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 |
---|---|---|---|---|---|---|---|---|---|
93 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6484 | 0.7957 | 0.8149 | [X:[], M:[0.6984, 0.7032], q:[0.8242, 0.8242], qb:[0.4774, 0.4679], phi:[0.3516]] | [X:[], M:[[-7, -1], [-4, -4]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2^2$, $ M_2\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$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$, $ M_2q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$ | $M_1q_2\tilde{q}_1$ | -2 | t^2.1 + 2*t^2.11 + t^2.84 + t^3.86 + 2*t^3.88 + t^3.9 + t^3.92 + t^4.19 + 2*t^4.2 + 3*t^4.22 + t^4.93 + 3*t^4.95 + t^5.67 + t^5.96 + 3*t^5.97 + 2*t^5.99 - 2*t^6. + t^6.01 + t^6.03 + t^6.29 + 2*t^6.3 + 3*t^6.31 + 4*t^6.33 + t^6.7 + 2*t^6.71 + t^6.74 + t^6.75 + t^7.04 + 3*t^7.05 - 2*t^7.07 - t^7.08 + t^7.72 + 2*t^7.74 + 2*t^7.75 + 3*t^7.78 + t^7.82 + t^7.84 + t^8.05 + 3*t^8.07 + 3*t^8.08 - 4*t^8.11 + t^8.14 + t^8.38 + 2*t^8.39 + 3*t^8.41 + 4*t^8.42 + 5*t^8.44 + t^8.51 + t^8.79 + 3*t^8.81 + 2*t^8.82 - 4*t^8.84 + t^8.86 - t^4.05/y - t^6.15/y - (2*t^6.16)/y + (2*t^7.2)/y + t^7.22/y + t^7.93/y + (4*t^7.95)/y + t^7.96/y - t^8.25/y - (2*t^8.26)/y - (3*t^8.27)/y + t^8.96/y + (4*t^8.97)/y + (4*t^8.99)/y - t^4.05*y - t^6.15*y - 2*t^6.16*y + 2*t^7.2*y + t^7.22*y + t^7.93*y + 4*t^7.95*y + t^7.96*y - t^8.25*y - 2*t^8.26*y - 3*t^8.27*y + t^8.96*y + 4*t^8.97*y + 4*t^8.99*y | t^2.1/(g1^7*g2) + (2*t^2.11)/(g1^4*g2^4) + g1^6*g2^6*t^2.84 + (g2^10*t^3.86)/g1^2 + 2*g1*g2^7*t^3.88 + g1^7*g2*t^3.9 + (g1^10*t^3.92)/g2^2 + t^4.19/(g1^14*g2^2) + (2*t^4.2)/(g1^11*g2^5) + (3*t^4.22)/(g1^8*g2^8) + (g2^5*t^4.93)/g1 + 3*g1^2*g2^2*t^4.95 + g1^12*g2^12*t^5.67 + (g2^9*t^5.96)/g1^9 + (3*g2^6*t^5.97)/g1^6 + (2*g2^3*t^5.99)/g1^3 - 2*t^6. + (g1^3*t^6.01)/g2^3 + (g1^6*t^6.03)/g2^6 + t^6.29/(g1^21*g2^3) + (2*t^6.3)/(g1^18*g2^6) + (3*t^6.31)/(g1^15*g2^9) + (4*t^6.33)/(g1^12*g2^12) + g1^4*g2^16*t^6.7 + 2*g1^7*g2^13*t^6.71 + g1^13*g2^7*t^6.74 + g1^16*g2^4*t^6.75 + (g2*t^7.04)/g1^5 + (3*t^7.05)/(g1^2*g2^2) - (2*g1*t^7.07)/g2^5 - (g1^4*t^7.08)/g2^8 + (g2^20*t^7.72)/g1^4 + (2*g2^17*t^7.74)/g1 + 2*g1^2*g2^14*t^7.75 + 3*g1^8*g2^8*t^7.78 + (g1^17*t^7.82)/g2 + (g1^20*t^7.84)/g2^4 + (g2^8*t^8.05)/g1^16 + (3*g2^5*t^8.07)/g1^13 + (3*g2^2*t^8.08)/g1^10 - (4*t^8.11)/(g1^4*g2^4) + (g1^2*t^8.14)/g2^10 + t^8.38/(g1^28*g2^4) + (2*t^8.39)/(g1^25*g2^7) + (3*t^8.41)/(g1^22*g2^10) + (4*t^8.42)/(g1^19*g2^13) + (5*t^8.44)/(g1^16*g2^16) + g1^18*g2^18*t^8.51 + (g2^15*t^8.79)/g1^3 + 3*g2^12*t^8.81 + 2*g1^3*g2^9*t^8.82 - 4*g1^6*g2^6*t^8.84 + g1^12*t^8.86 - t^4.05/(g1^2*g2^2*y) - t^6.15/(g1^9*g2^3*y) - (2*t^6.16)/(g1^6*g2^6*y) + (2*t^7.2)/(g1^11*g2^5*y) + t^7.22/(g1^8*g2^8*y) + (g2^5*t^7.93)/(g1*y) + (4*g1^2*g2^2*t^7.95)/y + (g1^5*t^7.96)/(g2*y) - t^8.25/(g1^16*g2^4*y) - (2*t^8.26)/(g1^13*g2^7*y) - (3*t^8.27)/(g1^10*g2^10*y) + (g2^9*t^8.96)/(g1^9*y) + (4*g2^6*t^8.97)/(g1^6*y) + (4*g2^3*t^8.99)/(g1^3*y) - (t^4.05*y)/(g1^2*g2^2) - (t^6.15*y)/(g1^9*g2^3) - (2*t^6.16*y)/(g1^6*g2^6) + (2*t^7.2*y)/(g1^11*g2^5) + (t^7.22*y)/(g1^8*g2^8) + (g2^5*t^7.93*y)/g1 + 4*g1^2*g2^2*t^7.95*y + (g1^5*t^7.96*y)/g2 - (t^8.25*y)/(g1^16*g2^4) - (2*t^8.26*y)/(g1^13*g2^7) - (3*t^8.27*y)/(g1^10*g2^10) + (g2^9*t^8.96*y)/g1^9 + (4*g2^6*t^8.97*y)/g1^6 + (4*g2^3*t^8.99*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
1709 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ | 0.669 | 0.8356 | 0.8006 | [X:[], M:[0.6922, 0.7, 0.6922], q:[0.825, 0.825], qb:[0.4828, 0.4672], phi:[0.35]] | 2*t^2.08 + 2*t^2.1 + t^2.85 + t^3.85 + 2*t^3.88 + t^3.95 + 3*t^4.15 + 4*t^4.18 + 3*t^4.2 + 2*t^4.93 + 3*t^4.95 + t^5.7 + 2*t^5.93 + 5*t^5.95 + 2*t^5.98 - 3*t^6. - t^4.05/y - t^4.05*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 |
---|---|---|---|---|---|---|---|---|---|
60 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ | 0.628 | 0.7573 | 0.8293 | [X:[], M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | t^2.11 + t^2.13 + t^2.81 + t^3.84 + 2*t^3.86 + t^3.87 + t^3.89 + t^3.91 + t^4.22 + t^4.24 + t^4.25 + t^4.92 + 2*t^4.94 + t^5.62 + t^5.95 + 2*t^5.97 + t^5.98 - t^6. - t^4.06/y - t^4.06*y | detail |