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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60047 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.9319 | 1.1267 | 0.8272 | [X:[1.5, 1.6159, 1.3841, 1.5], M:[0.8841], q:[0.372, 0.2561], qb:[0.128, 0.2439], phi:[0.5]] | [X:[[0], [-3], [3], [0]], M:[[3]], q:[[-1], [2]], qb:[[1], [-2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}\tilde{q}_{2}^{2}$ | 4 | 2*t^2.65 + 4*t^3. + t^3.35 + 3*t^4.15 + 7*t^4.5 + 3*t^4.85 + 3*t^5.3 + 7*t^5.65 + 4*t^6. - t^6.35 + 2*t^6.7 + 7*t^6.8 + 17*t^7.15 + 19*t^7.5 + 8*t^7.85 + 4*t^7.96 + 13*t^8.3 + 10*t^8.65 - t^4.5/y - t^6./y - t^7.15/y + t^7.5/y + t^7.85/y + t^8.3/y + (5*t^8.65)/y - t^4.5*y - t^6.*y - t^7.15*y + t^7.5*y + t^7.85*y + t^8.3*y + 5*t^8.65*y | 2*g1^3*t^2.65 + 4*t^3. + t^3.35/g1^3 + 3*g1^3*t^4.15 + 7*t^4.5 + (3*t^4.85)/g1^3 + 3*g1^6*t^5.3 + 7*g1^3*t^5.65 + 4*t^6. - t^6.35/g1^3 + (2*t^6.7)/g1^6 + 7*g1^6*t^6.8 + 17*g1^3*t^7.15 + 19*t^7.5 + (8*t^7.85)/g1^3 + 4*g1^9*t^7.96 + 13*g1^6*t^8.3 + 10*g1^3*t^8.65 - t^4.5/y - t^6./y - (g1^3*t^7.15)/y + t^7.5/y + t^7.85/(g1^3*y) + (g1^6*t^8.3)/y + (5*g1^3*t^8.65)/y - t^4.5*y - t^6.*y - g1^3*t^7.15*y + t^7.5*y + (t^7.85*y)/g1^3 + g1^6*t^8.3*y + 5*g1^3*t^8.65*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57477 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9393 | 1.1336 | 0.8286 | [X:[1.426, 1.6092, 1.3908, 1.574], M:[0.8908], q:[0.3944, 0.2112], qb:[0.1796, 0.2148], phi:[0.5]] | 2*t^2.67 + t^2.78 + t^3. + 2*t^3.22 + t^3.33 + t^3.95 + 2*t^4.17 + 2*t^4.28 + 2*t^4.5 + 3*t^4.72 + 3*t^4.83 + 3*t^5.34 + 2*t^5.45 + t^5.56 + t^5.67 + 3*t^5.89 - t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |