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 |
|---|---|---|---|---|---|---|---|---|---|
| 55409 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_6\phi_1q_1q_2$ | 0.6955 | 0.8765 | 0.7936 | [X:[], M:[1.1645, 1.013, 0.8355, 0.7763, 0.8355, 0.7172], q:[0.3882, 0.4473], qb:[0.5988, 0.7763], phi:[0.4473]] | [X:[], M:[[3], [-18], [-3], [2], [-3], [7]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_6$, $ M_5M_6$, $ M_3M_4$, $ M_4M_5$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6q_2\tilde{q}_1$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_6\phi_1q_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | . | -2 | t^2.15 + t^2.33 + 2*t^2.51 + t^2.68 + t^3.04 + t^3.14 + t^3.67 + t^4.03 + t^4.13 + 2*t^4.3 + 2*t^4.48 + 3*t^4.66 + 3*t^4.84 + t^4.93 + 4*t^5.01 + 3*t^5.19 + t^5.29 + t^5.37 + t^5.47 + t^5.55 + 2*t^5.64 + t^5.72 + t^5.82 - 2*t^6. + t^6.08 + 2*t^6.18 + 2*t^6.28 + t^6.36 + 2*t^6.45 + t^6.53 + 3*t^6.63 + t^6.71 + 6*t^6.81 - t^6.89 + 4*t^6.99 + t^7.07 + t^7.09 + 6*t^7.16 + 2*t^7.26 + 5*t^7.34 + 3*t^7.44 + 6*t^7.52 + 2*t^7.62 + 5*t^7.7 + t^7.8 + 2*t^7.87 + 2*t^7.97 + 3*t^8.05 + t^8.07 + 2*t^8.23 - t^8.33 + 2*t^8.41 + 2*t^8.43 - 4*t^8.51 + t^8.58 + 4*t^8.61 - t^8.68 + t^8.76 + 4*t^8.78 + t^8.86 + 6*t^8.96 - t^4.34/y - t^6.49/y - t^6.67/y - t^6.85/y - t^7.03/y + t^7.3/y - t^7.38/y + t^7.48/y + (3*t^7.66)/y + (4*t^7.84)/y + (3*t^8.01)/y + (4*t^8.19)/y + t^8.29/y + t^8.37/y + t^8.47/y + (2*t^8.55)/y + t^8.64/y + t^8.72/y + t^8.82/y - t^4.34*y - t^6.49*y - t^6.67*y - t^6.85*y - t^7.03*y + t^7.3*y - t^7.38*y + t^7.48*y + 3*t^7.66*y + 4*t^7.84*y + 3*t^8.01*y + 4*t^8.19*y + t^8.29*y + t^8.37*y + t^8.47*y + 2*t^8.55*y + t^8.64*y + t^8.72*y + t^8.82*y | g1^7*t^2.15 + g1^2*t^2.33 + (2*t^2.51)/g1^3 + t^2.68/g1^8 + t^3.04/g1^18 + g1^13*t^3.14 + t^3.67/g1^2 + t^4.03/g1^12 + g1^19*t^4.13 + 2*g1^14*t^4.3 + 2*g1^9*t^4.48 + 3*g1^4*t^4.66 + (3*t^4.84)/g1 + g1^30*t^4.93 + (4*t^5.01)/g1^6 + (3*t^5.19)/g1^11 + g1^20*t^5.29 + t^5.37/g1^16 + g1^15*t^5.47 + t^5.55/g1^21 + 2*g1^10*t^5.64 + t^5.72/g1^26 + g1^5*t^5.82 - 2*t^6. + t^6.08/g1^36 + (2*t^6.18)/g1^5 + 2*g1^26*t^6.28 + t^6.36/g1^10 + 2*g1^21*t^6.45 + t^6.53/g1^15 + 3*g1^16*t^6.63 + t^6.71/g1^20 + 6*g1^11*t^6.81 - t^6.89/g1^25 + 4*g1^6*t^6.99 + t^7.07/g1^30 + g1^37*t^7.09 + 6*g1*t^7.16 + 2*g1^32*t^7.26 + (5*t^7.34)/g1^4 + 3*g1^27*t^7.44 + (6*t^7.52)/g1^9 + 2*g1^22*t^7.62 + (5*t^7.7)/g1^14 + g1^17*t^7.8 + (2*t^7.87)/g1^19 + 2*g1^12*t^7.97 + (3*t^8.05)/g1^24 + g1^43*t^8.07 + (2*t^8.23)/g1^29 - g1^2*t^8.33 + (2*t^8.41)/g1^34 + 2*g1^33*t^8.43 - (4*t^8.51)/g1^3 + t^8.58/g1^39 + 4*g1^28*t^8.61 - t^8.68/g1^8 + t^8.76/g1^44 + 4*g1^23*t^8.78 + t^8.86/g1^13 + 6*g1^18*t^8.96 - t^4.34/(g1^4*y) - (g1^3*t^6.49)/y - t^6.67/(g1^2*y) - t^6.85/(g1^7*y) - t^7.03/(g1^12*y) + (g1^14*t^7.3)/y - t^7.38/(g1^22*y) + (g1^9*t^7.48)/y + (3*g1^4*t^7.66)/y + (4*t^7.84)/(g1*y) + (3*t^8.01)/(g1^6*y) + (4*t^8.19)/(g1^11*y) + (g1^20*t^8.29)/y + t^8.37/(g1^16*y) + (g1^15*t^8.47)/y + (2*t^8.55)/(g1^21*y) + (g1^10*t^8.64)/y + t^8.72/(g1^26*y) + (g1^5*t^8.82)/y - (t^4.34*y)/g1^4 - g1^3*t^6.49*y - (t^6.67*y)/g1^2 - (t^6.85*y)/g1^7 - (t^7.03*y)/g1^12 + g1^14*t^7.3*y - (t^7.38*y)/g1^22 + g1^9*t^7.48*y + 3*g1^4*t^7.66*y + (4*t^7.84*y)/g1 + (3*t^8.01*y)/g1^6 + (4*t^8.19*y)/g1^11 + g1^20*t^8.29*y + (t^8.37*y)/g1^16 + g1^15*t^8.47*y + (2*t^8.55*y)/g1^21 + g1^10*t^8.64*y + (t^8.72*y)/g1^26 + g1^5*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 56999 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_6\phi_1q_1q_2$ + $ M_2\phi_1^2$ | 0.6924 | 0.8751 | 0.7912 | [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692, 0.8462, 0.6923], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.08 + t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.69 + t^3.92 + 3*t^4.15 + 2*t^4.38 + 4*t^4.62 + 3*t^4.85 + 5*t^5.08 + 4*t^5.31 + 3*t^5.54 + 2*t^5.77 + t^6. - t^4.38/y - t^4.38*y | detail | {a: 24339/35152, c: 30761/35152, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 11/13, M6: 9/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| 57000 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ + $ M_6\phi_1q_1q_2$ + $ M_7\phi_1^2$ | 0.6865 | 0.8622 | 0.7962 | [X:[], M:[1.1603, 1.0381, 0.8397, 0.7735, 0.8397, 0.7074, 1.0942], q:[0.3868, 0.4529], qb:[0.5751, 0.7735], phi:[0.4529]] | t^2.12 + t^2.32 + 2*t^2.52 + t^3.08 + t^3.11 + t^3.28 + t^3.68 + t^4.05 + t^4.08 + 2*t^4.24 + 2*t^4.44 + 3*t^4.64 + t^4.81 + 2*t^4.84 + 3*t^5.04 + t^5.21 + t^5.24 + 2*t^5.4 + 3*t^5.6 + t^5.63 + 2*t^5.8 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46934 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ | 0.6754 | 0.8386 | 0.8054 | [X:[], M:[1.1657, 1.006, 0.8343, 0.7771, 0.8343], q:[0.3886, 0.4458], qb:[0.6055, 0.7771], phi:[0.4458]] | t^2.33 + 2*t^2.5 + t^2.67 + t^3.02 + t^3.15 + t^3.67 + t^3.84 + t^4.01 + t^4.15 + t^4.32 + t^4.49 + t^4.66 + 2*t^4.83 + t^4.97 + 4*t^5.01 + 2*t^5.18 + t^5.35 + t^5.49 + t^5.52 + 2*t^5.66 + t^5.69 - 2*t^6. - t^4.34/y - t^4.34*y | detail |