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 |
---|---|---|---|---|---|---|---|---|---|
50969 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{6}$ | 0.6965 | 0.8541 | 0.8154 | [M:[1.0449, 1.015, 0.9252, 0.9551, 1.015, 0.985], q:[0.4477, 0.5075], qb:[0.5374, 0.5374], phi:[0.4925]] | [M:[[6], [2], [-10], [-6], [2], [-2]], q:[[-7], [1]], qb:[[5], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | -2 | t^2.776 + t^2.865 + 2*t^2.955 + t^3.045 + 2*t^3.135 + t^4.164 + t^4.343 + 2*t^4.433 + t^4.522 + 2*t^4.612 + 3*t^4.702 + t^5.551 + t^5.641 + t^5.731 + 2*t^5.821 + 4*t^5.91 - 2*t^6. + 2*t^6.09 + t^6.179 + t^6.269 + t^6.939 + t^7.029 + 3*t^7.119 + t^7.208 + 4*t^7.298 + 4*t^7.388 + 2*t^7.478 + 4*t^7.567 + 5*t^7.657 + t^7.747 + 4*t^7.836 + 2*t^8.327 + t^8.417 + 2*t^8.507 + 3*t^8.596 + 2*t^8.686 + t^8.776 + 4*t^8.865 - 5*t^8.955 - t^4.478/y - t^7.253/y + t^7.702/y + t^8.641/y + (2*t^8.731)/y + (3*t^8.821)/y + (4*t^8.91)/y - t^4.478*y - t^7.253*y + t^7.702*y + t^8.641*y + 2*t^8.731*y + 3*t^8.821*y + 4*t^8.91*y | t^2.776/g1^10 + t^2.865/g1^6 + (2*t^2.955)/g1^2 + g1^2*t^3.045 + 2*g1^6*t^3.135 + t^4.164/g1^15 + t^4.343/g1^7 + (2*t^4.433)/g1^3 + g1*t^4.522 + 2*g1^5*t^4.612 + 3*g1^9*t^4.702 + t^5.551/g1^20 + t^5.641/g1^16 + t^5.731/g1^12 + (2*t^5.821)/g1^8 + (4*t^5.91)/g1^4 - 2*t^6. + 2*g1^4*t^6.09 + g1^8*t^6.179 + g1^12*t^6.269 + t^6.939/g1^25 + t^7.029/g1^21 + (3*t^7.119)/g1^17 + t^7.208/g1^13 + (4*t^7.298)/g1^9 + (4*t^7.388)/g1^5 + (2*t^7.478)/g1 + 4*g1^3*t^7.567 + 5*g1^7*t^7.657 + g1^11*t^7.747 + 4*g1^15*t^7.836 + (2*t^8.327)/g1^30 + t^8.417/g1^26 + (2*t^8.507)/g1^22 + (3*t^8.596)/g1^18 + (2*t^8.686)/g1^14 + t^8.776/g1^10 + (4*t^8.865)/g1^6 - (5*t^8.955)/g1^2 - t^4.478/(g1*y) - t^7.253/(g1^11*y) + (g1^9*t^7.702)/y + t^8.641/(g1^16*y) + (2*t^8.731)/(g1^12*y) + (3*t^8.821)/(g1^8*y) + (4*t^8.91)/(g1^4*y) - (t^4.478*y)/g1 - (t^7.253*y)/g1^11 + g1^9*t^7.702*y + (t^8.641*y)/g1^16 + (2*t^8.731*y)/g1^12 + (3*t^8.821*y)/g1^8 + (4*t^8.91*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
56224 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ | 0.698 | 0.8569 | 0.8146 | [M:[1.0508, 1.0169, 0.9153, 0.9492, 1.0169, 0.9831, 0.9831], q:[0.4407, 0.5085], qb:[0.5424, 0.5424], phi:[0.4915]] | t^2.746 + t^2.847 + 3*t^2.949 + 2*t^3.153 + t^4.119 + t^4.322 + 2*t^4.424 + t^4.525 + 2*t^4.627 + 3*t^4.729 + t^5.492 + t^5.593 + 2*t^5.695 + 2*t^5.797 + 6*t^5.898 - 4*t^6. - t^4.475/y - t^4.475*y | detail | |
56222 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{4}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6931 | 0.8485 | 0.8168 | [M:[1.0265, 1.0088, 0.9558, 0.9735, 1.0088, 0.9912, 1.0265], q:[0.469, 0.5044], qb:[0.5221, 0.5221], phi:[0.4956]] | t^2.867 + 2*t^2.973 + t^3.027 + 3*t^3.08 + t^4.301 + t^4.407 + 2*t^4.46 + t^4.513 + 2*t^4.566 + 3*t^4.619 + t^5.735 + 4*t^5.947 - 4*t^6. - t^4.487/y - t^4.487*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 |
---|---|---|---|---|---|---|---|---|---|
47091 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{4}$ | 0.71 | 0.8716 | 0.8146 | [M:[1.0, 0.8862, 0.8862, 1.0, 1.0569, 0.9431], q:[0.4716, 0.5284], qb:[0.6422, 0.4716], phi:[0.4716]] | 2*t^2.659 + 2*t^2.829 + 2*t^3. + t^3.512 + 3*t^4.244 + 2*t^4.415 + t^4.585 + 2*t^4.756 + t^4.927 + t^5.268 + 3*t^5.317 + 2*t^5.488 + 6*t^5.659 + 2*t^5.829 - 3*t^6. - t^4.415/y - t^4.415*y | detail |