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 |
|---|---|---|---|---|---|---|---|---|---|
| 1918 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ | 0.6746 | 0.8467 | 0.7967 | [X:[], M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]] | [X:[], M:[[-12], [4], [12], [-20], [-12]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$ | $M_4\phi_1q_1^2$ | -1 | t^2.15 + 2*t^2.49 + t^2.77 + t^2.83 + t^3.17 + t^3.57 + t^3.85 + t^3.91 + t^3.97 + t^4.18 + t^4.25 + t^4.31 + t^4.52 + 2*t^4.65 + t^4.92 + 4*t^4.99 + 2*t^5.26 + 3*t^5.32 + t^5.54 + t^5.6 + 2*t^5.66 - t^6. + 2*t^6.06 + t^6.13 - t^6.27 + 2*t^6.34 + 3*t^6.4 + 3*t^6.46 + t^6.61 + 3*t^6.68 + 3*t^6.74 + 3*t^6.8 + t^6.95 + 2*t^7.01 + 4*t^7.14 + t^7.29 + 6*t^7.48 + t^7.54 + 3*t^7.75 + 6*t^7.82 + t^7.88 + t^7.94 + 2*t^8.03 + 2*t^8.09 + 2*t^8.15 + t^8.22 + t^8.28 + t^8.3 + 2*t^8.37 - t^8.43 - 2*t^8.49 + 3*t^8.56 + 3*t^8.62 + t^8.7 - 3*t^8.77 + 5*t^8.89 + 6*t^8.96 - t^4.42/y - t^6.57/y - t^6.91/y + (2*t^7.65)/y + (2*t^7.92)/y + (2*t^7.99)/y + (3*t^8.26)/y + (3*t^8.32)/y + t^8.6/y + (2*t^8.66)/y + t^8.94/y - t^4.42*y - t^6.57*y - t^6.91*y + 2*t^7.65*y + 2*t^7.92*y + 2*t^7.99*y + 3*t^8.26*y + 3*t^8.32*y + t^8.6*y + 2*t^8.66*y + t^8.94*y | t^2.15/g1^20 + (2*t^2.49)/g1^12 + g1^30*t^2.77 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.57/g1^22 + g1^20*t^3.85 + t^3.91/g1^14 + t^3.97/g1^48 + g1^28*t^4.18 + t^4.25/g1^6 + t^4.31/g1^40 + g1^36*t^4.52 + (2*t^4.65)/g1^32 + g1^10*t^4.92 + (4*t^4.99)/g1^24 + 2*g1^18*t^5.26 + (3*t^5.32)/g1^16 + g1^60*t^5.54 + g1^26*t^5.6 + (2*t^5.66)/g1^8 - t^6. + (2*t^6.06)/g1^34 + t^6.13/g1^68 - g1^42*t^6.27 + 2*g1^8*t^6.34 + (3*t^6.4)/g1^26 + (3*t^6.46)/g1^60 + g1^50*t^6.61 + 3*g1^16*t^6.68 + (3*t^6.74)/g1^18 + (3*t^6.8)/g1^52 + g1^58*t^6.95 + 2*g1^24*t^7.01 + (4*t^7.14)/g1^44 + g1^66*t^7.29 + (6*t^7.48)/g1^36 + t^7.54/g1^70 + 3*g1^6*t^7.75 + (6*t^7.82)/g1^28 + t^7.88/g1^62 + t^7.94/g1^96 + 2*g1^48*t^8.03 + 2*g1^14*t^8.09 + (2*t^8.15)/g1^20 + t^8.22/g1^54 + t^8.28/g1^88 + g1^90*t^8.3 + 2*g1^56*t^8.37 - g1^22*t^8.43 - (2*t^8.49)/g1^12 + (3*t^8.56)/g1^46 + (3*t^8.62)/g1^80 + g1^64*t^8.7 - 3*g1^30*t^8.77 + (5*t^8.89)/g1^38 + (6*t^8.96)/g1^72 - t^4.42/(g1^2*y) - t^6.57/(g1^22*y) - t^6.91/(g1^14*y) + (2*t^7.65)/(g1^32*y) + (2*g1^10*t^7.92)/y + (2*t^7.99)/(g1^24*y) + (3*g1^18*t^8.26)/y + (3*t^8.32)/(g1^16*y) + (g1^26*t^8.6)/y + (2*t^8.66)/(g1^8*y) + (g1^34*t^8.94)/y - (t^4.42*y)/g1^2 - (t^6.57*y)/g1^22 - (t^6.91*y)/g1^14 + (2*t^7.65*y)/g1^32 + 2*g1^10*t^7.92*y + (2*t^7.99*y)/g1^24 + 3*g1^18*t^8.26*y + (3*t^8.32*y)/g1^16 + g1^26*t^8.6*y + (2*t^8.66*y)/g1^8 + g1^34*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 2954 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6952 | 0.8862 | 0.7845 | [X:[], M:[0.8322, 1.0559, 1.1678, 0.7204, 0.8322, 0.6957], q:[0.4038, 0.764], qb:[0.4285, 0.5156], phi:[0.472]] | t^2.09 + t^2.16 + 2*t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.58 + t^3.84 + t^3.99 + 2*t^4.17 + 2*t^4.25 + t^4.32 + t^4.51 + 2*t^4.58 + 2*t^4.66 + t^4.85 + 2*t^4.92 + 4*t^4.99 + 3*t^5.25 + 3*t^5.33 + t^5.52 + t^5.59 + 3*t^5.66 + t^5.93 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 2953 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1^2$ | 0.6948 | 0.885 | 0.785 | [X:[], M:[0.8282, 1.0573, 1.1718, 0.7136, 0.8282, 0.7136], q:[0.4075, 0.7643], qb:[0.4207, 0.5221], phi:[0.4714]] | 2*t^2.14 + 2*t^2.48 + t^2.79 + t^2.83 + t^3.17 + t^3.55 + t^3.9 + t^3.94 + t^4.2 + t^4.24 + 3*t^4.28 + t^4.55 + 4*t^4.63 + 2*t^4.93 + 5*t^4.97 + 2*t^5.27 + 4*t^5.31 + t^5.58 + t^5.62 + 2*t^5.66 + t^5.7 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 2955 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6954 | 0.8879 | 0.7832 | [X:[], M:[0.8319, 1.056, 1.1681, 0.7198, 0.8319, 0.6725], q:[0.4041, 0.764], qb:[0.4278, 0.5162], phi:[0.472]] | t^2.02 + t^2.16 + 2*t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.58 + t^3.84 + t^3.91 + t^4.03 + 2*t^4.18 + t^4.25 + t^4.32 + 3*t^4.51 + 2*t^4.66 + t^4.78 + t^4.85 + t^4.92 + 4*t^4.99 + t^5.19 + 2*t^5.26 + 3*t^5.33 + t^5.52 + 2*t^5.59 + 2*t^5.66 + t^5.86 + t^5.93 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 2952 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6692 | 0.8404 | 0.7963 | [X:[], M:[0.8152, 1.0616, 1.1848, 0.6921, 0.8152, 1.0381], q:[0.4194, 0.7654], qb:[0.3959, 0.5425], phi:[0.4692]] | t^2.08 + 2*t^2.45 + t^2.82 + t^3.11 + t^3.18 + t^3.48 + t^3.78 + t^3.85 + t^3.92 + t^4.15 + t^4.22 + t^4.29 + 2*t^4.52 + t^4.66 + 4*t^4.89 + t^5.19 + 3*t^5.26 + 2*t^5.56 + 2*t^5.63 + t^5.86 + 3*t^5.93 - t^6. - t^4.41/y - t^4.41*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 580 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ | 0.7035 | 0.8668 | 0.8116 | [X:[], M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]] | t^2.62 + 2*t^2.77 + t^2.92 + t^3.06 + t^3.08 + t^3.09 + t^4.1 + t^4.24 + t^4.37 + t^4.39 + t^4.52 + t^4.55 + t^4.67 + t^4.69 + t^4.84 + t^5. + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.83 + 2*t^5.85 + t^5.86 + t^5.98 - 3*t^6. - t^4.46/y - t^4.46*y | detail |