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 |
|---|---|---|---|---|---|---|---|---|---|
| 46729 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | [X:[[6]], M:[[-6], [16], [0], [-10]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_3$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_4q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | . | -2 | t^2.04 + t^2.1 + t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^4.09 + 2*t^4.14 + t^4.19 + t^4.38 + t^4.43 + t^4.57 + t^4.62 + 2*t^4.67 + 2*t^4.81 + 3*t^4.86 + 2*t^5.04 + 3*t^5.1 + 2*t^5.28 + t^5.34 + 5*t^5.52 + t^5.58 + 2*t^5.76 + t^5.81 - 2*t^6. + t^6.05 + t^6.13 + t^6.19 + 3*t^6.24 + t^6.29 + 3*t^6.48 + t^6.53 + t^6.61 + t^6.66 + 2*t^6.72 + 2*t^6.77 + 2*t^6.85 + 3*t^6.9 + 2*t^6.96 + 2*t^7.01 + 2*t^7.09 + 3*t^7.14 + 4*t^7.19 + 2*t^7.33 + t^7.38 + 5*t^7.43 + 5*t^7.57 + 5*t^7.62 + 2*t^7.67 + 3*t^7.81 + 5*t^7.86 + t^8.04 - t^8.1 + 2*t^8.15 + t^8.18 + t^8.23 + 7*t^8.28 + 3*t^8.39 + t^8.58 + t^8.63 + t^8.66 + t^8.71 - 5*t^8.76 + 4*t^8.81 + 2*t^8.87 + 2*t^8.89 + t^8.95 - t^4.38/y - t^6.42/y - t^6.48/y + t^7.38/y + t^7.43/y + t^7.57/y + (2*t^7.62)/y + (2*t^7.81)/y + (3*t^7.86)/y + t^8.04/y + (3*t^8.1)/y + (3*t^8.28)/y + (2*t^8.34)/y - t^8.47/y + (2*t^8.52)/y + (3*t^8.76)/y + (2*t^8.81)/y - t^4.38*y - t^6.42*y - t^6.48*y + t^7.38*y + t^7.43*y + t^7.57*y + 2*t^7.62*y + 2*t^7.81*y + 3*t^7.86*y + t^8.04*y + 3*t^8.1*y + 3*t^8.28*y + 2*t^8.34*y - t^8.47*y + 2*t^8.52*y + 3*t^8.76*y + 2*t^8.81*y | g1^16*t^2.04 + t^2.1/g1^10 + t^2.34/g1^14 + g1^8*t^2.52 + 2*g1^4*t^2.76 + t^3. + t^3.48/g1^8 + t^3.72/g1^12 + g1^32*t^4.09 + 2*g1^6*t^4.14 + t^4.19/g1^20 + g1^2*t^4.38 + t^4.43/g1^24 + g1^24*t^4.57 + t^4.62/g1^2 + (2*t^4.67)/g1^28 + 2*g1^20*t^4.81 + (3*t^4.86)/g1^6 + 2*g1^16*t^5.04 + (3*t^5.1)/g1^10 + 2*g1^12*t^5.28 + t^5.34/g1^14 + 5*g1^8*t^5.52 + t^5.58/g1^18 + 2*g1^4*t^5.76 + t^5.81/g1^22 - 2*t^6. + t^6.05/g1^26 + g1^48*t^6.13 + g1^22*t^6.19 + (3*t^6.24)/g1^4 + t^6.29/g1^30 + (3*t^6.48)/g1^8 + t^6.53/g1^34 + g1^40*t^6.61 + g1^14*t^6.66 + (2*t^6.72)/g1^12 + (2*t^6.77)/g1^38 + 2*g1^36*t^6.85 + 3*g1^10*t^6.9 + (2*t^6.96)/g1^16 + (2*t^7.01)/g1^42 + 2*g1^32*t^7.09 + 3*g1^6*t^7.14 + (4*t^7.19)/g1^20 + 2*g1^28*t^7.33 + g1^2*t^7.38 + (5*t^7.43)/g1^24 + 5*g1^24*t^7.57 + (5*t^7.62)/g1^2 + (2*t^7.67)/g1^28 + 3*g1^20*t^7.81 + (5*t^7.86)/g1^6 + g1^16*t^8.04 - t^8.1/g1^10 + (2*t^8.15)/g1^36 + g1^64*t^8.18 + g1^38*t^8.23 + 7*g1^12*t^8.28 + (3*t^8.39)/g1^40 + t^8.58/g1^18 + t^8.63/g1^44 + g1^56*t^8.66 + g1^30*t^8.71 - 5*g1^4*t^8.76 + (4*t^8.81)/g1^22 + (2*t^8.87)/g1^48 + 2*g1^52*t^8.89 + g1^26*t^8.95 - (g1^2*t^4.38)/y - (g1^18*t^6.42)/y - t^6.48/(g1^8*y) + (g1^2*t^7.38)/y + t^7.43/(g1^24*y) + (g1^24*t^7.57)/y + (2*t^7.62)/(g1^2*y) + (2*g1^20*t^7.81)/y + (3*t^7.86)/(g1^6*y) + (g1^16*t^8.04)/y + (3*t^8.1)/(g1^10*y) + (3*g1^12*t^8.28)/y + (2*t^8.34)/(g1^14*y) - (g1^34*t^8.47)/y + (2*g1^8*t^8.52)/y + (3*g1^4*t^8.76)/y + (2*t^8.81)/(g1^22*y) - g1^2*t^4.38*y - g1^18*t^6.42*y - (t^6.48*y)/g1^8 + g1^2*t^7.38*y + (t^7.43*y)/g1^24 + g1^24*t^7.57*y + (2*t^7.62*y)/g1^2 + 2*g1^20*t^7.81*y + (3*t^7.86*y)/g1^6 + g1^16*t^8.04*y + (3*t^8.1*y)/g1^10 + 3*g1^12*t^8.28*y + (2*t^8.34*y)/g1^14 - g1^34*t^8.47*y + 2*g1^8*t^8.52*y + 3*g1^4*t^8.76*y + (2*t^8.81*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47209 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ | 0.5988 | 0.7618 | 0.7861 | [X:[1.3822], M:[0.6178, 0.6859, 1.0, 0.6963, 1.3141], q:[0.7696, 0.6126], qb:[0.5445, 0.2304], phi:[0.4607]] | t^2.09 + t^2.32 + t^2.53 + 2*t^2.76 + t^3. + t^3.47 + t^3.71 + t^3.94 + t^4.15 + t^4.18 + t^4.41 + t^4.62 + 2*t^4.65 + 3*t^4.85 + t^5.06 + 3*t^5.09 + 2*t^5.29 + t^5.32 + 4*t^5.53 + t^5.56 + t^5.76 + t^5.8 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 46811 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_2X_2$ | 0.5841 | 0.7369 | 0.7927 | [X:[1.3333, 1.4444], M:[0.6667, 0.5556, 1.0, 0.7778], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | 2*t^2.33 + 3*t^2.67 + t^3. + t^3.67 + 2*t^4. + t^4.33 + 3*t^4.67 + 6*t^5. + 9*t^5.33 + t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 757/1296, c: 955/1296, X1: 4/3, X2: 13/9, M1: 2/3, M2: 5/9, M3: 1, M4: 7/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
| 48302 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_2\tilde{q}_1$ + $ M_2X_2$ | 0.6128 | 0.7847 | 0.781 | [X:[1.375, 1.3333], M:[0.625, 0.6667, 1.0, 0.7083, 0.8333], q:[0.7708, 0.6042], qb:[0.5625, 0.2292], phi:[0.4583]] | t^2.12 + t^2.38 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.12 + t^4.25 + t^4.5 + 2*t^4.62 + 2*t^4.75 + 4*t^4.88 + 3*t^5. + 3*t^5.12 + 4*t^5.25 + t^5.38 + 5*t^5.5 + t^5.75 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 1255/2048, c: 1607/2048, X1: 11/8, X2: 4/3, M1: 5/8, M2: 2/3, M3: 1, M4: 17/24, M5: 5/6, q1: 37/48, q2: 29/48, qb1: 9/16, qb2: 11/48, phi1: 11/24} |
| 46903 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_2$ | 0.5966 | 0.7557 | 0.7895 | [X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]] | t^2.18 + 2*t^2.45 + 2*t^2.73 + t^3. + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + 2*t^4.64 + 6*t^4.91 + 5*t^5.18 + 5*t^5.45 + 2*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 105/176, c: 133/176, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46157 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6466 | 0.8508 | 0.76 | [X:[], M:[0.6983, 0.7146, 1.0, 0.7331], q:[0.7587, 0.543], qb:[0.5267, 0.2413], phi:[0.4826]] | t^2.09 + t^2.14 + t^2.2 + t^2.3 + t^2.35 + 2*t^2.9 + t^3. + t^3.21 + t^3.75 + t^4.19 + t^4.24 + 2*t^4.29 + t^4.34 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.61 + 2*t^4.66 + 2*t^4.71 + 2*t^4.99 + 2*t^5.04 + 2*t^5.09 + 3*t^5.2 + 2*t^5.25 + 2*t^5.3 + 2*t^5.35 + t^5.41 + t^5.51 + t^5.56 + 3*t^5.79 + t^5.85 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail |