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 |
|---|---|---|---|---|---|---|---|---|---|
| 47023 | 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_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ + $ M_2M_5$ | 0.6215 | 0.8097 | 0.7675 | [X:[], M:[0.9461, 0.8384, 0.7307, 0.9461, 1.1616], q:[0.7365, 0.3173], qb:[0.4251, 0.4134], phi:[0.5269]] | [X:[], M:[[4], [12], [20], [4], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_4$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3M_5$, $ M_3\phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.19 + t^2.23 + t^2.52 + 2*t^2.84 + t^3.45 + 2*t^3.48 + t^3.77 + t^4.06 + t^4.1 + t^4.13 + 3*t^4.38 + 2*t^4.42 + t^4.45 + 2*t^4.71 + t^4.74 + 5*t^5.03 + 2*t^5.07 + 2*t^5.35 + 2*t^5.64 + 6*t^5.68 + t^5.71 + 2*t^5.96 - t^6. - t^6.04 + 2*t^6.25 + 4*t^6.29 + 3*t^6.32 + t^6.36 + 5*t^6.58 + 4*t^6.61 + t^6.65 + t^6.68 + 5*t^6.9 + 3*t^6.93 + 3*t^6.97 + 8*t^7.22 + 3*t^7.26 + t^7.51 + 6*t^7.55 + 4*t^7.83 + 10*t^7.87 + 2*t^7.9 + t^7.94 + t^8.12 + 4*t^8.16 - 3*t^8.23 + 3*t^8.45 + 7*t^8.48 + 5*t^8.52 + t^8.59 + 7*t^8.77 + 6*t^8.8 - 5*t^8.84 - t^8.87 + t^8.91 - t^4.58/y - t^6.77/y + t^7.38/y + t^7.42/y + (2*t^7.71)/y + (2*t^7.74)/y + (4*t^8.03)/y + (2*t^8.07)/y + (2*t^8.35)/y + t^8.39/y + (2*t^8.64)/y + (6*t^8.68)/y + (2*t^8.71)/y + (2*t^8.96)/y - t^4.58*y - t^6.77*y + t^7.38*y + t^7.42*y + 2*t^7.71*y + 2*t^7.74*y + 4*t^8.03*y + 2*t^8.07*y + 2*t^8.35*y + t^8.39*y + 2*t^8.64*y + 6*t^8.68*y + 2*t^8.71*y + 2*t^8.96*y | 2*g1^20*t^2.19 + t^2.23/g1^18 + g1^12*t^2.52 + 2*g1^4*t^2.84 + g1^26*t^3.45 + (2*t^3.48)/g1^12 + g1^18*t^3.77 + g1^48*t^4.06 + g1^10*t^4.1 + t^4.13/g1^28 + 3*g1^40*t^4.38 + 2*g1^2*t^4.42 + t^4.45/g1^36 + 2*g1^32*t^4.71 + t^4.74/g1^6 + 5*g1^24*t^5.03 + (2*t^5.07)/g1^14 + 2*g1^16*t^5.35 + 2*g1^46*t^5.64 + 6*g1^8*t^5.68 + t^5.71/g1^30 + 2*g1^38*t^5.96 - t^6. - t^6.04/g1^38 + 2*g1^68*t^6.25 + 4*g1^30*t^6.29 + (3*t^6.32)/g1^8 + t^6.36/g1^46 + 5*g1^60*t^6.58 + 4*g1^22*t^6.61 + t^6.65/g1^16 + t^6.68/g1^54 + 5*g1^52*t^6.9 + 3*g1^14*t^6.93 + (3*t^6.97)/g1^24 + 8*g1^44*t^7.22 + 3*g1^6*t^7.26 + g1^74*t^7.51 + 6*g1^36*t^7.55 + 4*g1^66*t^7.83 + 10*g1^28*t^7.87 + (2*t^7.9)/g1^10 + t^7.94/g1^48 + g1^96*t^8.12 + 4*g1^58*t^8.16 - (3*t^8.23)/g1^18 + 3*g1^88*t^8.45 + 7*g1^50*t^8.48 + 5*g1^12*t^8.52 + t^8.59/g1^64 + 7*g1^80*t^8.77 + 6*g1^42*t^8.8 - 5*g1^4*t^8.84 - t^8.87/g1^34 + t^8.91/g1^72 - t^4.58/(g1^2*y) - (g1^18*t^6.77)/y + (g1^40*t^7.38)/y + (g1^2*t^7.42)/y + (2*g1^32*t^7.71)/y + (2*t^7.74)/(g1^6*y) + (4*g1^24*t^8.03)/y + (2*t^8.07)/(g1^14*y) + (2*g1^16*t^8.35)/y + t^8.39/(g1^22*y) + (2*g1^46*t^8.64)/y + (6*g1^8*t^8.68)/y + (2*t^8.71)/(g1^30*y) + (2*g1^38*t^8.96)/y - (t^4.58*y)/g1^2 - g1^18*t^6.77*y + g1^40*t^7.38*y + g1^2*t^7.42*y + 2*g1^32*t^7.71*y + (2*t^7.74*y)/g1^6 + 4*g1^24*t^8.03*y + (2*t^8.07*y)/g1^14 + 2*g1^16*t^8.35*y + (t^8.39*y)/g1^22 + 2*g1^46*t^8.64*y + 6*g1^8*t^8.68*y + (2*t^8.71*y)/g1^30 + 2*g1^38*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 55265 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6409 | 0.8448 | 0.7587 | [X:[], M:[0.9475, 0.8426, 0.7377, 0.9475, 1.1574, 0.7361], q:[0.7369, 0.3156], qb:[0.4205, 0.4221], phi:[0.5262]] | 4*t^2.21 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.48 + t^4.1 + 2*t^4.11 + 7*t^4.42 + 3*t^4.43 + 4*t^4.74 + 4*t^5.05 + 5*t^5.06 + 2*t^5.37 + 3*t^5.68 + 9*t^5.69 - 3*t^6. - t^4.58/y - t^4.58*y | detail | |
| 50832 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ + $ M_2M_5$ + $ q_1q_2\tilde{q}_2^2$ | 0.6155 | 0.7976 | 0.7717 | [X:[], M:[0.9565, 0.8696, 0.7826, 0.9565, 1.1304], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + 2*t^2.35 + t^2.61 + 2*t^2.87 + 2*t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 4*t^4.7 + 4*t^4.96 + 5*t^5.22 + 3*t^5.48 + 5*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 119823/194672, c: 77633/97336, M1: 22/23, M2: 20/23, M3: 18/23, M4: 22/23, M5: 26/23, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46491 | 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_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ | 0.6356 | 0.8354 | 0.7609 | [X:[], M:[0.9443, 0.8329, 0.7215, 0.9443], q:[0.7361, 0.3196], qb:[0.431, 0.4019], phi:[0.5279]] | 2*t^2.16 + t^2.25 + 2*t^2.5 + 2*t^2.83 + t^3.41 + t^3.5 + t^3.75 + t^3.99 + t^4.08 + t^4.17 + 3*t^4.33 + 2*t^4.42 + t^4.5 + 4*t^4.66 + 2*t^4.75 + 7*t^5. + 2*t^5.08 + 4*t^5.33 + 2*t^5.58 + 4*t^5.67 + 3*t^5.91 - t^6. - t^4.58/y - t^4.58*y | detail |