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 |
---|---|---|---|---|---|---|---|---|---|
1807 | 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$ + $ q_1q_2\tilde{q}_1^2$ | 0.5921 | 0.7527 | 0.7867 | [X:[], M:[0.9726, 1.0823, 1.0274, 0.9177], q:[0.7431, 0.2843], qb:[0.4863, 0.4314], phi:[0.5137]] | [X:[], M:[[4], [-12], [-4], [12]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4^2$, $ q_1q_2\tilde{q}_2^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.15 + t^2.31 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.52 + 2*t^3.69 + t^3.85 + t^4.13 + 2*t^4.29 + 2*t^4.46 + t^4.62 + t^4.9 + t^5.06 + 2*t^5.23 + 2*t^5.39 + t^5.51 + t^5.67 + 3*t^5.84 + t^6.16 + 2*t^6.28 + 2*t^6.33 + 3*t^6.44 + t^6.49 + 2*t^6.61 + 3*t^6.77 + t^6.88 + 2*t^6.94 + 2*t^7.05 + 4*t^7.21 + 4*t^7.38 + 2*t^7.54 + 2*t^7.65 + t^7.71 + 4*t^7.82 + 3*t^7.98 + 2*t^8.26 + 3*t^8.42 + t^8.48 + 5*t^8.59 + t^8.75 + t^8.92 - t^4.54/y + (2*t^7.46)/y - t^7.62/y + t^7.9/y + t^8.06/y + (2*t^8.23)/y + (3*t^8.39)/y + t^8.56/y + t^8.67/y + (5*t^8.84)/y - t^4.54*y + 2*t^7.46*y - t^7.62*y + t^7.9*y + t^8.06*y + 2*t^8.23*y + 3*t^8.39*y + t^8.56*y + t^8.67*y + 5*t^8.84*y | g1^5*t^2.15 + t^2.31/g1^3 + g1^12*t^2.75 + (2*t^3.08)/g1^4 + t^3.25/g1^12 + g1^11*t^3.52 + 2*g1^3*t^3.69 + t^3.85/g1^5 + g1^18*t^4.13 + 2*g1^10*t^4.29 + 2*g1^2*t^4.46 + t^4.62/g1^6 + g1^17*t^4.9 + g1^9*t^5.06 + 2*g1*t^5.23 + (2*t^5.39)/g1^7 + g1^24*t^5.51 + g1^16*t^5.67 + 3*g1^8*t^5.84 + t^6.16/g1^8 + 2*g1^23*t^6.28 + (2*t^6.33)/g1^16 + 3*g1^15*t^6.44 + t^6.49/g1^24 + 2*g1^7*t^6.61 + (3*t^6.77)/g1 + g1^30*t^6.88 + (2*t^6.94)/g1^9 + 2*g1^22*t^7.05 + 4*g1^14*t^7.21 + 4*g1^6*t^7.38 + (2*t^7.54)/g1^2 + 2*g1^29*t^7.65 + t^7.71/g1^10 + 4*g1^21*t^7.82 + 3*g1^13*t^7.98 + 2*g1^36*t^8.26 + 3*g1^28*t^8.42 + t^8.48/g1^11 + 5*g1^20*t^8.59 + g1^12*t^8.75 + g1^4*t^8.92 - t^4.54/(g1^2*y) + (2*g1^2*t^7.46)/y - t^7.62/(g1^6*y) + (g1^17*t^7.9)/y + (g1^9*t^8.06)/y + (2*g1*t^8.23)/y + (3*t^8.39)/(g1^7*y) + t^8.56/(g1^15*y) + (g1^16*t^8.67)/y + (5*g1^8*t^8.84)/y - (t^4.54*y)/g1^2 + 2*g1^2*t^7.46*y - (t^7.62*y)/g1^6 + g1^17*t^7.9*y + g1^9*t^8.06*y + 2*g1*t^8.23*y + (3*t^8.39*y)/g1^7 + (t^8.56*y)/g1^15 + g1^16*t^8.67*y + 5*g1^8*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
2821 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.6079 | 0.7795 | 0.7799 | [X:[], M:[0.9824, 1.0528, 1.0176, 0.9472, 0.7984], q:[0.7456, 0.272], qb:[0.4912, 0.456], phi:[0.5088]] | t^2.18 + t^2.29 + t^2.4 + t^2.84 + 2*t^3.05 + t^3.16 + 2*t^3.71 + t^3.82 + t^4.26 + 2*t^4.37 + 2*t^4.47 + 2*t^4.58 + t^4.68 + t^4.79 + t^5.03 + t^5.13 + 3*t^5.24 + 2*t^5.34 + 2*t^5.45 + t^5.55 + t^5.68 + 2*t^5.89 - t^4.53/y - t^4.53*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 |
---|---|---|---|---|---|---|---|---|---|
343 | 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$ | 0.5939 | 0.7557 | 0.7859 | [X:[], M:[0.9644, 1.1068, 1.0356, 0.8932], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] | 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^4.55/y - t^4.55*y | detail |