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 |
|---|---|---|---|---|---|---|---|---|---|
| 46841 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ | 0.6866 | 0.8655 | 0.7932 | [X:[], M:[0.8385, 1.1615, 1.0, 0.677, 0.7578], q:[0.3913, 0.7702], qb:[0.4472, 0.5528], phi:[0.4596]] | [X:[], M:[[-8], [8], [0], [-16], [-12]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_3M_5$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_5$, $ M_3\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | . | -1 | t^2.03 + t^2.27 + t^2.52 + t^2.76 + t^2.83 + t^3. + t^3.48 + t^3.65 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.3 + t^4.38 + 2*t^4.55 + t^4.7 + 2*t^4.79 + t^4.86 + 3*t^5.03 + t^5.11 + 2*t^5.27 + t^5.35 + 2*t^5.52 + t^5.59 + t^5.66 + 2*t^5.76 + 2*t^5.93 - t^6. + 2*t^6.09 + t^6.17 + t^6.24 + 2*t^6.34 + 2*t^6.41 + t^6.48 + 3*t^6.58 + 2*t^6.65 + t^6.73 + 4*t^6.82 + 2*t^6.89 + t^6.97 + t^7.04 + 4*t^7.06 + t^7.14 + t^7.21 + 4*t^7.3 + t^7.38 + t^7.53 + 5*t^7.55 + t^7.62 + t^7.7 + t^7.71 + 4*t^7.79 + t^7.86 + 2*t^7.96 + 2*t^8.03 + 3*t^8.12 + t^8.18 + t^8.2 + t^8.27 + 2*t^8.37 + t^8.42 + 3*t^8.44 + t^8.5 - t^8.52 + 4*t^8.61 + 3*t^8.68 + t^8.76 - 3*t^8.83 + 5*t^8.85 + t^8.91 + 4*t^8.93 - t^4.38/y - t^6.41/y - t^6.65/y - t^7.14/y + t^7.3/y + t^7.55/y + t^7.62/y + (2*t^7.79)/y + t^7.86/y + (2*t^8.03)/y + (2*t^8.11)/y + (2*t^8.27)/y + (2*t^8.35)/y - t^8.44/y + (2*t^8.52)/y + t^8.59/y + (2*t^8.76)/y + t^8.83/y + t^8.93/y - t^4.38*y - t^6.41*y - t^6.65*y - t^7.14*y + t^7.3*y + t^7.55*y + t^7.62*y + 2*t^7.79*y + t^7.86*y + 2*t^8.03*y + 2*t^8.11*y + 2*t^8.27*y + 2*t^8.35*y - t^8.44*y + 2*t^8.52*y + t^8.59*y + 2*t^8.76*y + t^8.83*y + t^8.93*y | t^2.03/g1^16 + t^2.27/g1^12 + t^2.52/g1^8 + t^2.76/g1^4 + g1^22*t^2.83 + t^3. + g1^8*t^3.48 + t^3.65/g1^14 + t^3.89/g1^10 + (2*t^4.06)/g1^32 + g1^20*t^4.21 + t^4.3/g1^28 + t^4.38/g1^2 + (2*t^4.55)/g1^24 + g1^28*t^4.7 + (2*t^4.79)/g1^20 + g1^6*t^4.86 + (3*t^5.03)/g1^16 + g1^10*t^5.11 + (2*t^5.27)/g1^12 + g1^14*t^5.35 + (2*t^5.52)/g1^8 + g1^18*t^5.59 + g1^44*t^5.66 + (2*t^5.76)/g1^4 + (2*t^5.93)/g1^26 - t^6. + (2*t^6.09)/g1^48 + t^6.17/g1^22 + g1^4*t^6.24 + (2*t^6.34)/g1^44 + (2*t^6.41)/g1^18 + g1^8*t^6.48 + (3*t^6.58)/g1^40 + (2*t^6.65)/g1^14 + g1^12*t^6.73 + (4*t^6.82)/g1^36 + (2*t^6.89)/g1^10 + g1^16*t^6.97 + g1^42*t^7.04 + (4*t^7.06)/g1^32 + t^7.14/g1^6 + g1^20*t^7.21 + (4*t^7.3)/g1^28 + t^7.38/g1^2 + g1^50*t^7.53 + (5*t^7.55)/g1^24 + g1^2*t^7.62 + g1^28*t^7.7 + t^7.71/g1^46 + (4*t^7.79)/g1^20 + g1^6*t^7.86 + (2*t^7.96)/g1^42 + (2*t^8.03)/g1^16 + (3*t^8.12)/g1^64 + g1^36*t^8.18 + t^8.2/g1^38 + t^8.27/g1^12 + (2*t^8.37)/g1^60 + g1^40*t^8.42 + (3*t^8.44)/g1^34 + g1^66*t^8.5 - t^8.52/g1^8 + (4*t^8.61)/g1^56 + (3*t^8.68)/g1^30 + t^8.76/g1^4 - 3*g1^22*t^8.83 + (5*t^8.85)/g1^52 + g1^48*t^8.91 + (4*t^8.93)/g1^26 - t^4.38/(g1^2*y) - t^6.41/(g1^18*y) - t^6.65/(g1^14*y) - t^7.14/(g1^6*y) + t^7.3/(g1^28*y) + t^7.55/(g1^24*y) + (g1^2*t^7.62)/y + (2*t^7.79)/(g1^20*y) + (g1^6*t^7.86)/y + (2*t^8.03)/(g1^16*y) + (2*g1^10*t^8.11)/y + (2*t^8.27)/(g1^12*y) + (2*g1^14*t^8.35)/y - t^8.44/(g1^34*y) + (2*t^8.52)/(g1^8*y) + (g1^18*t^8.59)/y + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.83)/y + t^8.93/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.41*y)/g1^18 - (t^6.65*y)/g1^14 - (t^7.14*y)/g1^6 + (t^7.3*y)/g1^28 + (t^7.55*y)/g1^24 + g1^2*t^7.62*y + (2*t^7.79*y)/g1^20 + g1^6*t^7.86*y + (2*t^8.03*y)/g1^16 + 2*g1^10*t^8.11*y + (2*t^8.27*y)/g1^12 + 2*g1^14*t^8.35*y - (t^8.44*y)/g1^34 + (2*t^8.52*y)/g1^8 + g1^18*t^8.59*y + (2*t^8.76*y)/g1^4 + g1^22*t^8.83*y + (t^8.93*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55391 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_6$ | 0.7007 | 0.8906 | 0.7868 | [X:[], M:[0.8343, 1.1657, 1.0, 0.6686, 0.7514, 0.8343], q:[0.395, 0.7707], qb:[0.4393, 0.5607], phi:[0.4586]] | t^2.01 + t^2.25 + 2*t^2.5 + t^2.75 + t^2.87 + t^3. + t^3.63 + t^3.88 + 2*t^4.01 + t^4.24 + t^4.26 + t^4.38 + 3*t^4.51 + t^4.74 + 3*t^4.76 + t^4.87 + 5*t^5.01 + t^5.12 + 3*t^5.25 + 2*t^5.37 + 2*t^5.5 + t^5.62 + t^5.73 + t^5.75 + 2*t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 55059 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_4\phi_1q_1\tilde{q}_1$ | 0.6861 | 0.864 | 0.7941 | [X:[], M:[0.8462, 1.1538, 1.0, 0.6923, 0.7692], q:[0.3846, 0.7692], qb:[0.4615, 0.5385], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + t^3.69 + t^3.92 + 3*t^4.15 + 2*t^4.38 + 3*t^4.62 + 3*t^4.85 + 4*t^5.08 + 3*t^5.31 + 4*t^5.54 + 2*t^5.77 + t^6. - t^4.38/y - t^4.38*y | detail | {a: 24117/35152, c: 15185/17576, M1: 11/13, M2: 15/13, M3: 1, M4: 9/13, M5: 10/13, q1: 5/13, q2: 10/13, qb1: 6/13, qb2: 7/13, phi1: 6/13} |
| 55192 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.7071 | 0.9046 | 0.7817 | [X:[], M:[0.8398, 1.1602, 1.0, 0.6797, 0.7598, 0.7002], q:[0.3901, 0.77], qb:[0.4497, 0.5503], phi:[0.46]] | t^2.04 + t^2.1 + t^2.28 + t^2.52 + t^2.76 + t^2.82 + t^3. + t^3.48 + t^3.66 + 2*t^4.08 + t^4.14 + 2*t^4.2 + t^4.32 + 2*t^4.38 + 2*t^4.56 + t^4.62 + t^4.68 + 2*t^4.8 + 2*t^4.86 + t^4.92 + 3*t^5.04 + 2*t^5.1 + 2*t^5.28 + t^5.34 + 2*t^5.52 + 2*t^5.58 + t^5.64 + 3*t^5.76 + t^5.94 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 55067 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ q_1^2\tilde{q}_2^2$ + $ M_4X_1$ | 0.6625 | 0.8216 | 0.8064 | [X:[1.3636], M:[0.8182, 1.1818, 1.0, 0.6364, 0.7273], q:[0.4091, 0.7727], qb:[0.4091, 0.5909], phi:[0.4545]] | t^2.18 + t^2.45 + t^2.73 + 2*t^3. + 2*t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + t^4.64 + 3*t^4.91 + 3*t^5.18 + t^5.45 + 4*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 14109/21296, c: 17497/21296, X1: 15/11, M1: 9/11, M2: 13/11, M3: 1, M4: 7/11, M5: 8/11, q1: 9/22, q2: 17/22, qb1: 9/22, qb2: 13/22, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46518 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ | 0.668 | 0.8316 | 0.8032 | [X:[], M:[0.8427, 1.1573, 1.0, 0.6854], q:[0.3876, 0.7697], qb:[0.4551, 0.5449], phi:[0.4607]] | t^2.06 + t^2.53 + t^2.76 + t^2.8 + t^3. + t^3.47 + t^3.67 + t^3.71 + t^3.91 + 2*t^4.11 + t^4.18 + t^4.38 + t^4.58 + t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.29 + t^5.33 + 2*t^5.53 + t^5.56 + t^5.6 + 2*t^5.76 + t^5.97 - t^6. - t^4.38/y - t^4.38*y | detail |