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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58672 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6455 | 0.8571 | 0.7531 | [M:[0.9544, 0.8631, 0.9544, 0.7966, 0.7054, 1.1369, 0.6806, 1.1369], q:[0.7386, 0.307], qb:[0.3983, 0.4648], phi:[0.5228]] | [M:[[4], [12], [4], [-26], [-18], [-12], [28], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{7}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -3 | t^2.042 + 2*t^2.116 + t^2.315 + t^2.39 + 2*t^2.863 + 3*t^3.411 + t^3.685 + t^4.083 + 3*t^4.158 + 3*t^4.232 + 2*t^4.357 + 3*t^4.432 + 2*t^4.506 + t^4.631 + t^4.705 + t^4.78 + 2*t^4.905 + 4*t^4.979 + 2*t^5.179 + 2*t^5.253 + 3*t^5.452 + 5*t^5.527 + 5*t^5.726 + 4*t^5.801 - 3*t^6. + t^6.074 + t^6.125 + 2*t^6.199 + 7*t^6.274 + 4*t^6.348 + 2*t^6.399 + 4*t^6.473 + 6*t^6.548 + 3*t^6.622 + 2*t^6.673 + 2*t^6.747 + 6*t^6.821 + 2*t^6.896 + 3*t^6.946 + 4*t^7.021 + 8*t^7.095 + t^7.17 + 3*t^7.22 + 2*t^7.295 + 3*t^7.369 + 4*t^7.494 + 5*t^7.568 + 9*t^7.643 + 5*t^7.768 + 9*t^7.842 + 6*t^7.917 - t^8.042 - 2*t^8.116 + t^8.167 + 4*t^8.19 + 2*t^8.241 + 2*t^8.315 + 6*t^8.39 + 2*t^8.441 + 6*t^8.464 + 4*t^8.515 + 8*t^8.589 + 9*t^8.664 + 3*t^8.714 + 4*t^8.738 + 3*t^8.789 - t^8.863 + 10*t^8.937 + 4*t^8.988 - t^4.568/y - t^6.61/y - t^6.685/y - t^6.958/y + (3*t^7.158)/y + t^7.232/y + t^7.357/y + (2*t^7.432)/y + (2*t^7.506)/y + (2*t^7.705)/y + (2*t^7.905)/y + (3*t^7.979)/y + (3*t^8.179)/y + (2*t^8.253)/y + (4*t^8.452)/y + (7*t^8.527)/y - t^8.652/y + (4*t^8.726)/y + (4*t^8.801)/y - t^4.568*y - t^6.61*y - t^6.685*y - t^6.958*y + 3*t^7.158*y + t^7.232*y + t^7.357*y + 2*t^7.432*y + 2*t^7.506*y + 2*t^7.705*y + 2*t^7.905*y + 3*t^7.979*y + 3*t^8.179*y + 2*t^8.253*y + 4*t^8.452*y + 7*t^8.527*y - t^8.652*y + 4*t^8.726*y + 4*t^8.801*y | g1^28*t^2.042 + (2*t^2.116)/g1^18 + g1^20*t^2.315 + t^2.39/g1^26 + 2*g1^4*t^2.863 + (3*t^3.411)/g1^12 + t^3.685/g1^20 + g1^56*t^4.083 + 3*g1^10*t^4.158 + (3*t^4.232)/g1^36 + 2*g1^48*t^4.357 + 3*g1^2*t^4.432 + (2*t^4.506)/g1^44 + g1^40*t^4.631 + t^4.705/g1^6 + t^4.78/g1^52 + 2*g1^32*t^4.905 + (4*t^4.979)/g1^14 + 2*g1^24*t^5.179 + (2*t^5.253)/g1^22 + 3*g1^16*t^5.452 + (5*t^5.527)/g1^30 + 5*g1^8*t^5.726 + (4*t^5.801)/g1^38 - 3*t^6. + t^6.074/g1^46 + g1^84*t^6.125 + 2*g1^38*t^6.199 + (7*t^6.274)/g1^8 + (4*t^6.348)/g1^54 + 2*g1^76*t^6.399 + 4*g1^30*t^6.473 + (6*t^6.548)/g1^16 + (3*t^6.622)/g1^62 + 2*g1^68*t^6.673 + 2*g1^22*t^6.747 + (6*t^6.821)/g1^24 + (2*t^6.896)/g1^70 + 3*g1^60*t^6.946 + 4*g1^14*t^7.021 + (8*t^7.095)/g1^32 + t^7.17/g1^78 + 3*g1^52*t^7.22 + 2*g1^6*t^7.295 + (3*t^7.369)/g1^40 + 4*g1^44*t^7.494 + (5*t^7.568)/g1^2 + (9*t^7.643)/g1^48 + 5*g1^36*t^7.768 + (9*t^7.842)/g1^10 + (6*t^7.917)/g1^56 - g1^28*t^8.042 - (2*t^8.116)/g1^18 + g1^112*t^8.167 + (4*t^8.19)/g1^64 + 2*g1^66*t^8.241 + 2*g1^20*t^8.315 + (6*t^8.39)/g1^26 + 2*g1^104*t^8.441 + (6*t^8.464)/g1^72 + 4*g1^58*t^8.515 + 8*g1^12*t^8.589 + (9*t^8.664)/g1^34 + 3*g1^96*t^8.714 + (4*t^8.738)/g1^80 + 3*g1^50*t^8.789 - g1^4*t^8.863 + (10*t^8.937)/g1^42 + 4*g1^88*t^8.988 - t^4.568/(g1^2*y) - (g1^26*t^6.61)/y - t^6.685/(g1^20*y) - t^6.958/(g1^28*y) + (3*g1^10*t^7.158)/y + t^7.232/(g1^36*y) + (g1^48*t^7.357)/y + (2*g1^2*t^7.432)/y + (2*t^7.506)/(g1^44*y) + (2*t^7.705)/(g1^6*y) + (2*g1^32*t^7.905)/y + (3*t^7.979)/(g1^14*y) + (3*g1^24*t^8.179)/y + (2*t^8.253)/(g1^22*y) + (4*g1^16*t^8.452)/y + (7*t^8.527)/(g1^30*y) - (g1^54*t^8.652)/y + (4*g1^8*t^8.726)/y + (4*t^8.801)/(g1^38*y) - (t^4.568*y)/g1^2 - g1^26*t^6.61*y - (t^6.685*y)/g1^20 - (t^6.958*y)/g1^28 + 3*g1^10*t^7.158*y + (t^7.232*y)/g1^36 + g1^48*t^7.357*y + 2*g1^2*t^7.432*y + (2*t^7.506*y)/g1^44 + (2*t^7.705*y)/g1^6 + 2*g1^32*t^7.905*y + (3*t^7.979*y)/g1^14 + 3*g1^24*t^8.179*y + (2*t^8.253*y)/g1^22 + 4*g1^16*t^8.452*y + (7*t^8.527*y)/g1^30 - g1^54*t^8.652*y + 4*g1^8*t^8.726*y + (4*t^8.801*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|---|
56733 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6578 | 0.878 | 0.7492 | [M:[0.9528, 0.8584, 0.9528, 0.8069, 0.7125, 1.1416, 0.6695], q:[0.7382, 0.309], qb:[0.4034, 0.4549], phi:[0.5236]] | t^2.009 + 2*t^2.137 + t^2.292 + t^2.421 + t^2.575 + 2*t^2.858 + 2*t^3.425 + t^3.708 + t^4.017 + 3*t^4.146 + 3*t^4.275 + 2*t^4.3 + 3*t^4.429 + 2*t^4.558 + 2*t^4.584 + 3*t^4.712 + t^4.841 + 3*t^4.867 + 5*t^4.996 + 3*t^5.15 + 2*t^5.279 + 4*t^5.433 + 3*t^5.562 + 4*t^5.717 + 3*t^5.846 - t^6. - t^4.571/y - t^4.571*y | detail |