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 |
---|---|---|---|---|---|---|---|---|---|
55277 | 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_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ + $ M_4M_6$ | 0.697 | 0.8721 | 0.7992 | [X:[], M:[1.0862, 0.7414, 0.7414, 1.0862, 0.9138, 0.9138], q:[0.4871, 0.4267], qb:[0.7716, 0.4871], phi:[0.4569]] | [X:[], M:[[4], [-12], [-12], [4], [-4], [-4]], q:[[11], [-15]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$, $ M_2M_6$, $ M_3M_6$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | . | -5 | 2*t^2.22 + 3*t^2.74 + t^2.92 + t^3.59 + t^3.93 + 2*t^4.11 + 3*t^4.29 + 3*t^4.45 + 6*t^4.97 + 2*t^5.15 + 6*t^5.48 + 3*t^5.66 + t^5.85 - 5*t^6. + 2*t^6.15 - 2*t^6.18 + 6*t^6.34 + 4*t^6.52 + 7*t^6.67 + 4*t^6.85 + 8*t^7.03 + 7*t^7.19 + 3*t^7.22 - 3*t^7.37 + t^7.53 - 5*t^7.55 + 12*t^7.71 + t^7.86 + 5*t^7.89 + t^8.04 + 2*t^8.22 + 3*t^8.38 + 4*t^8.41 + 4*t^8.56 + 8*t^8.59 - 12*t^8.74 + t^8.77 + 11*t^8.9 - 11*t^8.92 - t^4.37/y - (2*t^6.59)/y - t^7.11/y + t^7.45/y + t^7.63/y + (6*t^7.97)/y + (4*t^8.15)/y + (3*t^8.48)/y + (3*t^8.66)/y - t^8.82/y - t^4.37*y - 2*t^6.59*y - t^7.11*y + t^7.45*y + t^7.63*y + 6*t^7.97*y + 4*t^8.15*y + 3*t^8.48*y + 3*t^8.66*y - t^8.82*y | (2*t^2.22)/g1^12 + (3*t^2.74)/g1^4 + g1^22*t^2.92 + t^3.59/g1^14 + t^3.93/g1^32 + (2*t^4.11)/g1^6 + 3*g1^20*t^4.29 + (3*t^4.45)/g1^24 + (6*t^4.97)/g1^16 + 2*g1^10*t^5.15 + (6*t^5.48)/g1^8 + 3*g1^18*t^5.66 + g1^44*t^5.85 - 5*t^6. + (2*t^6.15)/g1^44 - 2*g1^26*t^6.18 + (6*t^6.34)/g1^18 + 4*g1^8*t^6.52 + (7*t^6.67)/g1^36 + (4*t^6.85)/g1^10 + 8*g1^16*t^7.03 + (7*t^7.19)/g1^28 + 3*g1^42*t^7.22 - (3*t^7.37)/g1^2 + t^7.53/g1^46 - 5*g1^24*t^7.55 + (12*t^7.71)/g1^20 + t^7.86/g1^64 + 5*g1^6*t^7.89 + t^8.04/g1^38 + (2*t^8.22)/g1^12 + (3*t^8.38)/g1^56 + 4*g1^14*t^8.41 + (4*t^8.56)/g1^30 + 8*g1^40*t^8.59 - (12*t^8.74)/g1^4 + g1^66*t^8.77 + (11*t^8.9)/g1^48 - 11*g1^22*t^8.92 - t^4.37/(g1^2*y) - (2*t^6.59)/(g1^14*y) - t^7.11/(g1^6*y) + t^7.45/(g1^24*y) + (g1^2*t^7.63)/y + (6*t^7.97)/(g1^16*y) + (4*g1^10*t^8.15)/y + (3*t^8.48)/(g1^8*y) + (3*g1^18*t^8.66)/y - t^8.82/(g1^26*y) - (t^4.37*y)/g1^2 - (2*t^6.59*y)/g1^14 - (t^7.11*y)/g1^6 + (t^7.45*y)/g1^24 + g1^2*t^7.63*y + (6*t^7.97*y)/g1^16 + 4*g1^10*t^8.15*y + (3*t^8.48*y)/g1^8 + 3*g1^18*t^8.66*y - (t^8.82*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
56936 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ + $ M_4M_6$ + $ M_7\phi_1q_2^2$ | 0.7178 | 0.9125 | 0.7865 | [X:[], M:[1.0852, 0.7445, 0.7445, 1.0852, 0.9148, 0.9148, 0.6814], q:[0.4842, 0.4306], qb:[0.7713, 0.4842], phi:[0.4574]] | t^2.04 + 2*t^2.23 + 3*t^2.74 + t^2.91 + t^3.61 + t^4.09 + 2*t^4.12 + 5*t^4.28 + 3*t^4.47 + 3*t^4.79 + t^4.95 + 6*t^4.98 + 2*t^5.14 + 6*t^5.49 + 4*t^5.65 + t^5.81 - 5*t^6. - t^4.37/y - t^4.37*y | detail | |
56935 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ + $ M_4M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6967 | 0.8748 | 0.7964 | [X:[], M:[1.0944, 0.7167, 0.7167, 1.0944, 0.9056, 0.9056, 0.9806], q:[0.5097, 0.3959], qb:[0.7736, 0.5097], phi:[0.4528]] | 2*t^2.15 + 3*t^2.72 + t^2.94 + t^3.51 + t^3.73 + 2*t^4.08 + 3*t^4.3 + 3*t^4.42 + 6*t^4.87 + 2*t^5.09 + 6*t^5.43 + 3*t^5.66 + 3*t^5.88 - 5*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
46807 | 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_1\phi_1^2$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_5$ | 0.6892 | 0.8587 | 0.8026 | [X:[], M:[1.0848, 0.7456, 0.7456, 1.0848, 0.9152], q:[0.4832, 0.432], qb:[0.7712, 0.4832], phi:[0.4576]] | 2*t^2.24 + 2*t^2.75 + t^2.9 + t^3.25 + t^3.61 + t^3.96 + 2*t^4.12 + 3*t^4.27 + 3*t^4.47 + 4*t^4.98 + 2*t^5.14 + 5*t^5.49 + 2*t^5.64 + t^5.8 - 3*t^6. - t^4.37/y - t^4.37*y | detail |