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 |
|---|---|---|---|---|---|---|---|---|---|
| 3352 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6204 | 0.8049 | 0.7708 | [X:[], M:[0.9515, 1.1454, 1.0485, 0.8546, 0.8546, 0.8151], q:[0.7379, 0.3106], qb:[0.4076, 0.447], phi:[0.5242]] | [X:[], M:[[4], [-12], [-4], [12], [12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_6$, $ M_4$, $ M_5$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3M_4$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.15 + t^2.27 + t^2.45 + 2*t^2.56 + 2*t^3.15 + t^3.44 + t^3.73 + t^3.85 + t^4.02 + t^4.14 + t^4.25 + t^4.31 + t^4.43 + t^4.55 + t^4.6 + 3*t^4.72 + 2*t^4.84 + t^4.89 + 2*t^5.01 + 3*t^5.13 + 2*t^5.3 + 2*t^5.42 + 2*t^5.59 + 3*t^5.71 + t^5.88 + 2*t^6.17 + 4*t^6.29 + 2*t^6.41 + 2*t^6.46 + t^6.53 + 4*t^6.58 + 2*t^6.7 + t^6.75 + 3*t^6.82 + 3*t^6.87 + 2*t^6.99 + t^7.05 + t^7.11 + 4*t^7.16 + 4*t^7.28 + t^7.34 + 4*t^7.4 + 4*t^7.45 + 2*t^7.57 + 5*t^7.69 + 3*t^7.75 + 3*t^7.86 + 2*t^7.98 + 3*t^8.04 + t^8.1 + t^8.15 + 2*t^8.27 + 2*t^8.33 + t^8.39 + t^8.45 + t^8.51 - t^8.56 + 3*t^8.62 + 5*t^8.74 + t^8.8 + 3*t^8.85 + 2*t^8.91 + 3*t^8.97 - t^4.57/y - t^7.02/y - t^7.14/y + (2*t^7.43)/y + t^7.6/y + (2*t^7.72)/y + (2*t^7.84)/y + (3*t^8.01)/y + (2*t^8.13)/y + (2*t^8.3)/y + (2*t^8.42)/y + (3*t^8.59)/y + (5*t^8.71)/y + (2*t^8.88)/y - t^4.57*y - t^7.02*y - t^7.14*y + 2*t^7.43*y + t^7.6*y + 2*t^7.72*y + 2*t^7.84*y + 3*t^8.01*y + 2*t^8.13*y + 2*t^8.3*y + 2*t^8.42*y + 3*t^8.59*y + 5*t^8.71*y + 2*t^8.88*y | t^2.15/g1^18 + g1^20*t^2.27 + t^2.45/g1^26 + 2*g1^12*t^2.56 + (2*t^3.15)/g1^4 + t^3.44/g1^12 + t^3.73/g1^20 + g1^18*t^3.85 + t^4.02/g1^28 + g1^10*t^4.14 + g1^48*t^4.25 + t^4.31/g1^36 + g1^2*t^4.43 + g1^40*t^4.55 + t^4.6/g1^44 + (3*t^4.72)/g1^6 + 2*g1^32*t^4.84 + t^4.89/g1^52 + (2*t^5.01)/g1^14 + 3*g1^24*t^5.13 + (2*t^5.3)/g1^22 + 2*g1^16*t^5.42 + (2*t^5.59)/g1^30 + 3*g1^8*t^5.71 + t^5.88/g1^38 + (2*t^6.17)/g1^46 + (4*t^6.29)/g1^8 + 2*g1^30*t^6.41 + (2*t^6.46)/g1^54 + g1^68*t^6.53 + (4*t^6.58)/g1^16 + 2*g1^22*t^6.7 + t^6.75/g1^62 + 3*g1^60*t^6.82 + (3*t^6.87)/g1^24 + 2*g1^14*t^6.99 + t^7.05/g1^70 + g1^52*t^7.11 + (4*t^7.16)/g1^32 + 4*g1^6*t^7.28 + t^7.34/g1^78 + 4*g1^44*t^7.4 + (4*t^7.45)/g1^40 + (2*t^7.57)/g1^2 + 5*g1^36*t^7.69 + (3*t^7.75)/g1^48 + (3*t^7.86)/g1^10 + 2*g1^28*t^7.98 + (3*t^8.04)/g1^56 + g1^66*t^8.1 + t^8.15/g1^18 + 2*g1^20*t^8.27 + (2*t^8.33)/g1^64 + g1^58*t^8.39 + t^8.45/g1^26 + g1^96*t^8.51 - g1^12*t^8.56 + (3*t^8.62)/g1^72 + (5*t^8.74)/g1^34 + g1^88*t^8.8 + 3*g1^4*t^8.85 + (2*t^8.91)/g1^80 + 3*g1^42*t^8.97 - t^4.57/(g1^2*y) - t^7.02/(g1^28*y) - (g1^10*t^7.14)/y + (2*g1^2*t^7.43)/y + t^7.6/(g1^44*y) + (2*t^7.72)/(g1^6*y) + (2*g1^32*t^7.84)/y + (3*t^8.01)/(g1^14*y) + (2*g1^24*t^8.13)/y + (2*t^8.3)/(g1^22*y) + (2*g1^16*t^8.42)/y + (3*t^8.59)/(g1^30*y) + (5*g1^8*t^8.71)/y + (2*t^8.88)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^7.02*y)/g1^28 - g1^10*t^7.14*y + 2*g1^2*t^7.43*y + (t^7.6*y)/g1^44 + (2*t^7.72*y)/g1^6 + 2*g1^32*t^7.84*y + (3*t^8.01*y)/g1^14 + 2*g1^24*t^8.13*y + (2*t^8.3*y)/g1^22 + 2*g1^16*t^8.42*y + (3*t^8.59*y)/g1^30 + 5*g1^8*t^8.71*y + (2*t^8.88*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3798 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6194 | 0.8037 | 0.7708 | [X:[], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.21 + 3*t^2.53 + 2*t^3.16 + t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 6*t^4.74 + 6*t^5.05 + 4*t^5.37 + 5*t^5.68 + t^6. - t^4.58/y - t^4.58*y | detail | {a: 16995/27436, c: 22049/27436, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 3800 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6334 | 0.8272 | 0.7657 | [X:[], M:[0.9496, 1.1513, 1.0504, 0.8487, 0.8487, 0.8278, 0.8487], q:[0.7374, 0.313], qb:[0.4139, 0.4348], phi:[0.5252]] | t^2.18 + t^2.24 + t^2.48 + 3*t^2.55 + 2*t^3.15 + t^3.76 + t^3.82 + t^4.06 + t^4.12 + t^4.18 + t^4.36 + t^4.42 + t^4.49 + t^4.66 + 4*t^4.73 + 3*t^4.79 + t^4.97 + 3*t^5.03 + 6*t^5.09 + 2*t^5.33 + 2*t^5.39 + t^5.63 + 4*t^5.7 - 2*t^6. - t^4.58/y - t^4.58*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2822 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6057 | 0.7801 | 0.7765 | [X:[], M:[0.9474, 1.1578, 1.0526, 0.8422, 0.8422], q:[0.7368, 0.3158], qb:[0.421, 0.4212], phi:[0.5263]] | 2*t^2.21 + 2*t^2.53 + 2*t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.1 + 2*t^4.11 + 3*t^4.42 + 4*t^4.74 + 3*t^5.05 + 4*t^5.37 + 5*t^5.68 + 2*t^6. - t^4.58/y - t^4.58*y | detail |