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 |
---|---|---|---|---|---|---|---|---|---|
1132 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.6883 | 0.8591 | 0.8011 | [X:[], M:[1.0886, 1.0886, 1.0127, 0.7342, 0.9114, 0.7087], q:[0.7721, 0.4178], qb:[0.4936, 0.4936], phi:[0.4557]] | [X:[], M:[[4], [4], [-22], [-12], [-4], [32]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_6$, $ M_3M_4$, $ M_1M_6$, $ M_1M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_6q_1q_2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_4q_1q_2$, $ M_6q_1\tilde{q}_1$ | $M_1M_5$, $ M_4q_1\tilde{q}_1$ | -2 | t^2.13 + t^2.2 + 2*t^2.73 + t^3.04 + t^3.27 + t^3.57 + t^3.8 + 2*t^4.1 + t^4.25 + 4*t^4.33 + t^4.41 + 2*t^4.86 + 2*t^4.94 + t^5.16 + t^5.24 + t^5.39 + 4*t^5.47 + t^5.7 + t^5.77 + t^5.92 - 2*t^6. + t^6.08 + 4*t^6.3 + t^6.38 + 4*t^6.46 + 4*t^6.53 + 2*t^6.61 + 3*t^6.84 + 2*t^6.99 + 6*t^7.06 + 2*t^7.14 + t^7.29 + t^7.37 + t^7.44 + t^7.52 + 3*t^7.59 + 4*t^7.67 + t^7.82 + 2*t^7.9 + t^7.98 + t^8.05 - t^8.13 + 2*t^8.2 + t^8.28 + 4*t^8.43 + t^8.5 + 3*t^8.51 + 4*t^8.58 + 9*t^8.66 - 2*t^8.73 + 2*t^8.81 - t^8.96 - t^4.37/y - t^6.49/y - t^6.57/y + (2*t^7.33)/y - t^7.41/y + (2*t^7.86)/y + (2*t^7.94)/y + (2*t^8.16)/y + (2*t^8.24)/y + t^8.39/y + (2*t^8.47)/y - t^8.62/y + (2*t^8.77)/y + t^8.92/y - t^4.37*y - t^6.49*y - t^6.57*y + 2*t^7.33*y - t^7.41*y + 2*t^7.86*y + 2*t^7.94*y + 2*t^8.16*y + 2*t^8.24*y + t^8.39*y + 2*t^8.47*y - t^8.62*y + 2*t^8.77*y + t^8.92*y | g1^32*t^2.13 + t^2.2/g1^12 + (2*t^2.73)/g1^4 + t^3.04/g1^22 + g1^4*t^3.27 + t^3.57/g1^14 + g1^12*t^3.8 + (2*t^4.1)/g1^6 + g1^64*t^4.25 + 4*g1^20*t^4.33 + t^4.41/g1^24 + 2*g1^28*t^4.86 + (2*t^4.94)/g1^16 + g1^10*t^5.16 + t^5.24/g1^34 + g1^36*t^5.39 + (4*t^5.47)/g1^8 + g1^18*t^5.7 + t^5.77/g1^26 + g1^44*t^5.92 - 2*t^6. + t^6.08/g1^44 + (4*t^6.3)/g1^18 + g1^96*t^6.38 + 4*g1^52*t^6.46 + 4*g1^8*t^6.53 + (2*t^6.61)/g1^36 + (3*t^6.84)/g1^10 + 2*g1^60*t^6.99 + 6*g1^16*t^7.06 + (2*t^7.14)/g1^28 + g1^42*t^7.29 + t^7.37/g1^2 + t^7.44/g1^46 + g1^68*t^7.52 + 3*g1^24*t^7.59 + (4*t^7.67)/g1^20 + g1^50*t^7.82 + 2*g1^6*t^7.9 + t^7.98/g1^38 + g1^76*t^8.05 - g1^32*t^8.13 + (2*t^8.2)/g1^12 + t^8.28/g1^56 + 4*g1^14*t^8.43 + g1^128*t^8.5 + (3*t^8.51)/g1^30 + 4*g1^84*t^8.58 + 9*g1^40*t^8.66 - (2*t^8.73)/g1^4 + (2*t^8.81)/g1^48 - g1^22*t^8.96 - t^4.37/(g1^2*y) - (g1^30*t^6.49)/y - t^6.57/(g1^14*y) + (2*g1^20*t^7.33)/y - t^7.41/(g1^24*y) + (2*g1^28*t^7.86)/y + (2*t^7.94)/(g1^16*y) + (2*g1^10*t^8.16)/y + (2*t^8.24)/(g1^34*y) + (g1^36*t^8.39)/y + (2*t^8.47)/(g1^8*y) - (g1^62*t^8.62)/y + (2*t^8.77)/(g1^26*y) + (g1^44*t^8.92)/y - (t^4.37*y)/g1^2 - g1^30*t^6.49*y - (t^6.57*y)/g1^14 + 2*g1^20*t^7.33*y - (t^7.41*y)/g1^24 + 2*g1^28*t^7.86*y + (2*t^7.94*y)/g1^16 + 2*g1^10*t^8.16*y + (2*t^8.24*y)/g1^34 + g1^36*t^8.39*y + (2*t^8.47*y)/g1^8 - g1^62*t^8.62*y + (2*t^8.77*y)/g1^26 + g1^44*t^8.92*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 |
---|---|---|---|---|---|---|---|---|
2157 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_7$ | 0.6802 | 0.8458 | 0.8042 | [X:[], M:[1.0876, 1.0876, 1.0181, 0.7372, 0.9124, 0.7009, 1.0876], q:[0.7719, 0.4214], qb:[0.4909, 0.4909], phi:[0.4562]] | t^2.1 + t^2.21 + t^2.74 + t^3.05 + 2*t^3.26 + t^3.58 + t^3.79 + 2*t^4.11 + t^4.21 + 4*t^4.31 + t^4.42 + t^4.84 + t^4.95 + t^5.16 + t^5.27 + 2*t^5.37 + 3*t^5.47 + t^5.68 + t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
2156 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.7079 | 0.8954 | 0.7906 | [X:[], M:[1.0897, 1.0897, 1.0067, 0.7309, 0.9103, 0.7176, 0.7309], q:[0.7724, 0.4136], qb:[0.4967, 0.4967], phi:[0.4552]] | t^2.15 + 2*t^2.19 + 2*t^2.73 + t^3.02 + t^3.27 + t^3.56 + 2*t^4.1 + t^4.31 + 5*t^4.35 + 3*t^4.39 + 2*t^4.88 + 4*t^4.92 + t^5.17 + 2*t^5.21 + t^5.42 + 5*t^5.46 + t^5.71 + 2*t^5.75 - 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 |
---|---|---|---|---|---|---|---|---|---|
699 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ | 0.6682 | 0.8218 | 0.813 | [X:[], M:[1.0917, 1.0917, 0.9959, 0.725, 0.9083], q:[0.7729, 0.4063], qb:[0.502, 0.502], phi:[0.4542]] | t^2.18 + 2*t^2.73 + t^2.99 + t^3.27 + t^3.54 + t^3.8 + t^3.82 + 2*t^4.09 + t^4.35 + 3*t^4.37 + 2*t^4.9 + t^5.16 + 4*t^5.45 + t^5.71 + 2*t^5.98 - 2*t^6. - t^4.36/y - t^4.36*y | detail |