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 |
|---|---|---|---|---|---|---|---|---|---|
| 53908 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1q_2$ | 0.6856 | 0.861 | 0.7963 | [X:[], M:[1.147, 1.0546, 0.853, 0.7437, 0.9454, 0.6975], q:[0.3718, 0.4811], qb:[0.5735, 0.7752], phi:[0.4496]] | [X:[], M:[[-14], [22], [14], [-30], [-22], [-12]], q:[[-15], [29]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_5^2$, $ M_6\phi_1q_1^2$, $ M_4\phi_1q_1^2$, $ M_2\phi_1^2$ | . | -1 | t^2.09 + t^2.23 + t^2.56 + t^2.7 + t^2.84 + t^3.16 + t^3.44 + t^3.58 + t^4.05 + 2*t^4.18 + t^4.24 + t^4.32 + t^4.46 + t^4.51 + t^4.65 + 3*t^4.79 + 2*t^4.93 + t^5.07 + t^5.12 + 2*t^5.26 + 2*t^5.39 + 2*t^5.53 + 2*t^5.67 + t^5.81 + t^5.86 - t^6. + 2*t^6.14 + 4*t^6.28 + t^6.33 + 3*t^6.42 + t^6.55 + t^6.69 + 2*t^6.74 + t^6.79 + 4*t^6.88 + t^6.93 + 5*t^7.02 + 3*t^7.16 + t^7.21 + t^7.3 + 2*t^7.35 + t^7.4 + 4*t^7.49 - t^7.54 + 5*t^7.63 + t^7.68 + 4*t^7.76 + 2*t^7.9 + t^7.95 + t^8.04 + 2*t^8.23 + 6*t^8.37 + t^8.47 + 5*t^8.51 - t^8.56 + 3*t^8.65 - 2*t^8.7 + t^8.75 + t^8.79 + t^8.92 + 6*t^8.97 - t^4.35/y - t^6.44/y - t^6.58/y - t^7.05/y + t^7.32/y + (2*t^7.65)/y + (2*t^7.79)/y + (2*t^7.93)/y + t^8.07/y + t^8.12/y + (3*t^8.26)/y + (2*t^8.39)/y + t^8.53/y + t^8.67/y + t^8.72/y + t^8.86/y - t^4.35*y - t^6.44*y - t^6.58*y - t^7.05*y + t^7.32*y + 2*t^7.65*y + 2*t^7.79*y + 2*t^7.93*y + t^8.07*y + t^8.12*y + 3*t^8.26*y + 2*t^8.39*y + t^8.53*y + t^8.67*y + t^8.72*y + t^8.86*y | t^2.09/g1^12 + t^2.23/g1^30 + g1^14*t^2.56 + t^2.7/g1^4 + t^2.84/g1^22 + g1^22*t^3.16 + t^3.44/g1^14 + t^3.58/g1^32 + t^4.05/g1^6 + (2*t^4.18)/g1^24 + g1^56*t^4.24 + t^4.32/g1^42 + t^4.46/g1^60 + g1^20*t^4.51 + g1^2*t^4.65 + (3*t^4.79)/g1^16 + (2*t^4.93)/g1^34 + t^5.07/g1^52 + g1^28*t^5.12 + 2*g1^10*t^5.26 + (2*t^5.39)/g1^8 + (2*t^5.53)/g1^26 + (2*t^5.67)/g1^44 + t^5.81/g1^62 + g1^18*t^5.86 - t^6. + (2*t^6.14)/g1^18 + (4*t^6.28)/g1^36 + g1^44*t^6.33 + (3*t^6.42)/g1^54 + t^6.55/g1^72 + t^6.69/g1^90 + (2*t^6.74)/g1^10 + g1^70*t^6.79 + (4*t^6.88)/g1^28 + g1^52*t^6.93 + (5*t^7.02)/g1^46 + (3*t^7.16)/g1^64 + g1^16*t^7.21 + t^7.3/g1^82 + (2*t^7.35)/g1^2 + g1^78*t^7.4 + (4*t^7.49)/g1^20 - g1^60*t^7.54 + (5*t^7.63)/g1^38 + g1^42*t^7.68 + (4*t^7.76)/g1^56 + (2*t^7.9)/g1^74 + g1^6*t^7.95 + t^8.04/g1^92 + (2*t^8.23)/g1^30 + (6*t^8.37)/g1^48 + g1^112*t^8.47 + (5*t^8.51)/g1^66 - g1^14*t^8.56 + (3*t^8.65)/g1^84 - (2*t^8.7)/g1^4 + g1^76*t^8.75 + t^8.79/g1^102 + t^8.92/g1^120 + (6*t^8.97)/g1^40 - t^4.35/(g1^2*y) - t^6.44/(g1^14*y) - t^6.58/(g1^32*y) - t^7.05/(g1^6*y) + t^7.32/(g1^42*y) + (2*g1^2*t^7.65)/y + (2*t^7.79)/(g1^16*y) + (2*t^7.93)/(g1^34*y) + t^8.07/(g1^52*y) + (g1^28*t^8.12)/y + (3*g1^10*t^8.26)/y + (2*t^8.39)/(g1^8*y) + t^8.53/(g1^26*y) + t^8.67/(g1^44*y) + (g1^36*t^8.72)/y + (g1^18*t^8.86)/y - (t^4.35*y)/g1^2 - (t^6.44*y)/g1^14 - (t^6.58*y)/g1^32 - (t^7.05*y)/g1^6 + (t^7.32*y)/g1^42 + 2*g1^2*t^7.65*y + (2*t^7.79*y)/g1^16 + (2*t^7.93*y)/g1^34 + (t^8.07*y)/g1^52 + g1^28*t^8.12*y + 3*g1^10*t^8.26*y + (2*t^8.39*y)/g1^8 + (t^8.53*y)/g1^26 + (t^8.67*y)/g1^44 + g1^36*t^8.72*y + g1^18*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 56507 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.6987 | 0.8829 | 0.7914 | [X:[], M:[1.1528, 1.0455, 0.8472, 0.7561, 0.9545, 0.7024, 0.8472], q:[0.3781, 0.4691], qb:[0.5764, 0.7748], phi:[0.4504]] | t^2.11 + t^2.27 + 2*t^2.54 + t^2.7 + t^2.86 + t^3.14 + t^3.62 + t^4.05 + t^4.17 + 2*t^4.21 + t^4.38 + t^4.49 + t^4.54 + 2*t^4.65 + 4*t^4.81 + 2*t^4.97 + 3*t^5.08 + t^5.13 + 3*t^5.24 + 3*t^5.4 + t^5.57 + t^5.68 + t^5.73 + t^5.84 + t^5.89 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 56504 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1q_2$ + $ M_4^2$ | 0.5923 | 0.7507 | 0.7891 | [X:[], M:[1.2667, 0.8667, 0.7333, 1.0, 1.1333, 0.8], q:[0.5, 0.2333], qb:[0.6333, 0.7667], phi:[0.4667]] | t^2.2 + t^2.4 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + 3*t^5. + 4*t^5.2 + 3*t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 1777/3000, c: 563/750, M1: 19/15, M2: 13/15, M3: 11/15, M4: 1, M5: 17/15, M6: 4/5, q1: 1/2, q2: 7/30, qb1: 19/30, qb2: 23/30, phi1: 7/15} |
| 56508 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1q_1^2$ | 0.7024 | 0.8899 | 0.7893 | [X:[], M:[1.1568, 1.0393, 0.8432, 0.7646, 0.9607, 0.7058, 0.7844], q:[0.3823, 0.4609], qb:[0.5784, 0.7745], phi:[0.451]] | t^2.12 + t^2.29 + t^2.35 + t^2.53 + t^2.71 + t^2.88 + t^3.12 + t^3.47 + t^4.06 + t^4.12 + 2*t^4.24 + t^4.41 + 2*t^4.47 + t^4.59 + 2*t^4.65 + t^4.71 + 3*t^4.82 + t^4.88 + 2*t^5. + 2*t^5.06 + t^5.18 + 3*t^5.24 + 2*t^5.41 + t^5.47 + 2*t^5.59 + t^5.76 + 2*t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 56506 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1^2$ | 0.6765 | 0.8454 | 0.8002 | [X:[], M:[1.149, 1.0516, 0.851, 0.7478, 0.9484, 0.6991, 1.1003], q:[0.3739, 0.4772], qb:[0.5745, 0.7751], phi:[0.4499]] | t^2.1 + t^2.24 + t^2.55 + t^2.85 + t^3.15 + t^3.3 + t^3.45 + t^3.59 + t^4.05 + 2*t^4.19 + t^4.21 + t^4.34 + t^4.49 + t^4.5 + t^4.65 + 2*t^4.8 + t^4.94 + t^5.09 + t^5.11 + t^5.25 + 2*t^5.4 + 2*t^5.54 + 2*t^5.69 + t^5.84 + t^5.85 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46843 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_5$ | 0.6651 | 0.8215 | 0.8096 | [X:[], M:[1.1482, 1.0528, 0.8518, 0.7461, 0.9472], q:[0.3731, 0.4788], qb:[0.5741, 0.7751], phi:[0.4497]] | t^2.24 + t^2.56 + t^2.7 + t^2.84 + t^3.16 + t^3.44 + t^3.59 + t^3.9 + t^4.05 + t^4.19 + t^4.22 + t^4.48 + t^4.51 + 2*t^4.79 + t^4.94 + t^5.08 + t^5.11 + t^5.25 + 2*t^5.4 + t^5.54 + t^5.68 + t^5.83 + t^5.86 - t^6. - t^4.35/y - t^4.35*y | detail |