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 |
---|---|---|---|---|---|---|---|---|---|
294 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5056 | 0.6427 | 0.7867 | [M:[1.1929, 0.8071, 0.7952], q:[0.3976, 1.2048], qb:[0.4095, 0.3976], phi:[0.3976]] | [M:[[3], [-3], [2]], q:[[1], [-2]], qb:[[-4], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | 3*t^2.386 + 2*t^2.421 + t^3.579 + t^3.65 + 5*t^4.771 + 7*t^4.807 + 4*t^4.843 + t^5.964 - 3*t^6. + t^6.036 + 2*t^6.071 + 7*t^7.157 + 8*t^7.193 + 9*t^7.229 + 5*t^7.264 + t^7.3 - 9*t^8.386 - 9*t^8.421 + t^8.457 + 4*t^8.493 - t^4.193/y - (2*t^6.579)/y + (3*t^7.771)/y + (8*t^7.807)/y + t^7.843/y - t^4.193*y - 2*t^6.579*y + 3*t^7.771*y + 8*t^7.807*y + t^7.843*y | 3*g1^2*t^2.386 + (2*t^2.421)/g1^3 + g1^3*t^3.579 + t^3.65/g1^7 + 5*g1^4*t^4.771 + (7*t^4.807)/g1 + (4*t^4.843)/g1^6 + g1^5*t^5.964 - 3*t^6. + t^6.036/g1^5 + (2*t^6.071)/g1^10 + 7*g1^6*t^7.157 + 8*g1*t^7.193 + (9*t^7.229)/g1^4 + (5*t^7.264)/g1^9 + t^7.3/g1^14 - 9*g1^2*t^8.386 - (9*t^8.421)/g1^3 + t^8.457/g1^8 + (4*t^8.493)/g1^13 - (g1*t^4.193)/y - (2*g1^3*t^6.579)/y + (3*g1^4*t^7.771)/y + (8*t^7.807)/(g1*y) + t^7.843/(g1^6*y) - g1*t^4.193*y - 2*g1^3*t^6.579*y + 3*g1^4*t^7.771*y + (8*t^7.807*y)/g1 + (t^7.843*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
469 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.5221 | 0.6729 | 0.7759 | [M:[1.2065, 0.7935, 0.8043, 0.7935], q:[0.4022, 1.1957], qb:[0.3913, 0.4022], phi:[0.4022]] | 3*t^2.38 + 3*t^2.413 + t^3.554 + 7*t^4.761 + 10*t^4.793 + 5*t^4.826 + 3*t^5.935 + t^5.967 - 5*t^6. - t^4.207/y - t^4.207*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 |
---|---|---|---|---|---|---|---|---|---|
187 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5458 | 0.6894 | 0.7916 | [M:[1.0, 1.0, 0.8656], q:[0.582, 0.9852], qb:[0.418, 0.2836], phi:[0.4328]] | t^2.105 + 3*t^2.597 + 2*t^3. + 2*t^3.806 + 2*t^4.21 + 4*t^4.702 + 2*t^5.105 + 5*t^5.194 + 4*t^5.597 + 2*t^5.911 - t^6. - t^4.298/y - t^4.298*y | detail |