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 |
|---|---|---|---|---|---|---|---|---|---|
| 55498 | 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_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_6\phi_1^2$ | 0.6719 | 0.8403 | 0.7997 | [X:[], M:[1.1556, 1.0755, 0.8444, 0.7735, 0.6934, 1.0755], q:[0.3868, 0.4576], qb:[0.5377, 0.7689], phi:[0.4623]] | [X:[], M:[[-5], [4], [5], [-12], [-3], [4]], q:[[-6], [11]], qb:[[2], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ M_6$, $ M_1$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_3M_5$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2M_4$, $ M_1M_5$, $ M_4M_6$, $ M_2M_3$, $ M_3M_6$, $ M_1M_4$, $ M_5\phi_1q_1^2$, $ q_2^2\tilde{q}_1^2$ | $M_5\tilde{q}_1\tilde{q}_2$ | -1 | t^2.08 + t^2.32 + t^2.53 + t^2.99 + 2*t^3.23 + t^3.47 + t^3.71 + t^3.92 + t^4.13 + 2*t^4.16 + t^4.37 + t^4.4 + 2*t^4.61 + t^4.64 + t^4.85 + 2*t^5.07 + 3*t^5.31 + t^5.52 + 2*t^5.55 + t^5.76 + t^5.79 + t^5.97 - t^6. + t^6.03 + 2*t^6.21 + 2*t^6.24 + 4*t^6.45 + 2*t^6.48 + t^6.67 + 4*t^6.69 + t^6.72 + t^6.91 + 2*t^6.93 + t^6.96 + t^7.12 + 2*t^7.15 + t^7.17 + 2*t^7.36 + 3*t^7.39 + t^7.41 + 3*t^7.6 + 3*t^7.63 + 2*t^7.84 + 3*t^7.87 + 2*t^8.05 - t^8.08 + t^8.11 + t^8.26 + 3*t^8.29 + t^8.35 + 2*t^8.51 + 2*t^8.53 + 2*t^8.56 + 2*t^8.75 + 5*t^8.77 + 2*t^8.8 + t^8.96 - t^4.39/y - t^6.47/y - t^6.71/y + t^7.16/y + t^7.4/y + t^7.85/y + (2*t^8.07)/y + (4*t^8.31)/y + t^8.52/y + (2*t^8.55)/y + (2*t^8.76)/y + t^8.79/y - t^4.39*y - t^6.47*y - t^6.71*y + t^7.16*y + t^7.4*y + t^7.85*y + 2*t^8.07*y + 4*t^8.31*y + t^8.52*y + 2*t^8.55*y + 2*t^8.76*y + t^8.79*y | t^2.08/g1^3 + t^2.32/g1^12 + g1^5*t^2.53 + g1^13*t^2.99 + 2*g1^4*t^3.23 + t^3.47/g1^5 + t^3.71/g1^14 + g1^3*t^3.92 + g1^20*t^4.13 + (2*t^4.16)/g1^6 + g1^11*t^4.37 + t^4.4/g1^15 + 2*g1^2*t^4.61 + t^4.64/g1^24 + t^4.85/g1^7 + 2*g1^10*t^5.07 + 3*g1*t^5.31 + g1^18*t^5.52 + (2*t^5.55)/g1^8 + g1^9*t^5.76 + t^5.79/g1^17 + g1^26*t^5.97 - t^6. + t^6.03/g1^26 + 2*g1^17*t^6.21 + (2*t^6.24)/g1^9 + 4*g1^8*t^6.45 + (2*t^6.48)/g1^18 + g1^25*t^6.67 + (4*t^6.69)/g1 + t^6.72/g1^27 + g1^16*t^6.91 + (2*t^6.93)/g1^10 + t^6.96/g1^36 + g1^33*t^7.12 + 2*g1^7*t^7.15 + t^7.17/g1^19 + 2*g1^24*t^7.36 + (3*t^7.39)/g1^2 + t^7.41/g1^28 + 3*g1^15*t^7.6 + (3*t^7.63)/g1^11 + 2*g1^6*t^7.84 + (3*t^7.87)/g1^20 + 2*g1^23*t^8.05 - t^8.08/g1^3 + t^8.11/g1^29 + g1^40*t^8.26 + 3*g1^14*t^8.29 + t^8.35/g1^38 + 2*g1^31*t^8.51 + 2*g1^5*t^8.53 + (2*t^8.56)/g1^21 + 2*g1^22*t^8.75 + (5*t^8.77)/g1^4 + (2*t^8.8)/g1^30 + g1^39*t^8.96 - t^4.39/(g1^2*y) - t^6.47/(g1^5*y) - t^6.71/(g1^14*y) + t^7.16/(g1^6*y) + t^7.4/(g1^15*y) + t^7.85/(g1^7*y) + (2*g1^10*t^8.07)/y + (4*g1*t^8.31)/y + (g1^18*t^8.52)/y + (2*t^8.55)/(g1^8*y) + (2*g1^9*t^8.76)/y + t^8.79/(g1^17*y) - (t^4.39*y)/g1^2 - (t^6.47*y)/g1^5 - (t^6.71*y)/g1^14 + (t^7.16*y)/g1^6 + (t^7.4*y)/g1^15 + (t^7.85*y)/g1^7 + 2*g1^10*t^8.07*y + 4*g1*t^8.31*y + g1^18*t^8.52*y + (2*t^8.55*y)/g1^8 + 2*g1^9*t^8.76*y + (t^8.79*y)/g1^17 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57068 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.6856 | 0.8642 | 0.7934 | [X:[], M:[1.1605, 1.0716, 0.8395, 0.7852, 0.6963, 1.0716, 0.8395], q:[0.3926, 0.4469], qb:[0.5358, 0.7679], phi:[0.4642]] | t^2.09 + t^2.36 + 2*t^2.52 + t^2.95 + 2*t^3.21 + t^3.75 + t^3.91 + t^4.07 + 2*t^4.18 + t^4.34 + t^4.44 + 3*t^4.61 + t^4.71 + 2*t^4.87 + 4*t^5.04 + 3*t^5.3 + 2*t^5.47 + t^5.57 + 3*t^5.73 + t^5.9 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 57069 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_6\phi_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.6926 | 0.8801 | 0.7869 | [X:[], M:[1.155, 1.076, 0.845, 0.7721, 0.693, 1.076, 0.693], q:[0.3861, 0.4589], qb:[0.538, 0.769], phi:[0.462]] | 2*t^2.08 + t^2.32 + t^2.53 + t^2.99 + 2*t^3.23 + t^3.47 + t^3.7 + t^4.14 + 4*t^4.16 + t^4.38 + 2*t^4.4 + 3*t^4.61 + t^4.63 + t^4.85 + 3*t^5.07 + 5*t^5.31 + t^5.53 + 3*t^5.54 + t^5.76 + 2*t^5.78 + t^5.98 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 57067 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_6\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ | 0.6719 | 0.8402 | 0.7997 | [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692, 0.6923, 1.0769], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + t^3. + 2*t^3.23 + t^3.46 + t^3.69 + t^3.92 + 3*t^4.15 + 2*t^4.38 + 3*t^4.62 + t^4.85 + 2*t^5.08 + 3*t^5.31 + 3*t^5.54 + 2*t^5.77 + t^6. - t^4.38/y - t^4.38*y | detail | {a: 23619/35152, c: 14767/17576, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 9/13, M6: 14/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47181 | 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_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ | 0.6791 | 0.8522 | 0.7969 | [X:[], M:[1.1508, 1.0793, 0.8492, 0.762, 0.6905], q:[0.381, 0.4682], qb:[0.5397, 0.7698], phi:[0.4603]] | t^2.07 + t^2.29 + t^2.55 + t^2.76 + t^3.02 + t^3.24 + t^3.45 + t^3.67 + t^3.93 + 2*t^4.14 + t^4.19 + t^4.36 + t^4.4 + t^4.57 + 2*t^4.62 + 2*t^4.83 + t^5.05 + 2*t^5.1 + 3*t^5.31 + 2*t^5.52 + t^5.57 + t^5.74 + t^5.79 + t^5.95 - t^4.38/y - t^4.38*y | detail |