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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1807 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5921 | 0.7527 | 0.7867 | [M:[0.9726, 1.0823, 1.0274, 0.9177], q:[0.7431, 0.2843], qb:[0.4863, 0.4314], phi:[0.5137]] | [M:[[4], [-12], [-4], [12]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.147 + t^2.312 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.524 + 2*t^3.688 + t^3.853 + t^4.13 + 2*t^4.294 + 2*t^4.459 + t^4.623 + t^4.9 + t^5.065 + 2*t^5.229 + 2*t^5.394 + t^5.506 + t^5.671 + 3*t^5.835 + t^6.165 + 2*t^6.277 + 2*t^6.329 + 3*t^6.442 + t^6.494 + 2*t^6.606 + 3*t^6.771 + t^6.883 + 2*t^6.935 + 2*t^7.048 + 4*t^7.212 + 4*t^7.377 + 2*t^7.541 + 2*t^7.654 + t^7.706 + 4*t^7.818 + 3*t^7.983 + 2*t^8.26 + 3*t^8.424 + t^8.476 + 5*t^8.589 + t^8.753 + t^8.918 - t^4.541/y + (2*t^7.459)/y - t^7.623/y + t^7.9/y + t^8.065/y + (2*t^8.229)/y + (3*t^8.394)/y + t^8.558/y + t^8.671/y + (5*t^8.835)/y - t^4.541*y + 2*t^7.459*y - t^7.623*y + t^7.9*y + t^8.065*y + 2*t^8.229*y + 3*t^8.394*y + t^8.558*y + t^8.671*y + 5*t^8.835*y | g1^5*t^2.147 + t^2.312/g1^3 + g1^12*t^2.753 + (2*t^3.082)/g1^4 + t^3.247/g1^12 + g1^11*t^3.524 + 2*g1^3*t^3.688 + t^3.853/g1^5 + g1^18*t^4.13 + 2*g1^10*t^4.294 + 2*g1^2*t^4.459 + t^4.623/g1^6 + g1^17*t^4.9 + g1^9*t^5.065 + 2*g1*t^5.229 + (2*t^5.394)/g1^7 + g1^24*t^5.506 + g1^16*t^5.671 + 3*g1^8*t^5.835 + t^6.165/g1^8 + 2*g1^23*t^6.277 + (2*t^6.329)/g1^16 + 3*g1^15*t^6.442 + t^6.494/g1^24 + 2*g1^7*t^6.606 + (3*t^6.771)/g1 + g1^30*t^6.883 + (2*t^6.935)/g1^9 + 2*g1^22*t^7.048 + 4*g1^14*t^7.212 + 4*g1^6*t^7.377 + (2*t^7.541)/g1^2 + 2*g1^29*t^7.654 + t^7.706/g1^10 + 4*g1^21*t^7.818 + 3*g1^13*t^7.983 + 2*g1^36*t^8.26 + 3*g1^28*t^8.424 + t^8.476/g1^11 + 5*g1^20*t^8.589 + g1^12*t^8.753 + g1^4*t^8.918 - t^4.541/(g1^2*y) + (2*g1^2*t^7.459)/y - t^7.623/(g1^6*y) + (g1^17*t^7.9)/y + (g1^9*t^8.065)/y + (2*g1*t^8.229)/y + (3*t^8.394)/(g1^7*y) + t^8.558/(g1^15*y) + (g1^16*t^8.671)/y + (5*g1^8*t^8.835)/y - (t^4.541*y)/g1^2 + 2*g1^2*t^7.459*y - (t^7.623*y)/g1^6 + g1^17*t^7.9*y + g1^9*t^8.065*y + 2*g1*t^8.229*y + (3*t^8.394*y)/g1^7 + (t^8.558*y)/g1^15 + g1^16*t^8.671*y + 5*g1^8*t^8.835*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 |
---|---|---|---|---|---|---|---|---|
2821 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6079 | 0.7795 | 0.7799 | [M:[0.9824, 1.0528, 1.0176, 0.9472, 0.7984], q:[0.7456, 0.272], qb:[0.4912, 0.456], phi:[0.5088]] | t^2.184 + t^2.29 + t^2.395 + t^2.842 + 2*t^3.053 + t^3.158 + 2*t^3.71 + t^3.816 + t^4.262 + 2*t^4.368 + 2*t^4.474 + 2*t^4.579 + t^4.685 + t^4.79 + t^5.026 + t^5.131 + 3*t^5.237 + 2*t^5.342 + 2*t^5.448 + t^5.554 + t^5.683 + 2*t^5.894 - t^4.526/y - t^4.526*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 |
---|---|---|---|---|---|---|---|---|---|
343 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.5939 | 0.7557 | 0.7859 | [M:[0.9644, 1.1068, 1.0356, 0.8932], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] | 2*t^2.223 + t^2.68 + 2*t^3.107 + t^3.32 + 2*t^3.563 + 2*t^3.777 + 3*t^4.233 + 3*t^4.447 + 2*t^4.903 + 4*t^5.33 + t^5.359 + 5*t^5.786 - t^6. - t^4.553/y - t^4.553*y | detail |