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 |
|---|---|---|---|---|---|---|---|---|---|
| 45932 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ | 0.57 | 0.6943 | 0.8211 | [X:[], M:[1.0, 1.0], q:[0.5963, 0.4037], qb:[0.4037, 1.0062], phi:[0.3975]] | [X:[], M:[[1, -3], [-1, 3]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$ | $M_1^2$, $ M_2^2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | 1 | t^2.39 + t^2.42 + 2*t^3. + 3*t^3.61 + 2*t^4.23 + t^4.77 + 2*t^4.81 + t^4.84 + 2*t^5.42 + t^6. + 3*t^6.04 - 2*t^6.58 + 4*t^6.61 + 2*t^6.65 + t^7.16 - 2*t^7.19 + 7*t^7.23 + t^7.27 - 2*t^7.81 + 6*t^7.84 - 2*t^8.39 + 6*t^8.46 - t^4.19/y - t^6.58/y + (2*t^7.81)/y + (2*t^8.39)/y + (2*t^8.42)/y - t^8.96/y - t^4.19*y - t^6.58*y + 2*t^7.81*y + 2*t^8.39*y + 2*t^8.42*y - t^8.96*y | t^2.39/g2^4 + g2^6*t^2.42 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + (g1^2*t^3.61)/g2^2 + g2^4*t^3.61 + (g2^10*t^3.61)/g1^2 + g1*g2^5*t^4.23 + (g2^11*t^4.23)/g1 + t^4.77/g2^8 + 2*g2^2*t^4.81 + g2^12*t^4.84 + g1*g2^3*t^5.42 + (g2^9*t^5.42)/g1 - t^6. + (g1^2*t^6.)/g2^6 + (g2^6*t^6.)/g1^2 + g1^2*g2^4*t^6.04 + g2^10*t^6.04 + (g2^16*t^6.04)/g1^2 - (g1*t^6.58)/g2^9 - t^6.58/(g1*g2^3) + (g1^3*t^6.61)/g2^5 + g1*g2*t^6.61 + (g2^7*t^6.61)/g1 + (g2^13*t^6.61)/g1^3 + g1*g2^11*t^6.65 + (g2^17*t^6.65)/g1 + t^7.16/g2^12 - (g1^2*t^7.19)/g2^8 - (g2^4*t^7.19)/g1^2 + (g1^4*t^7.23)/g2^4 + g1^2*g2^2*t^7.23 + 3*g2^8*t^7.23 + (g2^14*t^7.23)/g1^2 + (g2^20*t^7.23)/g1^4 + g2^18*t^7.27 - (g1*t^7.81)/g2 - (g2^5*t^7.81)/g1 + g1^3*g2^3*t^7.84 + 2*g1*g2^9*t^7.84 + (2*g2^15*t^7.84)/g1 + (g2^21*t^7.84)/g1^3 - (2*t^8.39)/g2^4 + g1^2*t^8.42 - 2*g2^6*t^8.42 + (g2^12*t^8.42)/g1^2 + 2*g1^2*g2^10*t^8.46 + 2*g2^16*t^8.46 + (2*g2^22*t^8.46)/g1^2 - t^4.19/(g2^2*y) - t^6.58/(g2^6*y) + (2*g2^2*t^7.81)/y + (g1*t^8.39)/(g2^7*y) + t^8.39/(g1*g2*y) + (g1*g2^3*t^8.42)/y + (g2^9*t^8.42)/(g1*y) - t^8.96/(g2^10*y) - (t^4.19*y)/g2^2 - (t^6.58*y)/g2^6 + 2*g2^2*t^7.81*y + (g1*t^8.39*y)/g2^7 + (t^8.39*y)/(g1*g2) + g1*g2^3*t^8.42*y + (g2^9*t^8.42*y)/g1 - (t^8.96*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46007 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5883 | 0.7268 | 0.8095 | [X:[], M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 - t^4.18/y - t^4.18*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |
| 46018 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.5498 | 0.6599 | 0.8332 | [X:[], M:[1.0566, 0.9434], q:[0.5283, 0.4152], qb:[0.5283, 1.1195], phi:[0.3522]] | t^2.11 + 2*t^2.83 + t^3.17 + t^3.55 + t^3.89 + 2*t^4.23 + t^4.6 + 3*t^4.94 + 3*t^5.66 - t^6. - t^4.06/y - t^4.06*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45854 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ | 0.6487 | 0.7983 | 0.8127 | [X:[], M:[0.6881, 0.6881], q:[0.8426, 0.4693], qb:[0.4693, 0.8036], phi:[0.3538]] | 2*t^2.06 + t^2.12 + t^2.82 + 2*t^3.82 + 3*t^3.88 + 3*t^4.13 + 2*t^4.19 + t^4.25 + 2*t^4.88 + 2*t^4.94 + t^5.63 + 4*t^5.88 + 6*t^5.94 - 2*t^6. - t^4.06/y - t^4.06*y | detail |