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 |
---|---|---|---|---|---|---|---|---|---|
1343 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ | 0.5939 | 0.7557 | 0.7859 | [X:[], M:[0.9644, 1.1068, 1.0356, 0.8932, 0.7411, 1.2589], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] | [X:[], M:[[4], [-12], [-4], [12], [1], [-1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ q_1q_2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.22 + t^2.68 + 2*t^3.11 + t^3.32 + 2*t^3.56 + 2*t^3.78 + 3*t^4.23 + 3*t^4.45 + 2*t^4.9 + 4*t^5.33 + t^5.36 + 5*t^5.79 - t^6. + t^6.21 + 2*t^6.24 + 2*t^6.43 + 4*t^6.46 + t^6.64 + 4*t^6.67 + 2*t^6.88 + 3*t^6.91 + 3*t^7.13 + 5*t^7.34 + 4*t^7.55 + 2*t^7.58 - t^7.77 + 4*t^7.8 + 8*t^8.01 + t^8.04 - 6*t^8.22 + 2*t^8.44 + 10*t^8.47 + 5*t^8.89 + 2*t^8.92 - t^4.55/y + (2*t^7.45)/y - t^7.66/y + (2*t^7.9)/y + (4*t^8.33)/y + (2*t^8.54)/y + (6*t^8.79)/y - t^4.55*y + 2*t^7.45*y - t^7.66*y + 2*t^7.9*y + 4*t^8.33*y + 2*t^8.54*y + 6*t^8.79*y | 2*g1*t^2.22 + g1^12*t^2.68 + (2*t^3.11)/g1^4 + t^3.32/g1^12 + 2*g1^7*t^3.56 + (2*t^3.78)/g1 + 3*g1^10*t^4.23 + 3*g1^2*t^4.45 + 2*g1^13*t^4.9 + (4*t^5.33)/g1^3 + g1^24*t^5.36 + 5*g1^8*t^5.79 - t^6. + t^6.21/g1^8 + 2*g1^19*t^6.24 + (2*t^6.43)/g1^16 + 4*g1^11*t^6.46 + t^6.64/g1^24 + 4*g1^3*t^6.67 + (2*t^6.88)/g1^5 + 3*g1^22*t^6.91 + 3*g1^14*t^7.13 + 5*g1^6*t^7.34 + (4*t^7.55)/g1^2 + 2*g1^25*t^7.58 - t^7.77/g1^10 + 4*g1^17*t^7.8 + 8*g1^9*t^8.01 + g1^36*t^8.04 - 6*g1*t^8.22 + (2*t^8.44)/g1^7 + 10*g1^20*t^8.47 + 5*g1^4*t^8.89 + 2*g1^31*t^8.92 - t^4.55/(g1^2*y) + (2*g1^2*t^7.45)/y - t^7.66/(g1^6*y) + (2*g1^13*t^7.9)/y + (4*t^8.33)/(g1^3*y) + (2*t^8.54)/(g1^11*y) + (6*g1^8*t^8.79)/y - (t^4.55*y)/g1^2 + 2*g1^2*t^7.45*y - (t^7.66*y)/g1^6 + 2*g1^13*t^7.9*y + (4*t^8.33*y)/g1^3 + (2*t^8.54*y)/g1^11 + 6*g1^8*t^8.79*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 |
---|---|---|---|---|---|---|---|---|
2428 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6101 | 0.7833 | 0.7789 | [X:[], M:[0.9726, 1.0823, 1.0274, 0.9177, 0.7431, 1.2569, 0.798], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]] | 2*t^2.23 + t^2.39 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.61 + 2*t^3.77 + 3*t^4.29 + 3*t^4.46 + 2*t^4.62 + t^4.79 + 2*t^4.98 + t^5.15 + 4*t^5.31 + 2*t^5.48 + t^5.51 + t^5.64 + 3*t^5.84 - t^4.54/y - t^4.54*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 |
---|---|---|---|---|---|---|---|---|---|
848 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6133 | 0.7914 | 0.7749 | [X:[], M:[0.9637, 1.1089, 1.0363, 0.8911, 0.7409], q:[0.7409, 0.2954], qb:[0.4455, 0.4455], phi:[0.5182]] | 3*t^2.22 + t^2.67 + 2*t^3.11 + t^3.33 + 2*t^3.56 + t^3.78 + 3*t^4.23 + 6*t^4.45 + 3*t^4.9 + 6*t^5.33 + t^5.35 + t^5.55 + 7*t^5.78 - 2*t^6. - t^4.55/y - t^4.55*y | detail |