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 |
---|---|---|---|---|---|---|---|---|---|
2199 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1q_2$ | 0.6953 | 0.8828 | 0.7876 | [X:[], M:[0.9789, 1.0834, 1.1457, 0.8543, 0.6874, 0.8543, 0.6874], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-5], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_7$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_6$, $ M_4M_7$, $ M_6M_7$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_2M_5$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_5q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_1^2$ | . | -2 | 2*t^2.06 + 2*t^2.56 + t^2.75 + t^2.94 + t^3.25 + t^3.62 + t^3.75 + 4*t^4.12 + t^4.25 + t^4.44 + 5*t^4.63 + 2*t^4.81 + 2*t^5. + 3*t^5.13 + 4*t^5.31 + 2*t^5.5 + 2*t^5.69 + 3*t^5.81 + t^5.87 - 2*t^6. + 7*t^6.19 + 3*t^6.31 + t^6.37 + t^6.5 + t^6.56 + 8*t^6.69 + 2*t^6.81 + 2*t^6.87 + 3*t^7. + 3*t^7.06 + 6*t^7.19 + t^7.25 + 7*t^7.37 + t^7.5 + 3*t^7.56 + 2*t^7.69 + 4*t^7.75 + 6*t^7.88 + 2*t^7.94 + t^8. - 3*t^8.06 + 11*t^8.25 + 5*t^8.38 + 3*t^8.44 + t^8.5 - 5*t^8.56 + 2*t^8.62 + t^8.69 + 10*t^8.75 + t^8.81 + 6*t^8.88 - t^4.37/y - (2*t^6.44)/y - t^6.94/y + t^7.12/y - t^7.31/y + t^7.44/y + (4*t^7.63)/y + (3*t^7.81)/y + (2*t^8.)/y + t^8.13/y + (6*t^8.31)/y - t^8.5/y + (3*t^8.69)/y + (4*t^8.81)/y - t^4.37*y - 2*t^6.44*y - t^6.94*y + t^7.12*y - t^7.31*y + t^7.44*y + 4*t^7.63*y + 3*t^7.81*y + 2*t^8.*y + t^8.13*y + 6*t^8.31*y - t^8.5*y + 3*t^8.69*y + 4*t^8.81*y | 2*g1^3*t^2.06 + (2*t^2.56)/g1^5 + g1^4*t^2.75 + g1^13*t^2.94 + t^3.25/g1^4 + g1^14*t^3.62 + t^3.75/g1^12 + 4*g1^6*t^4.12 + t^4.25/g1^20 + t^4.44/g1^11 + (5*t^4.63)/g1^2 + 2*g1^7*t^4.81 + 2*g1^16*t^5. + (3*t^5.13)/g1^10 + (4*t^5.31)/g1 + 2*g1^8*t^5.5 + 2*g1^17*t^5.69 + (3*t^5.81)/g1^9 + g1^26*t^5.87 - 2*t^6. + 7*g1^9*t^6.19 + (3*t^6.31)/g1^17 + g1^18*t^6.37 + t^6.5/g1^8 + g1^27*t^6.56 + 8*g1*t^6.69 + (2*t^6.81)/g1^25 + 2*g1^10*t^6.87 + (3*t^7.)/g1^16 + 3*g1^19*t^7.06 + (6*t^7.19)/g1^7 + g1^28*t^7.25 + 7*g1^2*t^7.37 + t^7.5/g1^24 + 3*g1^11*t^7.56 + (2*t^7.69)/g1^15 + 4*g1^20*t^7.75 + (6*t^7.88)/g1^6 + 2*g1^29*t^7.94 + t^8./g1^32 - 3*g1^3*t^8.06 + 11*g1^12*t^8.25 + (5*t^8.38)/g1^14 + 3*g1^21*t^8.44 + t^8.5/g1^40 - (5*t^8.56)/g1^5 + 2*g1^30*t^8.62 + t^8.69/g1^31 + 10*g1^4*t^8.75 + g1^39*t^8.81 + (6*t^8.88)/g1^22 - (g1^2*t^4.37)/y - (2*g1^5*t^6.44)/y - t^6.94/(g1^3*y) + (g1^6*t^7.12)/y - (g1^15*t^7.31)/y + t^7.44/(g1^11*y) + (4*t^7.63)/(g1^2*y) + (3*g1^7*t^7.81)/y + (2*g1^16*t^8.)/y + t^8.13/(g1^10*y) + (6*t^8.31)/(g1*y) - (g1^8*t^8.5)/y + (3*g1^17*t^8.69)/y + (4*t^8.81)/(g1^9*y) - g1^2*t^4.37*y - 2*g1^5*t^6.44*y - (t^6.94*y)/g1^3 + g1^6*t^7.12*y - g1^15*t^7.31*y + (t^7.44*y)/g1^11 + (4*t^7.63*y)/g1^2 + 3*g1^7*t^7.81*y + 2*g1^16*t^8.*y + (t^8.13*y)/g1^10 + (6*t^8.31*y)/g1 - g1^8*t^8.5*y + 3*g1^17*t^8.69*y + (4*t^8.81*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
4198 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1q_2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7131 | 0.9153 | 0.779 | [X:[], M:[1.005, 1.0754, 1.1558, 0.8442, 0.6935, 0.8442, 0.6935, 0.7639], q:[0.7688, 0.5377], qb:[0.4573, 0.3869], phi:[0.4623]] | 2*t^2.08 + t^2.29 + 2*t^2.53 + t^2.77 + t^3.01 + t^3.23 + t^3.68 + t^4.13 + 4*t^4.16 + 3*t^4.37 + t^4.58 + 5*t^4.61 + 2*t^4.82 + 2*t^4.85 + 4*t^5.07 + 2*t^5.1 + 5*t^5.31 + t^5.52 + 2*t^5.55 + 3*t^5.76 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*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 |
---|---|---|---|---|---|---|---|---|---|
1138 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ | 0.6746 | 0.8426 | 0.8006 | [X:[], M:[0.9803, 1.083, 1.1463, 0.8537, 0.6878, 0.8537], q:[0.7707, 0.5415], qb:[0.4782, 0.3755], phi:[0.4585]] | t^2.06 + 2*t^2.56 + t^2.75 + t^2.94 + t^3.25 + t^3.63 + t^3.75 + t^3.94 + 2*t^4.13 + t^4.24 + t^4.43 + 3*t^4.62 + t^4.81 + t^5. + 3*t^5.12 + 3*t^5.31 + 2*t^5.5 + t^5.69 + 2*t^5.81 + t^5.88 - t^6. - t^4.38/y - t^4.38*y | detail |