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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6081 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6982 | 0.9018 | 0.7743 | [M:[1.0631, 0.8715, 1.1285, 0.8061, 1.1939, 0.7407, 0.7756, 0.8715, 0.7103], q:[0.5011, 0.4357], qb:[0.3704, 0.7582], phi:[0.4837]] | [M:[[-38], [14], [-14], [-10], [10], [-34], [40], [14], [16]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{9}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{9}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{9}$, ${ }M_{4}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{8}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{9}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}M_{9}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$ | ${}$ | -2 | t^2.131 + t^2.222 + t^2.327 + t^2.418 + 2*t^2.614 + t^2.902 + t^3.189 + t^3.582 + 2*t^4.065 + 2*t^4.262 + t^4.353 + t^4.444 + 2*t^4.458 + 2*t^4.549 + t^4.64 + t^4.654 + 3*t^4.745 + 3*t^4.837 + 2*t^4.941 + 3*t^5.033 + t^5.124 + 4*t^5.229 + 2*t^5.32 + t^5.412 + 3*t^5.516 + t^5.712 + 2*t^5.804 + t^5.909 - 2*t^6. + t^6.091 + t^6.196 + t^6.288 + t^6.379 + 3*t^6.392 + 3*t^6.484 + t^6.575 + 3*t^6.588 + t^6.666 + 6*t^6.68 + t^6.771 + 2*t^6.785 + t^6.863 + 6*t^6.876 + 4*t^6.967 + t^6.981 + 2*t^7.059 + 5*t^7.072 + 5*t^7.163 + 3*t^7.255 + 2*t^7.268 + t^7.346 + 6*t^7.36 + 5*t^7.451 + 2*t^7.542 + 3*t^7.556 + t^7.634 + 6*t^7.647 + 3*t^7.738 + 6*t^7.843 + 2*t^7.935 + 2*t^8.026 + t^8.039 + 3*t^8.131 - 2*t^8.222 + t^8.236 + t^8.313 - t^8.327 + 2*t^8.51 + 4*t^8.523 + t^8.601 - 4*t^8.614 + 4*t^8.706 + 5*t^8.719 + t^8.797 + 4*t^8.811 + t^8.888 + t^8.902 + 4*t^8.915 + 3*t^8.993 - t^4.451/y - t^6.582/y - t^6.673/y - t^6.778/y - t^7.065/y + t^7.262/y + t^7.458/y + (3*t^7.549)/y + (3*t^7.745)/y + (3*t^7.837)/y + (2*t^7.941)/y + (3*t^8.033)/y + (2*t^8.124)/y + (3*t^8.229)/y + (3*t^8.32)/y + t^8.412/y + (3*t^8.516)/y + t^8.608/y + (2*t^8.804)/y - t^8.895/y - t^4.451*y - t^6.582*y - t^6.673*y - t^6.778*y - t^7.065*y + t^7.262*y + t^7.458*y + 3*t^7.549*y + 3*t^7.745*y + 3*t^7.837*y + 2*t^7.941*y + 3*t^8.033*y + 2*t^8.124*y + 3*t^8.229*y + 3*t^8.32*y + t^8.412*y + 3*t^8.516*y + t^8.608*y + 2*t^8.804*y - t^8.895*y | g1^16*t^2.131 + t^2.222/g1^34 + g1^40*t^2.327 + t^2.418/g1^10 + 2*g1^14*t^2.614 + t^2.902/g1^12 + t^3.189/g1^38 + g1^10*t^3.582 + 2*g1^8*t^4.065 + 2*g1^32*t^4.262 + t^4.353/g1^18 + t^4.444/g1^68 + 2*g1^56*t^4.458 + 2*g1^6*t^4.549 + t^4.64/g1^44 + g1^80*t^4.654 + 3*g1^30*t^4.745 + (3*t^4.837)/g1^20 + 2*g1^54*t^4.941 + 3*g1^4*t^5.033 + t^5.124/g1^46 + 4*g1^28*t^5.229 + (2*t^5.32)/g1^22 + t^5.412/g1^72 + 3*g1^2*t^5.516 + g1^26*t^5.712 + (2*t^5.804)/g1^24 + g1^50*t^5.909 - 2*t^6. + t^6.091/g1^50 + g1^24*t^6.196 + t^6.288/g1^26 + t^6.379/g1^76 + 3*g1^48*t^6.392 + (3*t^6.484)/g1^2 + t^6.575/g1^52 + 3*g1^72*t^6.588 + t^6.666/g1^102 + 6*g1^22*t^6.68 + t^6.771/g1^28 + 2*g1^96*t^6.785 + t^6.863/g1^78 + 6*g1^46*t^6.876 + (4*t^6.967)/g1^4 + g1^120*t^6.981 + (2*t^7.059)/g1^54 + 5*g1^70*t^7.072 + 5*g1^20*t^7.163 + (3*t^7.255)/g1^30 + 2*g1^94*t^7.268 + t^7.346/g1^80 + 6*g1^44*t^7.36 + (5*t^7.451)/g1^6 + (2*t^7.542)/g1^56 + 3*g1^68*t^7.556 + t^7.634/g1^106 + 6*g1^18*t^7.647 + (3*t^7.738)/g1^32 + 6*g1^42*t^7.843 + (2*t^7.935)/g1^8 + (2*t^8.026)/g1^58 + g1^66*t^8.039 + 3*g1^16*t^8.131 - (2*t^8.222)/g1^34 + g1^90*t^8.236 + t^8.313/g1^84 - g1^40*t^8.327 + (2*t^8.51)/g1^60 + 4*g1^64*t^8.523 + t^8.601/g1^110 - 4*g1^14*t^8.614 + (4*t^8.706)/g1^36 + 5*g1^88*t^8.719 + t^8.797/g1^86 + 4*g1^38*t^8.811 + t^8.888/g1^136 + t^8.902/g1^12 + 4*g1^112*t^8.915 + (3*t^8.993)/g1^62 - t^4.451/(g1^6*y) - (g1^10*t^6.582)/y - t^6.673/(g1^40*y) - (g1^34*t^6.778)/y - (g1^8*t^7.065)/y + (g1^32*t^7.262)/y + (g1^56*t^7.458)/y + (3*g1^6*t^7.549)/y + (3*g1^30*t^7.745)/y + (3*t^7.837)/(g1^20*y) + (2*g1^54*t^7.941)/y + (3*g1^4*t^8.033)/y + (2*t^8.124)/(g1^46*y) + (3*g1^28*t^8.229)/y + (3*t^8.32)/(g1^22*y) + t^8.412/(g1^72*y) + (3*g1^2*t^8.516)/y + t^8.608/(g1^48*y) + (2*t^8.804)/(g1^24*y) - t^8.895/(g1^74*y) - (t^4.451*y)/g1^6 - g1^10*t^6.582*y - (t^6.673*y)/g1^40 - g1^34*t^6.778*y - g1^8*t^7.065*y + g1^32*t^7.262*y + g1^56*t^7.458*y + 3*g1^6*t^7.549*y + 3*g1^30*t^7.745*y + (3*t^7.837*y)/g1^20 + 2*g1^54*t^7.941*y + 3*g1^4*t^8.033*y + (2*t^8.124*y)/g1^46 + 3*g1^28*t^8.229*y + (3*t^8.32*y)/g1^22 + (t^8.412*y)/g1^72 + 3*g1^2*t^8.516*y + (t^8.608*y)/g1^48 + (2*t^8.804*y)/g1^24 - (t^8.895*y)/g1^74 |
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 |
---|---|---|---|---|---|---|---|---|---|
4567 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6779 | 0.8633 | 0.7853 | [M:[1.0591, 0.873, 1.127, 0.805, 1.195, 0.7371, 0.7799, 0.873], q:[0.5044, 0.4365], qb:[0.3685, 0.7585], phi:[0.483]] | t^2.211 + t^2.34 + t^2.415 + 2*t^2.619 + t^2.898 + t^3.177 + t^3.585 + t^3.864 + 2*t^4.068 + t^4.272 + t^4.422 + t^4.476 + t^4.551 + t^4.626 + t^4.68 + t^4.755 + 3*t^4.83 + 2*t^4.959 + 2*t^5.034 + t^5.109 + 4*t^5.238 + t^5.313 + t^5.388 + 3*t^5.517 + 2*t^5.796 + t^5.925 - 2*t^6. - t^4.449/y - t^4.449*y | detail |