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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55588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ | 0.5974 | 0.7373 | 0.8102 | [X:[1.3618], M:[1.1206, 0.9598, 0.6382, 0.799, 1.0402, 1.0402], q:[0.2601, 0.6193], qb:[0.7802, 0.5817], phi:[0.4397]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4], [4]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -2 | t^2.397 + t^2.525 + t^2.638 + 2*t^3.121 + t^3.362 + t^3.844 + t^3.957 + t^4.085 + t^4.198 + t^4.794 + t^4.809 + t^4.922 + t^5.035 + t^5.05 + t^5.163 + t^5.276 + 2*t^5.518 + 2*t^5.646 + 2*t^5.759 - 2*t^6. - t^6.113 + 2*t^6.241 + t^6.369 + 3*t^6.482 + t^6.595 + t^6.611 + t^6.724 + t^7.191 + 2*t^7.206 + t^7.319 + t^7.334 + 2*t^7.447 + t^7.576 + t^7.673 + t^7.689 + 3*t^7.915 + 2*t^7.93 + 2*t^8.043 + 2*t^8.156 + 3*t^8.171 + t^8.284 - t^8.397 - 3*t^8.525 - t^8.638 + t^8.653 - t^8.751 + 2*t^8.766 + t^8.879 + 2*t^8.895 + t^8.992 - t^4.319/y - t^6.716/y + t^7.198/y - t^7.44/y + (2*t^7.922)/y + t^8.035/y + t^8.163/y + (2*t^8.518)/y + (2*t^8.646)/y + (3*t^8.759)/y + t^8.887/y - t^4.319*y - t^6.716*y + t^7.198*y - t^7.44*y + 2*t^7.922*y + t^8.035*y + t^8.163*y + 2*t^8.518*y + 2*t^8.646*y + 3*t^8.759*y + t^8.887*y | t^2.397/g1^20 + g1^34*t^2.525 + t^2.638/g1^12 + 2*g1^4*t^3.121 + g1^12*t^3.362 + g1^28*t^3.844 + t^3.957/g1^18 + g1^36*t^4.085 + t^4.198/g1^10 + t^4.794/g1^40 + g1^60*t^4.809 + g1^14*t^4.922 + t^5.035/g1^32 + g1^68*t^5.05 + g1^22*t^5.163 + t^5.276/g1^24 + (2*t^5.518)/g1^16 + 2*g1^38*t^5.646 + (2*t^5.759)/g1^8 - 2*t^6. - t^6.113/g1^46 + 2*g1^8*t^6.241 + g1^62*t^6.369 + 3*g1^16*t^6.482 + t^6.595/g1^30 + g1^70*t^6.611 + g1^24*t^6.724 + t^7.191/g1^60 + 2*g1^40*t^7.206 + t^7.319/g1^6 + g1^94*t^7.334 + 2*g1^48*t^7.447 + g1^102*t^7.576 + t^7.673/g1^44 + g1^56*t^7.689 + (3*t^7.915)/g1^36 + 2*g1^64*t^7.93 + 2*g1^18*t^8.043 + (2*t^8.156)/g1^28 + 3*g1^72*t^8.171 + g1^26*t^8.284 - t^8.397/g1^20 - 3*g1^34*t^8.525 - t^8.638/g1^12 + g1^88*t^8.653 - t^8.751/g1^58 + 2*g1^42*t^8.766 + t^8.879/g1^4 + 2*g1^96*t^8.895 + t^8.992/g1^50 - t^4.319/(g1^6*y) - t^6.716/(g1^26*y) + t^7.198/(g1^10*y) - t^7.44/(g1^2*y) + (2*g1^14*t^7.922)/y + t^8.035/(g1^32*y) + (g1^22*t^8.163)/y + (2*t^8.518)/(g1^16*y) + (2*g1^38*t^8.646)/y + (3*t^8.759)/(g1^8*y) + (g1^46*t^8.887)/y - (t^4.319*y)/g1^6 - (t^6.716*y)/g1^26 + (t^7.198*y)/g1^10 - (t^7.44*y)/g1^2 + 2*g1^14*t^7.922*y + (t^8.035*y)/g1^32 + g1^22*t^8.163*y + (2*t^8.518*y)/g1^16 + 2*g1^38*t^8.646*y + (3*t^8.759*y)/g1^8 + g1^46*t^8.887*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 |
---|---|---|---|---|---|---|---|---|
57349 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6181 | 0.7782 | 0.7943 | [X:[1.3595], M:[1.1198, 0.9601, 0.6405, 0.8003, 1.0399, 1.0399, 0.6797], q:[0.26, 0.6202], qb:[0.78, 0.5795], phi:[0.4401]] | t^2.039 + t^2.401 + t^2.518 + t^2.641 + 2*t^3.12 + t^3.359 + t^3.839 + 2*t^4.078 + t^4.2 + t^4.44 + t^4.558 + t^4.68 + t^4.797 + t^4.802 + t^4.919 + t^5.037 + t^5.041 + 3*t^5.159 + t^5.281 + t^5.399 + 2*t^5.521 + 2*t^5.638 + 2*t^5.76 + t^5.878 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
57348 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6176 | 0.7751 | 0.7968 | [X:[1.3735], M:[1.1245, 0.9585, 0.6265, 0.7925, 1.0415, 1.0415, 0.7095], q:[0.2604, 0.6151], qb:[0.7811, 0.5923], phi:[0.4378]] | t^2.129 + t^2.378 + t^2.558 + t^2.627 + 2*t^3.124 + t^3.373 + t^3.94 + t^4.12 + t^4.189 + t^4.257 + t^4.506 + t^4.687 + 2*t^4.755 + t^4.867 + t^4.936 + t^5.004 + t^5.116 + t^5.185 + 3*t^5.253 + 3*t^5.502 + 2*t^5.683 + 2*t^5.751 - 2*t^6. - t^4.313/y - t^4.313*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 |
---|---|---|---|---|---|---|---|---|---|
47113 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[1.1229, 0.959, 0.6314, 0.7952, 1.041], q:[0.2602, 0.6169], qb:[0.7807, 0.5879], phi:[0.4386]] | t^2.386 + t^2.544 + t^2.631 + t^2.877 + t^3.123 + t^3.369 + t^3.86 + t^3.947 + t^4.106 + t^4.193 + t^4.771 + t^4.843 + t^4.93 + t^5.017 + t^5.089 + t^5.176 + 2*t^5.263 + t^5.422 + 2*t^5.509 + t^5.667 + 2*t^5.754 - t^6. - t^4.316/y - t^4.316*y | detail |