], phi:[0.3891]] | [M:[[16], [14], [-16], [-16], [-6], [-4], [16]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$ | ${}M_{3}M_{7}$ | -1 | t^2.171 + t^2.498 + t^2.662 + 2*t^3.338 + t^3.666 + t^3.829 + t^3.993 + t^4.321 + t^4.341 + t^4.505 + 2*t^4.669 + 2*t^4.997 + t^5.16 + t^5.509 + t^5.672 + 2*t^5.836 - t^6. + t^6.164 + t^6.328 + t^6.491 + t^6.512 + t^6.655 + 2*t^6.676 + t^6.819 + t^6.84 + t^6.983 + t^7.003 + 2*t^7.167 + t^7.331 + 2*t^7.495 + 3*t^7.659 + t^7.679 + 2*t^7.843 + t^7.986 + 2*t^8.007 + t^8.15 - 2*t^8.171 + t^8.314 + 3*t^8.334 - 2*t^8.498 + t^8.641 - t^8.662 + t^8.683 + t^8.826 + t^8.847 + t^8.99 - t^4.167/y - t^6.338/y - t^6.666/y + (2*t^7.669)/y + t^7.833/y + t^7.997/y + t^8.16/y + t^8.509/y + (2*t^8.836)/y - t^4.167*y - t^6.338*y - t^6.666*y + 2*t^7.669*y + t^7.833*y + t^7.997*y + t^8.16*y + t^8.509*y + 2*t^8.836*y | g1^14*t^2.171 + t^2.498/g1^6 + t^2.662/g1^16 + 2*g1^16*t^3.338 + t^3.666/g1^4 + t^3.829/g1^14 + t^3.993/g1^24 + t^4.321/g1^44 + g1^28*t^4.341 + g1^18*t^4.505 + 2*g1^8*t^4.669 + (2*t^4.997)/g1^12 + t^5.16/g1^22 + g1^30*t^5.509 + g1^20*t^5.672 + 2*g1^10*t^5.836 - t^6. + t^6.164/g1^10 + t^6.328/g1^20 + t^6.491/g1^30 + g1^42*t^6.512 + t^6.655/g1^40 + 2*g1^32*t^6.676 + t^6.819/g1^50 + g1^22*t^6.84 + t^6.983/g1^60 + g1^12*t^7.003 + 2*g1^2*t^7.167 + t^7.331/g1^8 + (2*t^7.495)/g1^18 + (3*t^7.659)/g1^28 + g1^44*t^7.679 + 2*g1^34*t^7.843 + t^7.986/g1^48 + 2*g1^24*t^8.007 + t^8.15/g1^58 - 2*g1^14*t^8.171 + t^8.314/g1^68 + 3*g1^4*t^8.334 - (2*t^8.498)/g1^6 + t^8.641/g1^88 - t^8.662/g1^16 + g1^56*t^8.683 + t^8.826/g1^26 + g1^46*t^8.847 + t^8.99/g1^36 - (g1^2*t^4.167)/y - (g1^16*t^6.338)/y - t^6.666/(g1^4*y) + (2*g1^8*t^7.669)/y + t^7.833/(g1^2*y) + t^7.997/(g1^12*y) + t^8.16/(g1^22*y) + (g1^30*t^8.509)/y + (2*g1^10*t^8.836)/y - g1^2*t^4.167*y - g1^16*t^6.338*y - (t^6.666*y)/g1^4 + 2*g1^8*t^7.669*y + (t^7.833*y)/g1^2 + (t^7.997*y)/g1^12 + (t^8.16*y)/g1^22 + g1^30*t^8.509*y + 2*g1^10*t^8.836*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 |
---|---|---|---|---|---|---|---|---|
4234 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6521 | 0.8082 | 0.8068 | [M:[1.1123, 0.7233, 0.8877, 0.8877, 0.8329, 1.2219, 1.1123, 0.6685], q:[0.8055, 0.526], qb:[0.3616, 0.7507], phi:[0.389]] | t^2.005 + t^2.17 + t^2.499 + t^2.663 + 2*t^3.337 + t^3.666 + t^3.83 + t^4.011 + t^4.175 + t^4.323 + t^4.34 + 2*t^4.504 + 3*t^4.668 + 2*t^4.997 + t^5.162 + 2*t^5.342 + t^5.507 + 2*t^5.671 + 3*t^5.836 - t^6. - t^4.167/y - t^4.167*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 |
---|---|---|---|---|---|---|---|---|---|
1189 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6421 | 0.7861 | 0.8168 | [M:[1.1304, 0.7391, 0.8696, 0.8696, 0.8261, 1.2174], q:[0.8044, 0.5001], qb:[0.3695, 0.7608], phi:[0.3913]] | t^2.217 + t^2.478 + 2*t^2.609 + t^3.391 + t^3.652 + t^3.783 + t^3.913 + t^4.174 + t^4.434 + t^4.565 + 2*t^4.696 + t^4.826 + 2*t^4.957 + 2*t^5.087 + 2*t^5.218 + t^5.739 + t^5.869 - t^6. - t^4.174/y - t^4.174*y | detail |