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 |
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57427 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.0955 | 1.1928 | 0.9184 | [X:[1.535], M:[0.9299, 1.3026], q:[0.4188, 0.8838], qb:[0.4188, 0.8838], phi:[0.2325]] | [X:[[0, 0, 2]], M:[[0, 0, -4], [0, 0, 3]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}$ | -5 | t^2.513 + t^2.79 + 4*t^3.908 + t^4.605 + t^5.026 + 2*t^5.303 + t^5.58 + 4*t^5.862 - 5*t^6. + 4*t^6.42 + 3*t^6.697 + t^7.118 - 2*t^7.395 + t^7.538 + 11*t^7.815 - 4*t^7.954 + 4*t^8.092 + t^8.369 + 4*t^8.374 - 2*t^8.513 - 4*t^8.79 + 4*t^8.933 + t^8.092/y^2 - t^3.697/y - t^4.395/y - t^6.21/y - t^6.487/y - t^7.185/y - (3*t^7.605)/y - t^8.723/y - t^3.697*y - t^4.395*y - t^6.21*y - t^6.487*y - t^7.185*y - 3*t^7.605*y - t^8.723*y + t^8.092*y^2 | g3^5*t^2.513 + t^2.79/g3^4 + (g1*g3*t^3.908)/g2 + 2*g3^3*t^3.908 + (g2*g3^5*t^3.908)/g1 + g3^2*t^4.605 + g3^10*t^5.026 + 2*g3*t^5.303 + t^5.58/g3^8 + (g1^3*t^5.862)/g3^3 + (g1^2*g2*t^5.862)/g3 + (g3^10*t^5.862)/(g1^2*g2) + (g3^12*t^5.862)/g1^3 - 3*t^6. - (g1*t^6.)/(g2*g3^2) - (g2*g3^2*t^6.)/g1 + (g1*g3^6*t^6.42)/g2 + 2*g3^8*t^6.42 + (g2*g3^10*t^6.42)/g1 + (g1*t^6.697)/(g2*g3^3) + t^6.697/g3 + (g2*g3*t^6.697)/g1 + g3^7*t^7.118 - (g2*t^7.395)/g1 - (g1*t^7.395)/(g2*g3^4) + g3^15*t^7.538 + (g1^2*g3^2*t^7.815)/g2^2 + (2*g1*g3^4*t^7.815)/g2 + 5*g3^6*t^7.815 + (2*g2*g3^8*t^7.815)/g1 + (g2^2*g3^10*t^7.815)/g1^2 - (g1^3*t^7.954)/g3^6 - (g1^2*g2*t^7.954)/g3^4 - (g3^7*t^7.954)/(g1^2*g2) - (g3^9*t^7.954)/g1^3 + (4*t^8.092)/g3^3 + t^8.369/g3^12 + g1^3*g3^2*t^8.374 + g1^2*g2*g3^4*t^8.374 + (g3^15*t^8.374)/(g1^2*g2) + (g3^17*t^8.374)/g1^3 - 2*g3^5*t^8.513 - (g1*t^8.79)/(g2*g3^6) - (2*t^8.79)/g3^4 - (g2*t^8.79)/(g1*g3^2) + (g1*g3^11*t^8.933)/g2 + 2*g3^13*t^8.933 + (g2*g3^15*t^8.933)/g1 + t^8.092/(g3^3*y^2) - t^3.697/(g3*y) - t^4.395/(g3^2*y) - (g3^4*t^6.21)/y - t^6.487/(g3^5*y) - t^7.185/(g3^6*y) - (g1*t^7.605)/(g2*y) - (g3^2*t^7.605)/y - (g2*g3^4*t^7.605)/(g1*y) - (g3^9*t^8.723)/y - (t^3.697*y)/g3 - (t^4.395*y)/g3^2 - g3^4*t^6.21*y - (t^6.487*y)/g3^5 - (t^7.185*y)/g3^6 - (g1*t^7.605*y)/g2 - g3^2*t^7.605*y - (g2*g3^4*t^7.605*y)/g1 - g3^9*t^8.723*y + (t^8.092*y^2)/g3^3 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
47904 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1161 | 1.2318 | 0.9061 | [X:[1.5372], M:[0.9256], q:[0.4215, 0.8843], qb:[0.4215, 0.8843], phi:[0.2314]] | t^2.083 + t^2.529 + t^2.777 + 3*t^3.917 + t^4.165 + 2*t^4.612 + t^4.859 + t^5.058 + 2*t^5.306 + t^5.553 + 4*t^5.876 - 2*t^6. - t^3.694/y - t^4.388/y - t^5.777/y - t^3.694*y - t^4.388*y - t^5.777*y | detail |