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 |
---|---|---|---|---|---|---|---|---|---|
46092 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5056 | 0.6427 | 0.7867 | [M:[0.7952, 0.8071, 1.1929], q:[0.6083, 0.9941], qb:[0.1988, 0.6083], phi:[0.3976]] | [M:[[-4], [6], [-6]], q:[[7], [-5]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -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*t^2.386)/g1^4 + 2*g1^6*t^2.421 + t^3.579/g1^6 + g1^14*t^3.65 + (5*t^4.771)/g1^8 + 7*g1^2*t^4.807 + 4*g1^12*t^4.843 + t^5.964/g1^10 - 3*t^6. + g1^10*t^6.036 + 2*g1^20*t^6.071 + (7*t^7.157)/g1^12 + (8*t^7.193)/g1^2 + 9*g1^8*t^7.229 + 5*g1^18*t^7.264 + g1^28*t^7.3 - (9*t^8.386)/g1^4 - 9*g1^6*t^8.421 + g1^16*t^8.457 + 4*g1^26*t^8.493 - t^4.193/(g1^2*y) - (2*t^6.579)/(g1^6*y) + (3*t^7.771)/(g1^8*y) + (8*g1^2*t^7.807)/y + (g1^12*t^7.843)/y - (t^4.193*y)/g1^2 - (2*t^6.579*y)/g1^6 + (3*t^7.771*y)/g1^8 + 8*g1^2*t^7.807*y + g1^12*t^7.843*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 |
---|---|---|---|---|---|---|---|---|
46755 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.5221 | 0.6729 | 0.7759 | [M:[0.8043, 0.7935, 1.2065, 0.7935], q:[0.5924, 1.0054], qb:[0.2011, 0.5924], 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 | |
46354 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.5055 | 0.643 | 0.7862 | [M:[0.8, 0.8, 1.2], q:[0.6, 1.0], qb:[0.2, 0.6], phi:[0.4]] | 5*t^2.4 + 2*t^3.6 + 16*t^4.8 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 1011/2000, c: 643/1000, M1: 4/5, M2: 4/5, M3: 6/5, q1: 3/5, q2: 1, qb1: 1/5, qb2: 3/5, phi1: 2/5} |
46580 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.5243 | 0.6766 | 0.775 | [M:[0.7819, 0.8272, 1.1728, 0.7366], q:[0.6317, 0.9774], qb:[0.1955, 0.6317], phi:[0.3909]] | t^2.21 + 3*t^2.346 + 2*t^2.482 + t^3.518 + t^4.42 + 3*t^4.555 + 7*t^4.691 + 7*t^4.827 + 4*t^4.963 + t^5.728 + t^5.864 - 3*t^6. - t^4.173/y - t^4.173*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 |
---|---|---|---|---|---|---|---|---|---|
45999 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ | 0.5458 | 0.6894 | 0.7916 | [M:[0.8656, 1.0, 1.0], q:[0.7836, 0.7836], qb:[0.2164, 0.4852], 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 |