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 |
---|---|---|---|---|---|---|---|---|---|
45899 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ | 0.6692 | 0.8369 | 0.7996 | [X:[], M:[0.7022, 0.6851, 0.6851], q:[0.8074, 0.8415], qb:[0.4734, 0.4734], phi:[0.3511]] | [X:[], M:[[0, -2, -2], [-1, -3, 0], [-1, 0, -3]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_3^2$, $ M_2M_3$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_1q_1\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1q_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_2^2$ | -1 | 2*t^2.06 + 2*t^2.11 + t^2.84 + 2*t^3.84 + 2*t^3.89 + 3*t^4.11 + 4*t^4.16 + 3*t^4.21 + 2*t^4.9 + 3*t^4.95 + t^5.68 + 4*t^5.9 + 6*t^5.95 - t^6. - 2*t^6.05 + 4*t^6.17 + 6*t^6.22 + 6*t^6.27 + 4*t^6.32 + 2*t^6.68 + 2*t^6.73 + 3*t^6.95 + 4*t^7. + t^7.05 - 2*t^7.1 + 3*t^7.68 + 4*t^7.74 + t^7.79 - 2*t^7.84 + 6*t^7.95 + 10*t^8. - 7*t^8.11 - 4*t^8.16 + 5*t^8.22 + 8*t^8.27 + 9*t^8.32 + 8*t^8.37 + 5*t^8.43 + t^8.52 + 4*t^8.74 + 6*t^8.79 - 3*t^8.84 - 4*t^8.89 - t^4.05/y - (2*t^6.11)/y - (2*t^6.16)/y + t^7.11/y + (4*t^7.16)/y + t^7.21/y + (2*t^7.9)/y + (4*t^7.95)/y + (2*t^8.)/y - (3*t^8.16)/y - (4*t^8.22)/y - (3*t^8.27)/y + (4*t^8.9)/y + (8*t^8.95)/y - t^4.05*y - 2*t^6.11*y - 2*t^6.16*y + t^7.11*y + 4*t^7.16*y + t^7.21*y + 2*t^7.9*y + 4*t^7.95*y + 2*t^8.*y - 3*t^8.16*y - 4*t^8.22*y - 3*t^8.27*y + 4*t^8.9*y + 8*t^8.95*y | t^2.06/(g1*g2^3) + t^2.06/(g1*g3^3) + (2*t^2.11)/(g2^2*g3^2) + g2^3*g3^3*t^2.84 + (g2^4*g3*t^3.84)/g1 + (g2*g3^4*t^3.84)/g1 + (g2^5*t^3.89)/g3 + (g3^5*t^3.89)/g2 + t^4.11/(g1^2*g2^6) + t^4.11/(g1^2*g3^6) + t^4.11/(g1^2*g2^3*g3^3) + (2*t^4.16)/(g1*g2^2*g3^5) + (2*t^4.16)/(g1*g2^5*g3^2) + (3*t^4.21)/(g2^4*g3^4) + (g2^3*t^4.9)/g1 + (g3^3*t^4.9)/g1 + 3*g2*g3*t^4.95 + g2^6*g3^6*t^5.68 + (g2^4*t^5.9)/(g1^2*g3^2) + (2*g2*g3*t^5.9)/g1^2 + (g3^4*t^5.9)/(g1^2*g2^2) + (g2^5*t^5.95)/(g1*g3^4) + (2*g2^2*t^5.95)/(g1*g3) + (2*g3^2*t^5.95)/(g1*g2) + (g3^5*t^5.95)/(g1*g2^4) - 3*t^6. + (g2^3*t^6.)/g3^3 + (g3^3*t^6.)/g2^3 - (g1*g2*t^6.05)/g3^2 - (g1*g3*t^6.05)/g2^2 + t^6.17/(g1^3*g2^9) + t^6.17/(g1^3*g3^9) + t^6.17/(g1^3*g2^3*g3^6) + t^6.17/(g1^3*g2^6*g3^3) + (2*t^6.22)/(g1^2*g2^2*g3^8) + (2*t^6.22)/(g1^2*g2^5*g3^5) + (2*t^6.22)/(g1^2*g2^8*g3^2) + (3*t^6.27)/(g1*g2^4*g3^7) + (3*t^6.27)/(g1*g2^7*g3^4) + (4*t^6.32)/(g2^6*g3^6) + (g2^7*g3^4*t^6.68)/g1 + (g2^4*g3^7*t^6.68)/g1 + g2^8*g3^2*t^6.73 + g2^2*g3^8*t^6.73 + t^6.95/g1^2 + (g2^3*t^6.95)/(g1^2*g3^3) + (g3^3*t^6.95)/(g1^2*g2^3) + (2*g2*t^7.)/(g1*g3^2) + (2*g3*t^7.)/(g1*g2^2) - (g2^2*t^7.05)/g3^4 + (3*t^7.05)/(g2*g3) - (g3^2*t^7.05)/g2^4 - (g1*t^7.1)/g2^3 - (g1*t^7.1)/g3^3 + (g2^8*g3^2*t^7.68)/g1^2 + (g2^5*g3^5*t^7.68)/g1^2 + (g2^2*g3^8*t^7.68)/g1^2 + (g2^9*t^7.74)/g1 + (g2^6*g3^3*t^7.74)/g1 + (g2^3*g3^6*t^7.74)/g1 + (g3^9*t^7.74)/g1 + (g2^10*t^7.79)/g3^2 - g2^7*g3*t^7.79 + g2^4*g3^4*t^7.79 - g2*g3^7*t^7.79 + (g3^10*t^7.79)/g2^2 - g1*g2^5*g3^2*t^7.84 - g1*g2^2*g3^5*t^7.84 + (g2^4*t^7.95)/(g1^3*g3^5) + (2*g2*t^7.95)/(g1^3*g3^2) + (2*g3*t^7.95)/(g1^3*g2^2) + (g3^4*t^7.95)/(g1^3*g2^5) + (g2^5*t^8.)/(g1^2*g3^7) + (2*g2^2*t^8.)/(g1^2*g3^4) + (4*t^8.)/(g1^2*g2*g3) + (2*g3^2*t^8.)/(g1^2*g2^4) + (g3^5*t^8.)/(g1^2*g2^7) - t^8.06/(g1*g2^3) + (g2^3*t^8.06)/(g1*g3^6) - t^8.06/(g1*g3^3) + (g3^3*t^8.06)/(g1*g2^6) - (7*t^8.11)/(g2^2*g3^2) - (2*g1*t^8.16)/(g2*g3^4) - (2*g1*t^8.16)/(g2^4*g3) + t^8.22/(g1^4*g2^12) + t^8.22/(g1^4*g3^12) + t^8.22/(g1^4*g2^3*g3^9) + t^8.22/(g1^4*g2^6*g3^6) + t^8.22/(g1^4*g2^9*g3^3) + (2*t^8.27)/(g1^3*g2^2*g3^11) + (2*t^8.27)/(g1^3*g2^5*g3^8) + (2*t^8.27)/(g1^3*g2^8*g3^5) + (2*t^8.27)/(g1^3*g2^11*g3^2) + (3*t^8.32)/(g1^2*g2^4*g3^10) + (3*t^8.32)/(g1^2*g2^7*g3^7) + (3*t^8.32)/(g1^2*g2^10*g3^4) + (4*t^8.37)/(g1*g2^6*g3^9) + (4*t^8.37)/(g1*g2^9*g3^6) + (5*t^8.43)/(g2^8*g3^8) + g2^9*g3^9*t^8.52 + (g2^7*g3*t^8.74)/g1^2 + (2*g2^4*g3^4*t^8.74)/g1^2 + (g2*g3^7*t^8.74)/g1^2 + (g2^8*t^8.79)/(g1*g3) + (2*g2^5*g3^2*t^8.79)/g1 + (2*g2^2*g3^5*t^8.79)/g1 + (g3^8*t^8.79)/(g1*g2) + g2^6*t^8.84 - 5*g2^3*g3^3*t^8.84 + g3^6*t^8.84 - 2*g1*g2^4*g3*t^8.89 - 2*g1*g2*g3^4*t^8.89 - t^4.05/(g2*g3*y) - t^6.11/(g1*g2*g3^4*y) - t^6.11/(g1*g2^4*g3*y) - (2*t^6.16)/(g2^3*g3^3*y) + t^7.11/(g1^2*g2^3*g3^3*y) + (2*t^7.16)/(g1*g2^2*g3^5*y) + (2*t^7.16)/(g1*g2^5*g3^2*y) + t^7.21/(g2^4*g3^4*y) + (g2^3*t^7.9)/(g1*y) + (g3^3*t^7.9)/(g1*y) + (4*g2*g3*t^7.95)/y + (g1*g2^2*t^8.)/(g3*y) + (g1*g3^2*t^8.)/(g2*y) - t^8.16/(g1^2*g2*g3^7*y) - t^8.16/(g1^2*g2^4*g3^4*y) - t^8.16/(g1^2*g2^7*g3*y) - (2*t^8.22)/(g1*g2^3*g3^6*y) - (2*t^8.22)/(g1*g2^6*g3^3*y) - (3*t^8.27)/(g2^5*g3^5*y) + (g2^4*t^8.9)/(g1^2*g3^2*y) + (2*g2*g3*t^8.9)/(g1^2*y) + (g3^4*t^8.9)/(g1^2*g2^2*y) + (g2^5*t^8.95)/(g1*g3^4*y) + (3*g2^2*t^8.95)/(g1*g3*y) + (3*g3^2*t^8.95)/(g1*g2*y) + (g3^5*t^8.95)/(g1*g2^4*y) - (t^4.05*y)/(g2*g3) - (t^6.11*y)/(g1*g2*g3^4) - (t^6.11*y)/(g1*g2^4*g3) - (2*t^6.16*y)/(g2^3*g3^3) + (t^7.11*y)/(g1^2*g2^3*g3^3) + (2*t^7.16*y)/(g1*g2^2*g3^5) + (2*t^7.16*y)/(g1*g2^5*g3^2) + (t^7.21*y)/(g2^4*g3^4) + (g2^3*t^7.9*y)/g1 + (g3^3*t^7.9*y)/g1 + 4*g2*g3*t^7.95*y + (g1*g2^2*t^8.*y)/g3 + (g1*g3^2*t^8.*y)/g2 - (t^8.16*y)/(g1^2*g2*g3^7) - (t^8.16*y)/(g1^2*g2^4*g3^4) - (t^8.16*y)/(g1^2*g2^7*g3) - (2*t^8.22*y)/(g1*g2^3*g3^6) - (2*t^8.22*y)/(g1*g2^6*g3^3) - (3*t^8.27*y)/(g2^5*g3^5) + (g2^4*t^8.9*y)/(g1^2*g3^2) + (2*g2*g3*t^8.9*y)/g1^2 + (g3^4*t^8.9*y)/(g1^2*g2^2) + (g2^5*t^8.95*y)/(g1*g3^4) + (3*g2^2*t^8.95*y)/(g1*g3) + (3*g3^2*t^8.95*y)/(g1*g2) + (g3^5*t^8.95*y)/(g1*g2^4) |
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 |
---|---|---|---|---|---|---|---|---|
46002 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ | 0.5873 | 0.7229 | 0.8123 | [X:[], M:[0.7807, 1.0, 1.0], q:[1.0241, 0.5855], qb:[0.4145, 0.4145], phi:[0.3903]] | 2*t^2.34 + t^2.49 + 2*t^3. + 2*t^3.66 + 2*t^4.32 + 3*t^4.68 + 3*t^4.83 + t^4.97 + 2*t^5.34 + 2*t^5.49 + 2*t^6. - t^4.17/y - t^4.17*y | detail | |
45963 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6898 | 0.8768 | 0.7867 | [X:[], M:[0.6991, 0.6887, 0.6783, 0.6887], q:[0.8096, 0.8408], qb:[0.4704, 0.4809], phi:[0.3496]] | t^2.03 + 2*t^2.07 + 2*t^2.1 + t^2.85 + t^3.84 + 2*t^3.87 + t^4.07 + 2*t^4.1 + 5*t^4.13 + 4*t^4.16 + 3*t^4.19 + t^4.89 + 2*t^4.92 + 3*t^4.95 + t^5.71 + t^5.88 + 4*t^5.91 + 5*t^5.94 + 2*t^5.97 - 3*t^6. - t^4.05/y - t^4.05*y | detail | |
45978 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6895 | 0.8749 | 0.7881 | [X:[], M:[0.6959, 0.6857, 0.6931, 0.6986], q:[0.8196, 0.8325], qb:[0.4818, 0.4744], phi:[0.3479]] | t^2.06 + t^2.08 + 2*t^2.09 + t^2.1 + t^2.87 + t^3.88 + t^3.89 + t^3.93 + t^4.11 + 3*t^4.14 + t^4.15 + t^4.16 + 2*t^4.17 + 6*t^4.18 + t^4.19 + t^4.93 + t^4.95 + 4*t^4.96 + t^5.74 + t^5.94 + t^5.95 + t^5.96 + 2*t^5.97 + 2*t^5.98 + t^5.99 - 3*t^6. - t^4.04/y - t^4.04*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 |
---|---|---|---|---|---|---|---|---|---|
45852 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ | 0.6485 | 0.7964 | 0.8143 | [X:[], M:[0.7044, 0.6901], q:[0.8132, 0.8346], qb:[0.4753, 0.4681], phi:[0.3522]] | t^2.07 + 2*t^2.11 + t^2.83 + t^3.84 + 2*t^3.87 + 2*t^3.91 + t^4.14 + 2*t^4.18 + 3*t^4.23 + t^4.9 + 3*t^4.94 + t^5.66 + t^5.91 + 2*t^5.94 + t^5.96 + 4*t^5.98 - 3*t^6. - t^4.06/y - t^4.06*y | detail |