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 |
---|---|---|---|---|---|---|---|---|---|
184 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.6891, 0.6994, 0.6994], q:[0.8355, 0.8148], qb:[0.4754, 0.4754], phi:[0.3497]] | [X:[], M:[[1, -5], [0, -4], [0, -4]], q:[[-1, 2], [1, 0]], qb:[[0, 3], [0, 3]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ M_3$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1q_2\tilde{q}_1$, $ M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$ | $M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$ | -1 | t^2.07 + 3*t^2.1 + t^2.85 + 2*t^3.87 + t^3.9 + t^3.93 + t^4.13 + 3*t^4.17 + 6*t^4.2 + t^4.92 + 4*t^4.95 + t^5.71 + 2*t^5.94 + 5*t^5.97 - t^6. + t^6.03 + t^6.2 + 3*t^6.23 + 6*t^6.26 + 10*t^6.29 + 2*t^6.72 + t^6.75 + t^6.79 + t^6.99 + 2*t^7.02 + 5*t^7.05 - 2*t^7.08 + 3*t^7.74 + t^7.77 + 2*t^7.8 - t^7.83 + t^7.87 + 2*t^8.01 + 5*t^8.04 + 5*t^8.07 - 7*t^8.1 + t^8.27 + 3*t^8.3 + 6*t^8.33 + 10*t^8.36 + 15*t^8.39 + t^8.56 + 2*t^8.79 + 5*t^8.82 - 4*t^8.85 - t^4.05/y - t^6.12/y - (3*t^6.15)/y + (3*t^7.17)/y + (3*t^7.2)/y + t^7.92/y + (6*t^7.95)/y + t^7.98/y - t^8.18/y - (3*t^8.21)/y - (6*t^8.25)/y + (2*t^8.94)/y + (7*t^8.97)/y - t^4.05*y - t^6.12*y - 3*t^6.15*y + 3*t^7.17*y + 3*t^7.2*y + t^7.92*y + 6*t^7.95*y + t^7.98*y - t^8.18*y - 3*t^8.21*y - 6*t^8.25*y + 2*t^8.94*y + 7*t^8.97*y | (g1*t^2.07)/g2^5 + (3*t^2.1)/g2^4 + g2^6*t^2.85 + 2*g1*g2^3*t^3.87 + g2^4*t^3.9 + (g2^5*t^3.93)/g1 + (g1^2*t^4.13)/g2^10 + (3*g1*t^4.17)/g2^9 + (6*t^4.2)/g2^8 + g1*g2*t^4.92 + 4*g2^2*t^4.95 + g2^12*t^5.71 + (2*g1^2*t^5.94)/g2^2 + (5*g1*t^5.97)/g2 - t^6. + (g2*t^6.03)/g1 + (g1^3*t^6.2)/g2^15 + (3*g1^2*t^6.23)/g2^14 + (6*g1*t^6.26)/g2^13 + (10*t^6.29)/g2^12 + 2*g1*g2^9*t^6.72 + g2^10*t^6.75 + (g2^11*t^6.79)/g1 + (g1^2*t^6.99)/g2^4 + (2*g1*t^7.02)/g2^3 + (5*t^7.05)/g2^2 - (2*t^7.08)/(g1*g2) + 3*g1^2*g2^6*t^7.74 + g1*g2^7*t^7.77 + 2*g2^8*t^7.8 - (g2^9*t^7.83)/g1 + (g2^10*t^7.87)/g1^2 + (2*g1^3*t^8.01)/g2^7 + (5*g1^2*t^8.04)/g2^6 + (5*g1*t^8.07)/g2^5 - (7*t^8.1)/g2^4 + (g1^4*t^8.27)/g2^20 + (3*g1^3*t^8.3)/g2^19 + (6*g1^2*t^8.33)/g2^18 + (10*g1*t^8.36)/g2^17 + (15*t^8.39)/g2^16 + g2^18*t^8.56 + 2*g1^2*g2^4*t^8.79 + 5*g1*g2^5*t^8.82 - 4*g2^6*t^8.85 - t^4.05/(g2^2*y) - (g1*t^6.12)/(g2^7*y) - (3*t^6.15)/(g2^6*y) + (3*g1*t^7.17)/(g2^9*y) + (3*t^7.2)/(g2^8*y) + (g1*g2*t^7.92)/y + (6*g2^2*t^7.95)/y + (g2^3*t^7.98)/(g1*y) - (g1^2*t^8.18)/(g2^12*y) - (3*g1*t^8.21)/(g2^11*y) - (6*t^8.25)/(g2^10*y) + (2*g1^2*t^8.94)/(g2^2*y) + (7*g1*t^8.97)/(g2*y) - (t^4.05*y)/g2^2 - (g1*t^6.12*y)/g2^7 - (3*t^6.15*y)/g2^6 + (3*g1*t^7.17*y)/g2^9 + (3*t^7.2*y)/g2^8 + g1*g2*t^7.92*y + 6*g2^2*t^7.95*y + (g2^3*t^7.98*y)/g1 - (g1^2*t^8.18*y)/g2^12 - (3*g1*t^8.21*y)/g2^11 - (6*t^8.25*y)/g2^10 + (2*g1^2*t^8.94*y)/g2^2 + (7*g1*t^8.97*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
292 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6895 | 0.8749 | 0.7881 | [X:[], M:[0.6865, 0.6958, 0.6958, 0.6958], q:[0.8353, 0.8168], qb:[0.4782, 0.4782], phi:[0.3479]] | t^2.06 + 4*t^2.09 + t^2.87 + 2*t^3.89 + t^3.94 + t^4.12 + 4*t^4.15 + 10*t^4.17 + t^4.93 + 5*t^4.96 + t^5.74 + 2*t^5.94 + 6*t^5.97 - 4*t^6. - t^4.04/y - t^4.04*y | detail | |
290 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ | 0.6895 | 0.8743 | 0.7886 | [X:[], M:[0.6948, 0.6948, 0.6948, 0.6948], q:[0.8263, 0.8263], qb:[0.4789, 0.4789], phi:[0.3474]] | 5*t^2.08 + t^2.87 + 3*t^3.92 + 15*t^4.17 + 6*t^4.96 + t^5.75 + 6*t^6. - t^4.04/y - t^4.04*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 |
---|---|---|---|---|---|---|---|---|---|
115 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ \phi_1^3\tilde{q}_2^2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6485 | 0.7962 | 0.8145 | [X:[], M:[0.6924, 0.7041], q:[0.8357, 0.8123], qb:[0.472, 0.472], phi:[0.352]] | t^2.08 + 2*t^2.11 + t^2.83 + 2*t^3.85 + 2*t^3.89 + t^3.92 + t^4.15 + 2*t^4.19 + 3*t^4.22 + t^4.91 + 3*t^4.94 + t^5.66 + 2*t^5.93 + 4*t^5.96 - t^4.06/y - t^4.06*y | detail |