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 |
---|---|---|---|---|---|---|---|---|---|
2040 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6079 | 0.7795 | 0.7799 | [X:[], M:[0.9787, 1.0638, 0.9787, 0.7447, 1.2553, 0.7872], q:[0.7447, 0.2766], qb:[0.4681, 0.4681], phi:[0.5106]] | [X:[], M:[[4], [-12], [4], [1], [-1], [-7]], 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_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_5$, $ \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$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_1q_2\tilde{q}_2^2$ | $M_5q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.23 + t^2.36 + 2*t^2.94 + 2*t^3.19 + t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^4.6 + t^4.72 + 4*t^5.17 + 2*t^5.3 + 2*t^5.43 + 2*t^5.55 + 4*t^5.87 - t^6. + 4*t^6.13 + 3*t^6.38 + 4*t^6.57 + 7*t^6.7 + t^6.83 + 4*t^6.96 + t^7.09 + 4*t^7.28 + 3*t^7.4 + 5*t^7.53 + 4*t^7.66 + 2*t^7.79 + 2*t^7.91 + t^7.98 + 7*t^8.11 - 2*t^8.23 - t^8.36 + 4*t^8.49 + 2*t^8.62 + 5*t^8.68 + 3*t^8.74 + 7*t^8.81 - 2*t^8.94 - t^4.53/y - t^6.89/y + t^7.34/y + (3*t^7.6)/y - t^7.72/y + (5*t^8.17)/y + (2*t^8.3)/y + (4*t^8.43)/y + (2*t^8.55)/y + (3*t^8.87)/y - t^4.53*y - t^6.89*y + t^7.34*y + 3*t^7.6*y - t^7.72*y + 5*t^8.17*y + 2*t^8.3*y + 4*t^8.43*y + 2*t^8.55*y + 3*t^8.87*y | 2*g1*t^2.23 + t^2.36/g1^7 + 2*g1^4*t^2.94 + (2*t^3.19)/g1^12 + g1^7*t^3.64 + (2*t^3.77)/g1 + 3*g1^10*t^4.34 + 3*g1^2*t^4.47 + (2*t^4.6)/g1^6 + t^4.72/g1^14 + 4*g1^5*t^5.17 + (2*t^5.3)/g1^3 + (2*t^5.43)/g1^11 + (2*t^5.55)/g1^19 + 4*g1^8*t^5.87 - t^6. + (4*t^6.13)/g1^8 + (3*t^6.38)/g1^24 + 4*g1^11*t^6.57 + 7*g1^3*t^6.7 + t^6.83/g1^5 + (4*t^6.96)/g1^13 + t^7.09/g1^21 + 4*g1^14*t^7.28 + 3*g1^6*t^7.4 + (5*t^7.53)/g1^2 + (4*t^7.66)/g1^10 + (2*t^7.79)/g1^18 + (2*t^7.91)/g1^26 + g1^17*t^7.98 + 7*g1^9*t^8.11 - 2*g1*t^8.23 - t^8.36/g1^7 + (4*t^8.49)/g1^15 + (2*t^8.62)/g1^23 + 5*g1^20*t^8.68 + (3*t^8.74)/g1^31 + 7*g1^12*t^8.81 - 2*g1^4*t^8.94 - t^4.53/(g1^2*y) - t^6.89/(g1^9*y) + (g1^10*t^7.34)/y + (3*t^7.6)/(g1^6*y) - t^7.72/(g1^14*y) + (5*g1^5*t^8.17)/y + (2*t^8.3)/(g1^3*y) + (4*t^8.43)/(g1^11*y) + (2*t^8.55)/(g1^19*y) + (3*g1^8*t^8.87)/y - (t^4.53*y)/g1^2 - (t^6.89*y)/g1^9 + g1^10*t^7.34*y + (3*t^7.6*y)/g1^6 - (t^7.72*y)/g1^14 + 5*g1^5*t^8.17*y + (2*t^8.3*y)/g1^3 + (4*t^8.43*y)/g1^11 + (2*t^8.55*y)/g1^19 + 3*g1^8*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
3110 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6018 | 0.7729 | 0.7787 | [X:[], M:[0.9474, 1.1579, 0.9474, 0.7368, 1.2632, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.21 + t^2.53 + 2*t^2.84 + 3*t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 2*t^4.74 + 5*t^5.05 + 2*t^5.37 + 6*t^5.68 + t^6. - t^4.58/y - t^4.58*y | detail | {a: 4128/6859, c: 21205/27436, M1: 18/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 24/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
3111 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6255 | 0.8112 | 0.7711 | [X:[], M:[0.9857, 1.043, 0.9857, 0.7464, 1.2536, 0.7751, 0.7751], q:[0.7464, 0.2679], qb:[0.4785, 0.4785], phi:[0.5072]] | 2*t^2.24 + 2*t^2.33 + 2*t^2.96 + 2*t^3.13 + 2*t^3.76 + 3*t^4.39 + 3*t^4.48 + 4*t^4.56 + 3*t^4.65 + 4*t^5.2 + 4*t^5.28 + 2*t^5.37 + 4*t^5.45 + 2*t^5.91 - 2*t^6. - t^4.52/y - t^4.52*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 |
---|---|---|---|---|---|---|---|---|---|
859 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ | 0.5911 | 0.7501 | 0.788 | [X:[], M:[0.9703, 1.0891, 0.9703, 0.7426, 1.2574], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | 2*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + 2*t^3.77 + 3*t^4.28 + 3*t^4.46 + 4*t^5.14 + 2*t^5.49 + 6*t^5.82 - 2*t^6. - t^4.54/y - t^4.54*y | detail |