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 |
---|---|---|---|---|---|---|---|---|---|
56732 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ | 0.7 | 0.8586 | 0.8152 | [M:[0.9487, 1.0257, 1.0, 0.923, 1.0513, 0.8973, 1.0513], q:[0.4615, 0.5899], qb:[0.5128, 0.4872], phi:[0.4872]] | [M:[[4], [-2], [0], [6], [-4], [8], [-4]], q:[[3], [-7]], qb:[[-1], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -2 | t^2.692 + t^2.769 + t^2.923 + t^3. + t^3.077 + 2*t^3.154 + t^4.23 + t^4.307 + 2*t^4.384 + t^4.461 + t^4.539 + t^4.616 + t^4.693 + t^4.77 + t^5.001 + t^5.384 + t^5.461 + t^5.538 + t^5.692 + t^5.769 + 3*t^5.846 + t^5.923 - 2*t^6. + t^6.077 + t^6.154 + t^6.231 + 2*t^6.308 - t^6.385 + t^6.922 + 2*t^6.999 + 2*t^7.076 + 3*t^7.153 + 2*t^7.23 + 3*t^7.307 + 4*t^7.384 + 2*t^7.461 + 3*t^7.539 + 2*t^7.693 + 2*t^7.77 + 2*t^7.924 + t^8.076 + t^8.153 + 2*t^8.155 + t^8.23 + t^8.307 + 3*t^8.461 + 3*t^8.538 + 3*t^8.615 - t^8.692 - t^8.769 + 2*t^8.846 - t^4.461/y - t^7.153/y - t^7.23/y + t^7.307/y - t^7.616/y + t^7.693/y + t^7.77/y + t^8.461/y + t^8.615/y + (2*t^8.692)/y + (2*t^8.769)/y + (3*t^8.846)/y + (3*t^8.923)/y - t^4.461*y - t^7.153*y - t^7.23*y + t^7.307*y - t^7.616*y + t^7.693*y + t^7.77*y + t^8.461*y + t^8.615*y + 2*t^8.692*y + 2*t^8.769*y + 3*t^8.846*y + 3*t^8.923*y | g1^8*t^2.692 + g1^6*t^2.769 + g1^2*t^2.923 + t^3. + t^3.077/g1^2 + (2*t^3.154)/g1^4 + g1^7*t^4.23 + g1^5*t^4.307 + 2*g1^3*t^4.384 + g1*t^4.461 + t^4.539/g1 + t^4.616/g1^3 + t^4.693/g1^5 + t^4.77/g1^7 + t^5.001/g1^13 + g1^16*t^5.384 + g1^14*t^5.461 + g1^12*t^5.538 + g1^8*t^5.692 + g1^6*t^5.769 + 3*g1^4*t^5.846 + g1^2*t^5.923 - 2*t^6. + t^6.077/g1^2 + t^6.154/g1^4 + t^6.231/g1^6 + (2*t^6.308)/g1^8 - t^6.385/g1^10 + g1^15*t^6.922 + 2*g1^13*t^6.999 + 2*g1^11*t^7.076 + 3*g1^9*t^7.153 + 2*g1^7*t^7.23 + 3*g1^5*t^7.307 + 4*g1^3*t^7.384 + 2*g1*t^7.461 + (3*t^7.539)/g1 + (2*t^7.693)/g1^5 + (2*t^7.77)/g1^7 + (2*t^7.924)/g1^11 + g1^24*t^8.076 + g1^22*t^8.153 + (2*t^8.155)/g1^17 + g1^20*t^8.23 + g1^18*t^8.307 + 3*g1^14*t^8.461 + 3*g1^12*t^8.538 + 3*g1^10*t^8.615 - g1^8*t^8.692 - g1^6*t^8.769 + 2*g1^4*t^8.846 - (g1*t^4.461)/y - (g1^9*t^7.153)/y - (g1^7*t^7.23)/y + (g1^5*t^7.307)/y - t^7.616/(g1^3*y) + t^7.693/(g1^5*y) + t^7.77/(g1^7*y) + (g1^14*t^8.461)/y + (g1^10*t^8.615)/y + (2*g1^8*t^8.692)/y + (2*g1^6*t^8.769)/y + (3*g1^4*t^8.846)/y + (3*g1^2*t^8.923)/y - g1*t^4.461*y - g1^9*t^7.153*y - g1^7*t^7.23*y + g1^5*t^7.307*y - (t^7.616*y)/g1^3 + (t^7.693*y)/g1^5 + (t^7.77*y)/g1^7 + g1^14*t^8.461*y + g1^10*t^8.615*y + 2*g1^8*t^8.692*y + 2*g1^6*t^8.769*y + 3*g1^4*t^8.846*y + 3*g1^2*t^8.923*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 |
---|---|---|---|---|---|---|---|---|
58791 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}M_{8}$ | 0.7026 | 0.8634 | 0.8137 | [M:[0.9415, 1.0292, 1.0, 0.9123, 1.0585, 0.8831, 1.0585, 0.9708], q:[0.4561, 0.6023], qb:[0.5146, 0.4854], phi:[0.4854]] | t^2.649 + t^2.737 + 2*t^2.912 + t^3. + 2*t^3.175 + t^4.193 + t^4.281 + 2*t^4.368 + t^4.456 + t^4.544 + t^4.632 + t^4.719 + t^4.807 + t^5.07 + t^5.298 + t^5.386 + t^5.474 + t^5.561 + 2*t^5.649 + 4*t^5.825 + 2*t^5.912 - 3*t^6. - t^4.456/y - t^4.456*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 |
---|---|---|---|---|---|---|---|---|---|
55090 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.7054 | 0.8688 | 0.8119 | [M:[0.9348, 1.0326, 1.0, 0.9023, 1.0652, 0.8697], q:[0.4511, 0.614], qb:[0.5163, 0.4837], phi:[0.4837]] | t^2.609 + t^2.707 + t^2.805 + t^2.902 + t^3. + t^3.098 + t^3.195 + t^4.158 + t^4.256 + 2*t^4.353 + t^4.451 + t^4.549 + t^4.647 + t^4.744 + t^4.842 + t^5.135 + t^5.218 + t^5.316 + 2*t^5.414 + t^5.511 + 2*t^5.609 + 2*t^5.707 + 3*t^5.805 + t^5.902 - t^6. - t^4.451/y - t^4.451*y | detail |