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 |
---|---|---|---|---|---|---|---|---|---|
50851 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6305 | 0.7796 | 0.8088 | [M:[1.1928, 0.7711, 0.8072, 0.8192, 1.2048, 0.8072], q:[0.4096, 0.3976], qb:[0.8192, 0.7832], phi:[0.3976]] | [M:[[3], [12], [-3], [-8], [-2], [-3]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.313 + 2*t^2.422 + t^2.458 + t^3.578 + 2*t^3.614 + 2*t^3.651 + t^4.627 + 2*t^4.735 + t^4.771 + t^4.807 + 3*t^4.843 + 2*t^4.879 + t^4.915 + t^5.892 + t^5.928 - t^6. + 3*t^6.036 + 5*t^6.072 + 2*t^6.108 + t^6.94 + 2*t^7.048 + t^7.085 + t^7.157 + 3*t^7.229 + 6*t^7.265 + 5*t^7.301 + 2*t^7.337 + t^7.373 + t^8.205 + t^8.241 - t^8.313 - 3*t^8.422 + t^8.458 + 6*t^8.494 + 5*t^8.53 + 2*t^8.566 - t^4.193/y - t^6.506/y - t^6.614/y - t^6.651/y + (3*t^7.735)/y + (2*t^7.771)/y + t^7.843/y + (3*t^7.879)/y - t^8.82/y + t^8.892/y + t^8.928/y + t^8.964/y - t^4.193*y - t^6.506*y - t^6.614*y - t^6.651*y + 3*t^7.735*y + 2*t^7.771*y + t^7.843*y + 3*t^7.879*y - t^8.82*y + t^8.892*y + t^8.928*y + t^8.964*y | g1^12*t^2.313 + (2*t^2.422)/g1^3 + t^2.458/g1^8 + g1^3*t^3.578 + (2*t^3.614)/g1^2 + (2*t^3.651)/g1^7 + g1^24*t^4.627 + 2*g1^9*t^4.735 + g1^4*t^4.771 + t^4.807/g1 + (3*t^4.843)/g1^6 + (2*t^4.879)/g1^11 + t^4.915/g1^16 + g1^15*t^5.892 + g1^10*t^5.928 - t^6. + (3*t^6.036)/g1^5 + (5*t^6.072)/g1^10 + (2*t^6.108)/g1^15 + g1^36*t^6.94 + 2*g1^21*t^7.048 + g1^16*t^7.085 + g1^6*t^7.157 + (3*t^7.229)/g1^4 + (6*t^7.265)/g1^9 + (5*t^7.301)/g1^14 + (2*t^7.337)/g1^19 + t^7.373/g1^24 + g1^27*t^8.205 + g1^22*t^8.241 - g1^12*t^8.313 - (3*t^8.422)/g1^3 + t^8.458/g1^8 + (6*t^8.494)/g1^13 + (5*t^8.53)/g1^18 + (2*t^8.566)/g1^23 - (g1*t^4.193)/y - (g1^13*t^6.506)/y - t^6.614/(g1^2*y) - t^6.651/(g1^7*y) + (3*g1^9*t^7.735)/y + (2*g1^4*t^7.771)/y + t^7.843/(g1^6*y) + (3*t^7.879)/(g1^11*y) - (g1^25*t^8.82)/y + (g1^15*t^8.892)/y + (g1^10*t^8.928)/y + (g1^5*t^8.964)/y - g1*t^4.193*y - g1^13*t^6.506*y - (t^6.614*y)/g1^2 - (t^6.651*y)/g1^7 + 3*g1^9*t^7.735*y + 2*g1^4*t^7.771*y + (t^7.843*y)/g1^6 + (3*t^7.879*y)/g1^11 - g1^25*t^8.82*y + g1^15*t^8.892*y + g1^10*t^8.928*y + g1^5*t^8.964*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 |
---|---|---|---|---|---|---|---|---|
56165 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.5768 | 0.7122 | 0.8099 | [X:[1.3333], M:[1.25, 1.0, 0.75, 0.6667, 1.1667, 0.75], q:[0.3333, 0.4167], qb:[0.6667, 0.9167], phi:[0.4167]] | 2*t^2.25 + t^3. + 2*t^3.25 + 2*t^3.5 + t^3.75 + t^4. + 3*t^4.5 + t^4.75 + 2*t^5.25 + 3*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y | detail | {a: 443/768, c: 547/768, X1: 4/3, M1: 5/4, M2: 1, M3: 3/4, M4: 2/3, M5: 7/6, M6: 3/4, q1: 1/3, q2: 5/12, qb1: 2/3, qb2: 11/12, phi1: 5/12} |
56173 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6146 | 0.7514 | 0.8179 | [M:[1.1898, 0.7591, 0.8102, 0.8273, 1.2068, 0.8102, 1.1898], q:[0.4136, 0.3966], qb:[0.8273, 0.7761], phi:[0.3966]] | t^2.277 + t^2.431 + t^2.482 + 2*t^3.569 + 2*t^3.62 + 2*t^3.672 + t^4.554 + t^4.708 + t^4.759 + t^4.81 + t^4.861 + t^4.913 + t^4.964 + 2*t^5.847 + t^5.898 - t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
47025 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6388 | 0.7919 | 0.8066 | [M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | t^2.088 + t^2.235 + t^2.353 + t^2.559 + t^3.441 + t^3.5 + 2*t^3.706 + t^3.971 + t^4.176 + t^4.323 + t^4.441 + t^4.469 + t^4.588 + t^4.647 + t^4.707 + t^4.794 + t^4.853 + t^4.912 + t^5.118 + t^5.529 + t^5.588 + t^5.676 + 2*t^5.794 + t^5.854 + t^5.941 - 2*t^6. - t^4.147/y - t^4.147*y | detail |