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 |
|---|---|---|---|---|---|---|---|---|---|
| 4930 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_2M_8$ | 0.6065 | 0.7781 | 0.7795 | [X:[], M:[1.0, 1.018, 0.9639, 1.2545, 0.7094, 0.7455, 1.0361, 0.982], q:[0.2455, 0.7545], qb:[0.5, 0.5361], phi:[0.491]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [8], [-4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ M_8$, $ \phi_1q_1^2$, $ M_1$, $ M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_5M_8$, $ M_5\phi_1q_1^2$, $ M_6M_8$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_8q_1\tilde{q}_2$, $ \phi_1q_1^3\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_8^2$, $ M_8\phi_1q_1^2$, $ \phi_1^2q_1^4$, $ M_1M_8$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_2$ | . | -2 | t^2.13 + t^2.24 + t^2.34 + 2*t^2.95 + t^3. + t^3.11 + t^3.71 + t^3.76 + t^3.82 + t^4.26 + t^4.36 + 3*t^4.47 + 2*t^4.58 + 2*t^4.69 + 2*t^5.07 + 2*t^5.18 + t^5.24 + 2*t^5.29 + 2*t^5.34 + t^5.45 + t^5.84 + 3*t^5.89 + 3*t^5.95 - 2*t^6. + 3*t^6.05 + t^6.16 + t^6.22 + t^6.38 + t^6.49 + 2*t^6.6 + t^6.66 + 4*t^6.71 + 4*t^6.82 - t^6.87 + 3*t^6.93 + 2*t^7.03 + 2*t^7.2 + 2*t^7.31 - t^7.36 + 6*t^7.42 + 2*t^7.53 + 2*t^7.58 + 3*t^7.64 + 3*t^7.69 - t^7.74 + 2*t^7.8 + t^7.97 + 3*t^8.02 + t^8.07 - t^8.13 + 4*t^8.18 - 2*t^8.24 + 5*t^8.29 - 4*t^8.34 + 3*t^8.4 + t^8.45 + 3*t^8.51 + t^8.56 + t^8.62 + 2*t^8.73 + 2*t^8.78 + 5*t^8.84 + 2*t^8.89 - t^8.95 - t^4.47/y - t^6.6/y + t^7.36/y - t^7.42/y + t^7.47/y + t^7.53/y + t^7.58/y + (2*t^8.07)/y + t^8.13/y + (2*t^8.18)/y + (2*t^8.24)/y + (2*t^8.29)/y + (3*t^8.34)/y + t^8.45/y - t^8.73/y + t^8.84/y + (2*t^8.89)/y + (4*t^8.95)/y - t^4.47*y - t^6.6*y + t^7.36*y - t^7.42*y + t^7.47*y + t^7.53*y + t^7.58*y + 2*t^8.07*y + t^8.13*y + 2*t^8.18*y + 2*t^8.24*y + 2*t^8.29*y + 3*t^8.34*y + t^8.45*y - t^8.73*y + t^8.84*y + 2*t^8.89*y + 4*t^8.95*y | t^2.13/g1^9 + t^2.24/g1 + g1^7*t^2.34 + (2*t^2.95)/g1^4 + t^3. + g1^8*t^3.11 + t^3.71/g1^3 + g1*t^3.76 + g1^5*t^3.82 + t^4.26/g1^18 + t^4.36/g1^10 + (3*t^4.47)/g1^2 + 2*g1^6*t^4.58 + 2*g1^14*t^4.69 + (2*t^5.07)/g1^13 + (2*t^5.18)/g1^5 + t^5.24/g1 + 2*g1^3*t^5.29 + 2*g1^7*t^5.34 + g1^15*t^5.45 + t^5.84/g1^12 + (3*t^5.89)/g1^8 + (3*t^5.95)/g1^4 - 2*t^6. + 3*g1^4*t^6.05 + g1^12*t^6.16 + g1^16*t^6.22 + t^6.38/g1^27 + t^6.49/g1^19 + (2*t^6.6)/g1^11 + t^6.66/g1^7 + (4*t^6.71)/g1^3 + 4*g1^5*t^6.82 - g1^9*t^6.87 + 3*g1^13*t^6.93 + 2*g1^21*t^7.03 + (2*t^7.2)/g1^22 + (2*t^7.31)/g1^14 - t^7.36/g1^10 + (6*t^7.42)/g1^6 + 2*g1^2*t^7.53 + 2*g1^6*t^7.58 + 3*g1^10*t^7.64 + 3*g1^14*t^7.69 - g1^18*t^7.74 + 2*g1^22*t^7.8 + t^7.97/g1^21 + (3*t^8.02)/g1^17 + t^8.07/g1^13 - t^8.13/g1^9 + (4*t^8.18)/g1^5 - (2*t^8.24)/g1 + 5*g1^3*t^8.29 - 4*g1^7*t^8.34 + 3*g1^11*t^8.4 + g1^15*t^8.45 + t^8.51/g1^36 + 2*g1^19*t^8.51 + g1^23*t^8.56 + t^8.62/g1^28 + (2*t^8.73)/g1^20 + (2*t^8.78)/g1^16 + (5*t^8.84)/g1^12 + (2*t^8.89)/g1^8 - t^8.95/g1^4 - t^4.47/(g1^2*y) - t^6.6/(g1^11*y) + t^7.36/(g1^10*y) - t^7.42/(g1^6*y) + t^7.47/(g1^2*y) + (g1^2*t^7.53)/y + (g1^6*t^7.58)/y + (2*t^8.07)/(g1^13*y) + t^8.13/(g1^9*y) + (2*t^8.18)/(g1^5*y) + (2*t^8.24)/(g1*y) + (2*g1^3*t^8.29)/y + (3*g1^7*t^8.34)/y + (g1^15*t^8.45)/y - t^8.73/(g1^20*y) + t^8.84/(g1^12*y) + (2*t^8.89)/(g1^8*y) + (4*t^8.95)/(g1^4*y) - (t^4.47*y)/g1^2 - (t^6.6*y)/g1^11 + (t^7.36*y)/g1^10 - (t^7.42*y)/g1^6 + (t^7.47*y)/g1^2 + g1^2*t^7.53*y + g1^6*t^7.58*y + (2*t^8.07*y)/g1^13 + (t^8.13*y)/g1^9 + (2*t^8.18*y)/g1^5 + (2*t^8.24*y)/g1 + 2*g1^3*t^8.29*y + 3*g1^7*t^8.34*y + g1^15*t^8.45*y - (t^8.73*y)/g1^20 + (t^8.84*y)/g1^12 + (2*t^8.89*y)/g1^8 + (4*t^8.95*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6553 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_2M_8$ + $ M_4M_9$ | 0.6258 | 0.8133 | 0.7695 | [X:[], M:[1.0, 1.0191, 0.9619, 1.2548, 0.7071, 0.7452, 1.0381, 0.9809, 0.7452], q:[0.2452, 0.7548], qb:[0.5, 0.5381], phi:[0.4905]] | t^2.12 + 2*t^2.24 + t^2.35 + 2*t^2.94 + t^3. + t^3.11 + t^3.71 + t^3.82 + t^4.24 + 2*t^4.36 + 5*t^4.47 + 3*t^4.59 + 2*t^4.7 + 2*t^5.06 + 4*t^5.18 + 2*t^5.24 + 2*t^5.29 + 3*t^5.35 + t^5.46 + t^5.83 + 2*t^5.89 + 4*t^5.94 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
| 6552 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ + $ M_2M_8$ + $ M_9\phi_1q_1\tilde{q}_1$ | 0.6251 | 0.8117 | 0.7701 | [X:[], M:[1.0, 1.0145, 0.971, 1.2536, 0.7174, 0.7464, 1.029, 0.9855, 0.7609], q:[0.2464, 0.7536], qb:[0.5, 0.529], phi:[0.4928]] | t^2.15 + t^2.24 + t^2.28 + t^2.33 + 2*t^2.96 + t^3. + t^3.09 + t^3.76 + t^3.8 + t^4.3 + t^4.39 + t^4.43 + 3*t^4.48 + t^4.52 + 3*t^4.57 + t^4.61 + 2*t^4.65 + 2*t^5.11 + 2*t^5.2 + 3*t^5.24 + 3*t^5.28 + 2*t^5.33 + t^5.37 + t^5.41 + 3*t^5.91 + 2*t^5.96 - 2*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_3M_7$ | 0.6053 | 0.7765 | 0.7795 | [X:[], M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.19 + t^2.24 + t^2.29 + t^2.98 + t^3. + t^3.02 + t^3.05 + t^3.73 + t^3.76 + t^3.78 + t^4.39 + t^4.44 + 3*t^4.49 + 2*t^4.54 + 2*t^4.59 + t^5.17 + 2*t^5.22 + t^5.24 + 2*t^5.27 + 2*t^5.29 + t^5.32 + t^5.34 + t^5.93 + t^5.95 + 2*t^5.98 - t^6. - t^4.49/y - t^4.49*y | detail |