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 |
---|---|---|---|---|---|---|---|---|---|
45830 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.6515 | 0.7734 | 0.8425 | [q:[0.8051, 0.6101], qb:[0.6101, 0.4152], phi:[0.3899]] | [q:[[0, 1], [-1, 4]], qb:[[1, 0], [0, 3]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{2}^{2}$ | -3 | t^2.339 + 2*t^3.076 + 3*t^3.661 + 4*t^4.245 + t^4.679 + 3*t^4.83 - 3*t^6. + 3*t^6.152 - 4*t^6.585 + 6*t^6.736 + t^7.018 - 2*t^7.17 + 11*t^7.321 - 2*t^7.755 + 12*t^7.906 + 7*t^8.491 - t^4.17/y - t^6.509/y + t^7.83/y + (2*t^8.415)/y - t^8.848/y - t^4.17*y - t^6.509*y + t^7.83*y + 2*t^8.415*y - t^8.848*y | t^2.339/g2^4 + g1*g2^3*t^3.076 + (g2^7*t^3.076)/g1 + 3*g2^4*t^3.661 + 2*g1*g2*t^4.245 + (2*g2^5*t^4.245)/g1 + t^4.679/g2^8 + (g1^2*t^4.83)/g2^2 + g2^2*t^4.83 + (g2^6*t^4.83)/g1^2 - t^6. - (g1^2*t^6.)/g2^4 - (g2^4*t^6.)/g1^2 + g1^2*g2^6*t^6.152 + g2^10*t^6.152 + (g2^14*t^6.152)/g1^2 - (2*g1*t^6.585)/g2^3 - (2*g2*t^6.585)/g1 + 3*g1*g2^7*t^6.736 + (3*g2^11*t^6.736)/g1 + t^7.018/g2^12 - (2*t^7.17)/g2^2 + 2*g1^2*g2^4*t^7.321 + 7*g2^8*t^7.321 + (2*g2^12*t^7.321)/g1^2 - (g1*t^7.755)/g2^5 - t^7.755/(g1*g2) + g1^3*g2*t^7.906 + 5*g1*g2^5*t^7.906 + (5*g2^9*t^7.906)/g1 + (g2^13*t^7.906)/g1^3 + 3*g1^2*g2^2*t^8.491 + g2^6*t^8.491 + (3*g2^10*t^8.491)/g1^2 - t^4.17/(g2^2*y) - t^6.509/(g2^6*y) + (g2^2*t^7.83)/y + (g1*t^8.415)/(g2*y) + (g2^3*t^8.415)/(g1*y) - t^8.848/(g2^10*y) - (t^4.17*y)/g2^2 - (t^6.509*y)/g2^6 + g2^2*t^7.83*y + (g1*t^8.415*y)/g2 + (g2^3*t^8.415*y)/g1 - (t^8.848*y)/g2^10 |
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 |
---|---|---|---|---|---|---|---|---|
45853 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.3451 | 0.3488 | 0.9895 | [X:[1.6976], q:[0.9244, 0.4708], qb:[1.2268, 0.7732], phi:[0.1512]] | t^3.279 + t^4.186 - t^6. - t^3.454/y - t^3.454*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 |
---|---|---|---|---|---|---|---|---|---|
37 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ | 0.6732 | 0.8001 | 0.8414 | [q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.437 + 3*t^3.157 + 3*t^3.969 + 6*t^4.375 + t^4.874 + 3*t^5.594 - 9*t^6. - t^4.219/y - t^4.219*y | detail |