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 |
---|---|---|---|---|---|---|---|---|---|
46151 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_1M_3$ | 0.5213 | 0.6482 | 0.8042 | [X:[], M:[0.8658, 1.1342, 1.1342], q:[0.9697, 0.5974], qb:[0.2684, 0.4329], phi:[0.4329]] | [X:[], M:[[2], [-2], [-2]], q:[[-7], [6]], qb:[[-4], [1]], phi:[[1]]] | 1 | {a: 148361/284592, c: 92237/142296, M1: 200/231, M2: 262/231, M3: 262/231, q1: 32/33, q2: 46/77, qb1: 62/231, qb2: 100/231, phi1: 100/231} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ M_2$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ \phi_1^4$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1^4$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_3\phi_1^2$ | 0 | t^2.1 + t^2.6 + t^2.91 + t^3.09 + 2*t^3.4 + t^3.71 + t^3.9 + 2*t^4.21 + 2*t^4.7 + t^5.01 + t^5.19 + 2*t^5.51 + 2*t^5.82 + t^6.18 + 3*t^6.31 + t^6.62 + 3*t^6.81 + 3*t^7.12 + t^7.3 + t^7.43 + 3*t^7.61 + 3*t^7.92 - t^8.1 + 4*t^8.42 - 2*t^8.6 + 2*t^8.73 - t^4.3/y + t^7.7/y + t^8.01/y + t^8.19/y + (3*t^8.51)/y + t^8.69/y + t^8.82/y - t^4.3*y + t^7.7*y + t^8.01*y + t^8.19*y + 3*t^8.51*y + t^8.69*y + t^8.82*y | t^2.1/g1^3 + g1^2*t^2.6 + t^2.91/g1^7 + g1^7*t^3.09 + (2*t^3.4)/g1^2 + t^3.71/g1^11 + g1^3*t^3.9 + (2*t^4.21)/g1^6 + (2*t^4.7)/g1 + t^5.01/g1^10 + g1^4*t^5.19 + (2*t^5.51)/g1^5 + (2*t^5.82)/g1^14 + g1^14*t^6.18 + (3*t^6.31)/g1^9 + t^6.62/g1^18 + (3*t^6.81)/g1^4 + (3*t^7.12)/g1^13 + g1*t^7.3 + t^7.43/g1^22 + (3*t^7.61)/g1^8 + (3*t^7.92)/g1^17 - t^8.1/g1^3 + (4*t^8.42)/g1^12 - 2*g1^2*t^8.6 + (2*t^8.73)/g1^21 - (g1*t^4.3)/y + t^7.7/(g1*y) + t^8.01/(g1^10*y) + (g1^4*t^8.19)/y + (3*t^8.51)/(g1^5*y) + (g1^9*t^8.69)/y + t^8.82/(g1^14*y) - g1*t^4.3*y + (t^7.7*y)/g1 + (t^8.01*y)/g1^10 + g1^4*t^8.19*y + (3*t^8.51*y)/g1^5 + g1^9*t^8.69*y + (t^8.82*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
46557 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.5418 | 0.6877 | 0.7879 | [X:[], M:[0.8669, 1.1331, 1.1331, 0.6997], q:[0.9659, 0.6007], qb:[0.2662, 0.4334], phi:[0.4334]] | 2*t^2.1 + t^2.6 + t^2.9 + t^3.1 + 2*t^3.4 + t^3.7 + 4*t^4.2 + 3*t^4.7 + 2*t^5. + 2*t^5.2 + 4*t^5.5 + 3*t^5.8 - t^6. - t^4.3/y - t^4.3*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 |
---|---|---|---|---|---|---|---|---|---|
46028 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2^3$ | 0.5333 | 0.6681 | 0.7983 | [X:[], M:[0.8626, 1.1374], q:[0.981, 0.5878], qb:[0.2748, 0.4313], phi:[0.4313]] | t^2.12 + 2*t^2.59 + t^2.94 + t^3.06 + t^3.41 + t^3.77 + t^3.88 + 2*t^4.24 + 3*t^4.71 + t^5.06 + 3*t^5.18 + 2*t^5.53 + t^5.64 + 2*t^5.89 - t^4.29/y - t^4.29*y | detail |