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 |
|---|---|---|---|---|---|---|---|---|---|
| 46696 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6254 | 0.8161 | 0.7663 | [X:[], M:[0.9488, 0.8464, 1.0512, 0.7304], q:[0.7372, 0.314], qb:[0.4164, 0.43], phi:[0.5256]] | [X:[], M:[[4], [12], [-4], [-18]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ 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$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.19 + t^2.23 + 2*t^2.54 + 2*t^3.15 + t^3.46 + t^3.5 + t^3.77 + t^4.08 + t^4.12 + t^4.16 + 3*t^4.38 + 2*t^4.42 + t^4.46 + 4*t^4.73 + 2*t^4.77 + 3*t^5.08 + 4*t^5.34 + 2*t^5.39 + t^5.65 + 5*t^5.69 + t^5.73 + t^5.96 - t^6. + t^6.04 + 2*t^6.27 + 4*t^6.31 + t^6.35 + t^6.39 + 4*t^6.57 + 5*t^6.61 + 4*t^6.66 + 3*t^6.7 + 6*t^6.92 + 2*t^6.96 + 2*t^7. + t^7.23 + 5*t^7.27 + 4*t^7.31 + 6*t^7.54 + t^7.58 + 5*t^7.62 + t^7.66 + 2*t^7.84 + 6*t^7.88 + 3*t^7.92 + t^7.97 + 2*t^8.15 - 4*t^8.19 + 4*t^8.23 + 2*t^8.27 + t^8.31 + 3*t^8.46 + 5*t^8.5 - 2*t^8.54 + 2*t^8.58 + t^8.62 + 5*t^8.76 + 6*t^8.81 + 7*t^8.85 + 4*t^8.89 + 3*t^8.93 - t^4.58/y - t^6.77/y - t^7.12/y + t^7.38/y + (3*t^7.42)/y + (3*t^7.73)/y + (2*t^7.77)/y + t^8.04/y + t^8.08/y + (4*t^8.34)/y + (3*t^8.39)/y + (2*t^8.65)/y + (7*t^8.69)/y + t^8.73/y + t^8.96/y - t^4.58*y - t^6.77*y - t^7.12*y + t^7.38*y + 3*t^7.42*y + 3*t^7.73*y + 2*t^7.77*y + t^8.04*y + t^8.08*y + 4*t^8.34*y + 3*t^8.39*y + 2*t^8.65*y + 7*t^8.69*y + t^8.73*y + t^8.96*y | (2*t^2.19)/g1^18 + g1^20*t^2.23 + 2*g1^12*t^2.54 + (2*t^3.15)/g1^4 + t^3.46/g1^12 + g1^26*t^3.5 + t^3.77/g1^20 + t^4.08/g1^28 + g1^10*t^4.12 + g1^48*t^4.16 + (3*t^4.38)/g1^36 + 2*g1^2*t^4.42 + g1^40*t^4.46 + (4*t^4.73)/g1^6 + 2*g1^32*t^4.77 + 3*g1^24*t^5.08 + (4*t^5.34)/g1^22 + 2*g1^16*t^5.39 + t^5.65/g1^30 + 5*g1^8*t^5.69 + g1^46*t^5.73 + t^5.96/g1^38 - t^6. + g1^38*t^6.04 + (2*t^6.27)/g1^46 + (4*t^6.31)/g1^8 + g1^30*t^6.35 + g1^68*t^6.39 + (4*t^6.57)/g1^54 + (5*t^6.61)/g1^16 + 4*g1^22*t^6.66 + 3*g1^60*t^6.7 + (6*t^6.92)/g1^24 + 2*g1^14*t^6.96 + 2*g1^52*t^7. + t^7.23/g1^32 + 5*g1^6*t^7.27 + 4*g1^44*t^7.31 + (6*t^7.54)/g1^40 + t^7.58/g1^2 + 5*g1^36*t^7.62 + g1^74*t^7.66 + (2*t^7.84)/g1^48 + (6*t^7.88)/g1^10 + 3*g1^28*t^7.92 + g1^66*t^7.97 + (2*t^8.15)/g1^56 - (4*t^8.19)/g1^18 + 4*g1^20*t^8.23 + 2*g1^58*t^8.27 + g1^96*t^8.31 + (3*t^8.46)/g1^64 + (5*t^8.5)/g1^26 - 2*g1^12*t^8.54 + 2*g1^50*t^8.58 + g1^88*t^8.62 + (5*t^8.76)/g1^72 + (6*t^8.81)/g1^34 + 7*g1^4*t^8.85 + 4*g1^42*t^8.89 + 3*g1^80*t^8.93 - t^4.58/(g1^2*y) - t^6.77/(g1^20*y) - (g1^10*t^7.12)/y + t^7.38/(g1^36*y) + (3*g1^2*t^7.42)/y + (3*t^7.73)/(g1^6*y) + (2*g1^32*t^7.77)/y + t^8.04/(g1^14*y) + (g1^24*t^8.08)/y + (4*t^8.34)/(g1^22*y) + (3*g1^16*t^8.39)/y + (2*t^8.65)/(g1^30*y) + (7*g1^8*t^8.69)/y + (g1^46*t^8.73)/y + t^8.96/(g1^38*y) - (t^4.58*y)/g1^2 - (t^6.77*y)/g1^20 - g1^10*t^7.12*y + (t^7.38*y)/g1^36 + 3*g1^2*t^7.42*y + (3*t^7.73*y)/g1^6 + 2*g1^32*t^7.77*y + (t^8.04*y)/g1^14 + g1^24*t^8.08*y + (4*t^8.34*y)/g1^22 + 3*g1^16*t^8.39*y + (2*t^8.65*y)/g1^30 + 7*g1^8*t^8.69*y + g1^46*t^8.73*y + (t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 47100 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6406 | 0.843 | 0.7599 | [X:[], M:[0.9525, 0.8575, 1.0475, 0.7138, 0.8088], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | 2*t^2.14 + t^2.29 + t^2.43 + 2*t^2.57 + 2*t^3.14 + t^3.43 + t^3.71 + t^4. + t^4.14 + 3*t^4.28 + t^4.29 + 2*t^4.43 + 3*t^4.57 + 5*t^4.71 + t^4.85 + 2*t^4.86 + 2*t^5. + 3*t^5.14 + 4*t^5.28 + 2*t^5.43 + 3*t^5.57 + 3*t^5.71 + 2*t^5.85 - t^6. - t^4.57/y - t^4.57*y | detail | |
| 48160 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6221 | 0.8123 | 0.7658 | [X:[], M:[0.9565, 0.8696, 1.0435, 0.6957], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.09 + t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + 5*t^4.7 + 2*t^4.96 + 7*t^5.22 + 3*t^5.48 + 6*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 60555/97336, c: 39535/48668, M1: 22/23, M2: 20/23, M3: 24/23, M4: 16/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46189 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_3$ | 0.6057 | 0.7801 | 0.7765 | [X:[], M:[0.9474, 0.8422, 1.0526], 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 |