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 |
---|---|---|---|---|---|---|---|---|---|
1184 | 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_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ | 0.6891 | 0.8573 | 0.8038 | [X:[], M:[1.0587, 1.103, 0.9779, 0.7353, 0.7353, 0.9413], q:[0.7757, 0.4081], qb:[0.5332, 0.4889], phi:[0.4485]] | [X:[], M:[[32], [-12], [22], [-8], [-8], [-32]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_3$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_4M_6$, $ M_5M_6$, $ M_3M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_6^2$, $ M_3M_6$, $ M_4q_1q_2$, $ M_5q_1q_2$ | . | -2 | 2*t^2.21 + t^2.69 + t^2.82 + t^2.93 + t^3.31 + t^3.55 + t^3.93 + t^4.04 + t^4.17 + t^4.28 + 4*t^4.41 + t^4.54 + 2*t^4.9 + 2*t^5.03 + 2*t^5.14 + t^5.38 + 3*t^5.51 + t^5.65 + 2*t^5.76 - 2*t^6. + 2*t^6.13 + 2*t^6.24 + 2*t^6.38 + 2*t^6.49 + 6*t^6.62 + 3*t^6.75 + 2*t^6.86 + t^6.97 + t^6.99 + 3*t^7.1 + 5*t^7.24 + 2*t^7.35 + t^7.37 + t^7.48 + t^7.59 + 4*t^7.72 + 3*t^7.85 + 3*t^7.96 + t^8.07 + t^8.1 - 4*t^8.21 + t^8.32 + 4*t^8.34 + 2*t^8.45 + 2*t^8.47 + 3*t^8.58 + t^8.69 + t^8.71 + t^8.8 + 6*t^8.82 - 3*t^8.93 + 6*t^8.96 - t^4.35/y - (2*t^6.55)/y - t^7.28/y + (2*t^7.41)/y + (2*t^7.9)/y + (2*t^8.03)/y + (4*t^8.14)/y + (3*t^8.51)/y + t^8.62/y - t^4.35*y - 2*t^6.55*y - t^7.28*y + 2*t^7.41*y + 2*t^7.9*y + 2*t^8.03*y + 4*t^8.14*y + 3*t^8.51*y + t^8.62*y | (2*t^2.21)/g1^8 + g1^12*t^2.69 + t^2.82/g1^32 + g1^22*t^2.93 + t^3.31/g1^12 + t^3.55/g1^2 + t^3.93/g1^36 + g1^18*t^4.04 + t^4.17/g1^26 + g1^28*t^4.28 + (4*t^4.41)/g1^16 + t^4.54/g1^60 + 2*g1^4*t^4.9 + (2*t^5.03)/g1^40 + 2*g1^14*t^5.14 + g1^24*t^5.38 + (3*t^5.51)/g1^20 + t^5.65/g1^64 + (2*t^5.76)/g1^10 - 2*t^6. + (2*t^6.13)/g1^44 + 2*g1^10*t^6.24 + (2*t^6.38)/g1^34 + 2*g1^20*t^6.49 + (6*t^6.62)/g1^24 + (3*t^6.75)/g1^68 + (2*t^6.86)/g1^14 + g1^40*t^6.97 + t^6.99/g1^58 + (3*t^7.1)/g1^4 + (5*t^7.24)/g1^48 + 2*g1^6*t^7.35 + t^7.37/g1^92 + t^7.48/g1^38 + g1^16*t^7.59 + (4*t^7.72)/g1^28 + (3*t^7.85)/g1^72 + (3*t^7.96)/g1^18 + g1^36*t^8.07 + t^8.1/g1^62 - (4*t^8.21)/g1^8 + g1^46*t^8.32 + (4*t^8.34)/g1^52 + 2*g1^2*t^8.45 + (2*t^8.47)/g1^96 + (3*t^8.58)/g1^42 + g1^12*t^8.69 + t^8.71/g1^86 + g1^66*t^8.8 + (6*t^8.82)/g1^32 - 3*g1^22*t^8.93 + (6*t^8.96)/g1^76 - (g1^6*t^4.35)/y - (2*t^6.55)/(g1^2*y) - (g1^28*t^7.28)/y + (2*t^7.41)/(g1^16*y) + (2*g1^4*t^7.9)/y + (2*t^8.03)/(g1^40*y) + (4*g1^14*t^8.14)/y + (3*t^8.51)/(g1^20*y) + (g1^34*t^8.62)/y - g1^6*t^4.35*y - (2*t^6.55*y)/g1^2 - g1^28*t^7.28*y + (2*t^7.41*y)/g1^16 + 2*g1^4*t^7.9*y + (2*t^8.03*y)/g1^40 + 4*g1^14*t^8.14*y + (3*t^8.51*y)/g1^20 + g1^34*t^8.62*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 |
---|---|---|---|---|---|---|---|---|
2238 | $\phi_1q_1^2$ + $ 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_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_1$ | 0.7098 | 0.8973 | 0.791 | [X:[], M:[1.0532, 1.105, 0.9741, 0.7367, 0.7367, 0.9468, 0.6849], q:[0.7763, 0.4079], qb:[0.5389, 0.487], phi:[0.4475]] | t^2.05 + 2*t^2.21 + t^2.68 + t^2.84 + t^2.92 + t^3.32 + t^3.55 + t^4.03 + t^4.11 + t^4.18 + 3*t^4.26 + 4*t^4.42 + t^4.58 + t^4.74 + 3*t^4.89 + t^4.98 + 2*t^5.05 + 2*t^5.13 + 2*t^5.37 + 3*t^5.53 + t^5.61 + t^5.68 + 2*t^5.76 - 2*t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
718 | 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_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6858 | 0.8499 | 0.8069 | [X:[], M:[1.011, 1.1209, 0.945, 0.7473, 0.7473], q:[0.7802, 0.4066], qb:[0.5825, 0.4725], phi:[0.4396]] | 2*t^2.24 + t^2.64 + t^2.84 + t^3.03 + t^3.36 + t^3.56 + t^3.96 + t^4.09 + t^4.15 + t^4.29 + 4*t^4.48 + t^4.81 + 2*t^4.88 + 2*t^5.08 + 3*t^5.27 + 2*t^5.6 + t^5.67 + t^5.8 + t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail |