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 |
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52059 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_2^2$ + $ M_3M_6$ | 0.6838 | 0.8483 | 0.8061 | [X:[], M:[0.7364, 1.0167, 1.0879, 0.8076, 1.0879, 0.9121], q:[0.4916, 0.772], qb:[0.4916, 0.4205], phi:[0.4561]] | [X:[], M:[[12], [22], [-4], [-14], [-4], [4]], q:[[-11], [-1]], qb:[[-11], [15]], phi:[[2]]] | 1 | {a: 144062/210681, c: 357433/421362, M1: 338/459, M2: 1400/1377, M3: 1498/1377, M4: 1112/1377, M5: 1498/1377, M6: 1256/1377, q1: 677/1377, q2: 1063/1377, qb1: 677/1377, qb2: 193/459, phi1: 628/1377} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3M_4$ | $M_3\phi_1^2$ | -2 | t^2.21 + t^2.42 + 2*t^2.74 + t^3.05 + t^3.26 + t^3.79 + t^3.89 + 2*t^4.1 + 3*t^4.32 + t^4.42 + t^4.63 + t^4.85 + 2*t^4.95 + 2*t^5.16 + t^5.26 + 5*t^5.47 + t^5.69 - 2*t^6. + 2*t^6.1 - t^6.21 + 3*t^6.31 + 5*t^6.53 + 3*t^6.63 + 3*t^6.74 + 3*t^6.84 + t^6.94 + 5*t^7.05 + 2*t^7.15 + t^7.27 + t^7.37 + t^7.47 + t^7.58 + 4*t^7.68 + t^7.78 + 3*t^7.9 + 2*t^8. + 2*t^8.11 + 4*t^8.21 + 2*t^8.31 - 2*t^8.42 + 3*t^8.52 + 4*t^8.64 - t^8.74 + 3*t^8.84 + t^8.95 - t^4.37/y - t^6.58/y - t^6.79/y + t^7.32/y - t^7.42/y + t^7.63/y + (3*t^7.95)/y + (3*t^8.16)/y + t^8.26/y + (3*t^8.47)/y + t^8.69/y + t^8.79/y - t^4.37*y - t^6.58*y - t^6.79*y + t^7.32*y - t^7.42*y + t^7.63*y + 3*t^7.95*y + 3*t^8.16*y + t^8.26*y + 3*t^8.47*y + t^8.69*y + t^8.79*y | g1^12*t^2.21 + t^2.42/g1^14 + 2*g1^4*t^2.74 + g1^22*t^3.05 + t^3.26/g1^4 + t^3.79/g1^12 + g1^32*t^3.89 + 2*g1^6*t^4.1 + (3*t^4.32)/g1^20 + g1^24*t^4.42 + t^4.63/g1^2 + t^4.85/g1^28 + 2*g1^16*t^4.95 + (2*t^5.16)/g1^10 + g1^34*t^5.26 + 5*g1^8*t^5.47 + t^5.69/g1^18 - 2*t^6. + 2*g1^44*t^6.1 - t^6.21/g1^26 + 3*g1^18*t^6.31 + (5*t^6.53)/g1^8 + 3*g1^36*t^6.63 + (3*t^6.74)/g1^34 + 3*g1^10*t^6.84 + g1^54*t^6.94 + (5*t^7.05)/g1^16 + 2*g1^28*t^7.15 + t^7.27/g1^42 + g1^2*t^7.37 + g1^46*t^7.47 + t^7.58/g1^24 + 4*g1^20*t^7.68 + g1^64*t^7.78 + (3*t^7.9)/g1^6 + 2*g1^38*t^8. + (2*t^8.11)/g1^32 + 4*g1^12*t^8.21 + 2*g1^56*t^8.31 - (2*t^8.42)/g1^14 + 3*g1^30*t^8.52 + (4*t^8.64)/g1^40 - g1^4*t^8.74 + 3*g1^48*t^8.84 + t^8.95/g1^22 - (g1^2*t^4.37)/y - (g1^14*t^6.58)/y - t^6.79/(g1^12*y) + t^7.32/(g1^20*y) - (g1^24*t^7.42)/y + t^7.63/(g1^2*y) + (3*g1^16*t^7.95)/y + (3*t^8.16)/(g1^10*y) + (g1^34*t^8.26)/y + (3*g1^8*t^8.47)/y + t^8.69/(g1^18*y) + (g1^26*t^8.79)/y - g1^2*t^4.37*y - g1^14*t^6.58*y - (t^6.79*y)/g1^12 + (t^7.32*y)/g1^20 - g1^24*t^7.42*y + (t^7.63*y)/g1^2 + 3*g1^16*t^7.95*y + (3*t^8.16*y)/g1^10 + g1^34*t^8.26*y + 3*g1^8*t^8.47*y + (t^8.69*y)/g1^18 + g1^26*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 |
---|---|---|---|---|---|---|---|---|
56410 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_2^2$ + $ M_3M_6$ + $ M_3M_7$ | 0.6919 | 0.8621 | 0.8026 | [X:[], M:[0.7321, 1.0089, 1.0893, 0.8125, 1.0893, 0.9107, 0.9107], q:[0.4955, 0.7723], qb:[0.4955, 0.4152], phi:[0.4554]] | t^2.2 + t^2.44 + 3*t^2.73 + t^3.03 + t^3.8 + t^3.86 + 2*t^4.1 + 3*t^4.34 + t^4.39 + t^4.63 + t^4.88 + 3*t^4.93 + 3*t^5.17 + t^5.22 + 7*t^5.46 + t^5.76 - 4*t^6. - t^4.37/y - t^4.37*y | detail | {a: 63706663/92074800, c: 39688969/46037400, M1: 1014/1385, M2: 4192/4155, M3: 4526/4155, M4: 3376/4155, M5: 4526/4155, M6: 3784/4155, M7: 3784/4155, q1: 2059/4155, q2: 3209/4155, qb1: 2059/4155, qb2: 115/277, phi1: 1892/4155} |
56412 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_2^2$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7044 | 0.8881 | 0.7931 | [X:[], M:[0.7413, 1.0258, 1.0862, 0.8018, 1.0862, 0.9138, 0.6898], q:[0.4871, 0.7716], qb:[0.4871, 0.4267], phi:[0.4569]] | t^2.07 + t^2.22 + t^2.41 + 2*t^2.74 + t^3.08 + t^3.26 + t^3.78 + 2*t^4.11 + t^4.14 + 4*t^4.29 + t^4.45 + t^4.47 + t^4.63 + 3*t^4.81 + 2*t^4.97 + 3*t^5.15 + t^5.3 + t^5.33 + 5*t^5.48 + t^5.66 + t^5.85 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
56411 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_2^2$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_1$ | 0.7034 | 0.8849 | 0.795 | [X:[], M:[0.7316, 1.0078, 1.0895, 0.8132, 1.0895, 0.9105, 0.7316], q:[0.4961, 0.7724], qb:[0.4961, 0.4144], phi:[0.4553]] | 2*t^2.19 + t^2.44 + 2*t^2.73 + t^3.02 + t^3.27 + t^3.85 + 2*t^4.1 + 3*t^4.34 + 3*t^4.39 + 2*t^4.63 + t^4.88 + 4*t^4.93 + 2*t^5.17 + 2*t^5.22 + 6*t^5.46 + t^5.71 - 3*t^6. - t^4.37/y - t^4.37*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 |
---|---|---|---|---|---|---|---|---|---|
47083 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_2^2$ | 0.6958 | 0.8638 | 0.8055 | [X:[], M:[0.7814, 0.9672, 0.9672, 0.7814, 1.1257, 0.8743], q:[0.4372, 0.7814], qb:[0.5957, 0.4372], phi:[0.4372]] | 2*t^2.34 + 2*t^2.62 + 2*t^2.9 + 3*t^3.93 + t^4.13 + 2*t^4.41 + 3*t^4.69 + t^4.89 + 4*t^4.97 + 7*t^5.25 + 2*t^5.52 + 3*t^5.8 - 5*t^6. - t^4.31/y - t^4.31*y | detail |