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 |
---|---|---|---|---|---|---|---|---|---|
55079 | 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_6\phi_1^2$ | 0.6815 | 0.8455 | 0.806 | [X:[], M:[1.0834, 0.7499, 0.7499, 1.0834, 0.9166, 1.0834], q:[0.4793, 0.4374], qb:[0.7708, 0.4793], phi:[0.4583]] | [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$, $ q_1\tilde{q}_2$, $ M_4$, $ M_6$, $ 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$, $ \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_2M_4$, $ M_3M_4$, $ M_5^2$, $ M_2M_6$, $ M_3M_6$, $ M_5q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | $M_5M_6$ | -3 | 2*t^2.25 + t^2.75 + t^2.88 + 2*t^3.25 + t^3.62 + t^4. + 2*t^4.12 + 3*t^4.25 + 3*t^4.5 + 2*t^5. + 2*t^5.13 + 5*t^5.5 + t^5.63 + t^5.75 - 3*t^6. + 2*t^6.25 + 4*t^6.37 + 7*t^6.5 + 5*t^6.75 + 2*t^6.87 + 2*t^7. + 3*t^7.13 + 3*t^7.25 + t^7.37 + t^7.5 + t^7.62 + 8*t^7.75 + t^7.88 + t^8. + t^8.12 - 3*t^8.25 + 3*t^8.38 + 9*t^8.5 + 4*t^8.62 + t^8.63 + 6*t^8.75 - 5*t^8.88 - t^4.37/y - (2*t^6.62)/y + t^7.12/y + t^7.5/y - t^7.63/y + (2*t^8.)/y + (4*t^8.13)/y + (4*t^8.5)/y + t^8.63/y - t^8.87/y - t^4.37*y - 2*t^6.62*y + t^7.12*y + t^7.5*y - t^7.63*y + 2*t^8.*y + 4*t^8.13*y + 4*t^8.5*y + t^8.63*y - t^8.87*y | (2*t^2.25)/g1^12 + t^2.75/g1^4 + g1^22*t^2.88 + 2*g1^4*t^3.25 + t^3.62/g1^14 + t^4./g1^32 + (2*t^4.12)/g1^6 + 3*g1^20*t^4.25 + (3*t^4.5)/g1^24 + (2*t^5.)/g1^16 + 2*g1^10*t^5.13 + (5*t^5.5)/g1^8 + g1^18*t^5.63 + g1^44*t^5.75 - 3*t^6. + (2*t^6.25)/g1^44 + (4*t^6.37)/g1^18 + 7*g1^8*t^6.5 + (5*t^6.75)/g1^36 + (2*t^6.87)/g1^10 + 2*g1^16*t^7. + 3*g1^42*t^7.13 + (3*t^7.25)/g1^28 + t^7.37/g1^2 + g1^24*t^7.5 + t^7.62/g1^46 + (8*t^7.75)/g1^20 + g1^6*t^7.88 + t^8./g1^64 + t^8.12/g1^38 - (3*t^8.25)/g1^12 + 3*g1^14*t^8.38 + (3*t^8.5)/g1^56 + 6*g1^40*t^8.5 + (4*t^8.62)/g1^30 + g1^66*t^8.63 + (6*t^8.75)/g1^4 - 5*g1^22*t^8.88 - t^4.37/(g1^2*y) - (2*t^6.62)/(g1^14*y) + t^7.12/(g1^6*y) + t^7.5/(g1^24*y) - (g1^2*t^7.63)/y + (2*t^8.)/(g1^16*y) + (4*g1^10*t^8.13)/y + (4*t^8.5)/(g1^8*y) + (g1^18*t^8.63)/y - t^8.87/(g1^26*y) - (t^4.37*y)/g1^2 - (2*t^6.62*y)/g1^14 + (t^7.12*y)/g1^6 + (t^7.5*y)/g1^24 - g1^2*t^7.63*y + (2*t^8.*y)/g1^16 + 4*g1^10*t^8.13*y + (4*t^8.5*y)/g1^8 + g1^18*t^8.63*y - (t^8.87*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 |
---|---|---|---|---|---|---|---|---|
56639 | $M_1q_1q_2$ + $ 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_6\phi_1^2$ + $ M_5M_7$ | 0.6739 | 0.8327 | 0.8093 | [X:[], M:[1.0819, 0.7542, 0.7542, 1.0819, 0.9181, 1.0819, 1.0819], q:[0.4753, 0.4428], qb:[0.7705, 0.4753], phi:[0.459]] | 2*t^2.26 + t^2.85 + 3*t^3.25 + t^3.64 + t^4.03 + 2*t^4.13 + 3*t^4.23 + 3*t^4.53 + 2*t^5.11 + 6*t^5.51 + t^5.7 - 5*t^6. - t^4.38/y - t^4.38*y | detail | |
56640 | $M_1q_1q_2$ + $ 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_6\phi_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6797 | 0.8448 | 0.8046 | [X:[], M:[1.0917, 0.7249, 0.7249, 1.0917, 0.9083, 1.0917, 0.9956], q:[0.5022, 0.4061], qb:[0.7729, 0.5022], phi:[0.4541]] | 2*t^2.17 + t^2.72 + t^2.99 + 2*t^3.28 + t^3.54 + t^3.8 + 2*t^4.09 + 3*t^4.35 + 3*t^4.38 + 2*t^4.9 + 2*t^5.16 + 5*t^5.45 + t^5.71 + 3*t^5.97 - 3*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 |