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 |
---|---|---|---|---|---|---|---|---|---|
3285 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6629 | 0.8357 | 0.7933 | [X:[1.4567], M:[0.8819, 1.2205, 0.5433, 0.7795, 0.7795, 0.7795], q:[0.3386, 0.7795], qb:[0.4409, 0.6772], phi:[0.4409]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [1], [1]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 3*t^2.339 + 2*t^2.646 + t^3.047 + 2*t^3.354 + t^3.969 + 2*t^4.37 + 7*t^4.677 + 5*t^4.984 + 2*t^5.291 + 4*t^5.386 + 7*t^5.693 + t^6.094 - t^6.307 + 2*t^6.402 + t^6.614 + 5*t^6.709 + 11*t^7.016 + 7*t^7.323 + 2*t^7.417 + 3*t^7.63 + 11*t^7.724 + 4*t^7.937 + 12*t^8.031 - 4*t^8.339 + 4*t^8.433 - 6*t^8.646 + 9*t^8.74 - 3*t^8.953 - t^4.323/y - (2*t^6.661)/y - (2*t^6.969)/y + (5*t^7.677)/y + (8*t^7.984)/y + t^8.291/y + (3*t^8.386)/y + (8*t^8.693)/y - t^4.323*y - 2*t^6.661*y - 2*t^6.969*y + 5*t^7.677*y + 8*t^7.984*y + t^8.291*y + 3*t^8.386*y + 8*t^8.693*y | 3*g1*t^2.339 + (2*t^2.646)/g1^4 + g1^9*t^3.047 + 2*g1^4*t^3.354 + t^3.969/g1^6 + 2*g1^7*t^4.37 + 7*g1^2*t^4.677 + (5*t^4.984)/g1^3 + (2*t^5.291)/g1^8 + 4*g1^10*t^5.386 + 7*g1^5*t^5.693 + g1^18*t^6.094 - t^6.307/g1^5 + 2*g1^13*t^6.402 + t^6.614/g1^10 + 5*g1^8*t^6.709 + 11*g1^3*t^7.016 + (7*t^7.323)/g1^2 + 2*g1^16*t^7.417 + (3*t^7.63)/g1^7 + 11*g1^11*t^7.724 + (4*t^7.937)/g1^12 + 12*g1^6*t^8.031 - 4*g1*t^8.339 + 4*g1^19*t^8.433 - (6*t^8.646)/g1^4 + 9*g1^14*t^8.74 - (3*t^8.953)/g1^9 - t^4.323/(g1^2*y) - (2*t^6.661)/(g1*y) - (2*t^6.969)/(g1^6*y) + (5*g1^2*t^7.677)/y + (8*t^7.984)/(g1^3*y) + t^8.291/(g1^8*y) + (3*g1^10*t^8.386)/y + (8*g1^5*t^8.693)/y - (t^4.323*y)/g1^2 - (2*t^6.661*y)/g1 - (2*t^6.969*y)/g1^6 + 5*g1^2*t^7.677*y + (8*t^7.984*y)/g1^3 + (t^8.291*y)/g1^8 + 3*g1^10*t^8.386*y + 8*g1^5*t^8.693*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 |
---|---|---|---|---|---|---|---|---|
3716 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6742 | 0.8533 | 0.7901 | [X:[1.4837], M:[0.8665, 1.2166, 0.5163, 0.7834, 0.7834, 0.7834, 0.8665], q:[0.3502, 0.7834], qb:[0.4332, 0.7003], phi:[0.4332]] | 3*t^2.35 + 3*t^2.599 + t^3.151 + t^3.401 + t^3.899 + 2*t^4.451 + 7*t^4.7 + 8*t^4.95 + 5*t^5.199 + 4*t^5.502 + 5*t^5.751 - t^6. - t^4.3/y - t^4.3*y | detail | |
3717 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6837 | 0.877 | 0.7797 | [X:[1.4543], M:[0.8833, 1.2208, 0.5457, 0.7792, 0.7792, 0.7792, 0.6751], q:[0.3376, 0.7792], qb:[0.4416, 0.6751], phi:[0.4416]] | t^2.025 + 3*t^2.338 + 2*t^2.65 + t^3.038 + 2*t^3.35 + t^4.051 + 5*t^4.363 + 9*t^4.675 + 5*t^4.987 + t^5.063 + 2*t^5.3 + 6*t^5.376 + 7*t^5.688 - t^4.325/y - t^4.325*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 |
---|---|---|---|---|---|---|---|---|---|
2772 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6453 | 0.804 | 0.8026 | [X:[1.4612], M:[0.8793, 1.2198, 0.5388, 0.7802, 0.7802], q:[0.3405, 0.7802], qb:[0.4397, 0.681], phi:[0.4397]] | 2*t^2.34 + 2*t^2.638 + t^3.064 + 2*t^3.362 + t^3.66 + t^3.957 + 2*t^4.383 + 4*t^4.681 + 3*t^4.979 + 2*t^5.276 + 3*t^5.405 + 5*t^5.702 + 2*t^6. - t^4.319/y - t^4.319*y | detail |