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 |
|---|---|---|---|---|---|---|---|---|---|
| 1507 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_3$ + $ M_5M_6$ | 0.7001 | 0.8588 | 0.8152 | [X:[], M:[1.0, 0.9479, 1.0521, 0.8957, 1.0261, 0.9739], q:[0.487, 0.513], qb:[0.4609, 0.5912], phi:[0.487]] | [X:[], M:[[0], [-4], [4], [-8], [2], [-2]], q:[[-1], [1]], qb:[[-3], [7]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_2M_4$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_4q_1\tilde{q}_2$ | . | -2 | t^2.69 + t^2.84 + 2*t^2.92 + t^3. + t^3.16 + t^3.23 + t^4.23 + t^4.3 + 2*t^4.38 + t^4.46 + t^4.54 + t^4.62 + t^4.7 + t^4.77 + t^5.01 + t^5.37 + t^5.53 + t^5.61 + t^5.69 + t^5.77 + 4*t^5.84 + t^5.92 - 2*t^6. + t^6.08 + t^6.16 + t^6.47 + t^6.91 + t^6.99 + 2*t^7.07 + 3*t^7.15 + 4*t^7.23 + 4*t^7.3 + 3*t^7.38 + t^7.46 + 2*t^7.54 + 2*t^7.62 + 2*t^7.7 + 3*t^7.93 + t^8.01 + t^8.06 - t^8.09 + t^8.16 + t^8.22 + t^8.24 + t^8.3 + t^8.37 + 2*t^8.45 + 3*t^8.53 + 2*t^8.61 + t^8.69 + 5*t^8.77 - 4*t^8.92 - t^4.46/y - t^7.15/y - t^7.38/y + t^7.54/y + t^7.77/y + t^8.53/y + (2*t^8.61)/y + t^8.69/y + (2*t^8.77)/y + (3*t^8.84)/y + (3*t^8.92)/y - t^4.46*y - t^7.15*y - t^7.38*y + t^7.54*y + t^7.77*y + t^8.53*y + 2*t^8.61*y + t^8.69*y + 2*t^8.77*y + 3*t^8.84*y + 3*t^8.92*y | t^2.69/g1^8 + t^2.84/g1^4 + (2*t^2.92)/g1^2 + t^3. + g1^4*t^3.16 + g1^6*t^3.23 + t^4.23/g1^7 + t^4.3/g1^5 + (2*t^4.38)/g1^3 + t^4.46/g1 + g1*t^4.54 + g1^3*t^4.62 + g1^5*t^4.7 + g1^7*t^4.77 + g1^13*t^5.01 + t^5.37/g1^16 + t^5.53/g1^12 + t^5.61/g1^10 + t^5.69/g1^8 + t^5.77/g1^6 + (4*t^5.84)/g1^4 + t^5.92/g1^2 - 2*t^6. + g1^2*t^6.08 + g1^4*t^6.16 + g1^12*t^6.47 + t^6.91/g1^15 + t^6.99/g1^13 + (2*t^7.07)/g1^11 + (3*t^7.15)/g1^9 + (4*t^7.23)/g1^7 + (4*t^7.3)/g1^5 + (3*t^7.38)/g1^3 + t^7.46/g1 + 2*g1*t^7.54 + 2*g1^3*t^7.62 + 2*g1^5*t^7.7 + 3*g1^11*t^7.93 + g1^13*t^8.01 + t^8.06/g1^24 - g1^15*t^8.09 + g1^17*t^8.16 + t^8.22/g1^20 + g1^19*t^8.24 + t^8.3/g1^18 + t^8.37/g1^16 + (2*t^8.45)/g1^14 + (3*t^8.53)/g1^12 + (2*t^8.61)/g1^10 + t^8.69/g1^8 + (5*t^8.77)/g1^6 - (4*t^8.92)/g1^2 - t^4.46/(g1*y) - t^7.15/(g1^9*y) - t^7.38/(g1^3*y) + (g1*t^7.54)/y + (g1^7*t^7.77)/y + t^8.53/(g1^12*y) + (2*t^8.61)/(g1^10*y) + t^8.69/(g1^8*y) + (2*t^8.77)/(g1^6*y) + (3*t^8.84)/(g1^4*y) + (3*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.15*y)/g1^9 - (t^7.38*y)/g1^3 + g1*t^7.54*y + g1^7*t^7.77*y + (t^8.53*y)/g1^12 + (2*t^8.61*y)/g1^10 + (t^8.69*y)/g1^8 + (2*t^8.77*y)/g1^6 + (3*t^8.84*y)/g1^4 + (3*t^8.92*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2602 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_3$ + $ M_5M_6$ + $ M_3M_7$ | 0.7056 | 0.8691 | 0.8119 | [X:[], M:[1.0, 0.9336, 1.0664, 0.8672, 1.0332, 0.9668, 0.9336], q:[0.4834, 0.5166], qb:[0.4502, 0.6162], phi:[0.4834]] | t^2.6 + 2*t^2.8 + 2*t^2.9 + t^3. + t^3.3 + t^4.15 + t^4.25 + 2*t^4.35 + t^4.45 + t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^5.15 + t^5.2 + 2*t^5.4 + t^5.5 + 3*t^5.6 + 3*t^5.7 + 4*t^5.8 + t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 970 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_3$ | 0.6978 | 0.8548 | 0.8164 | [X:[], M:[1.0, 0.9552, 1.0448, 0.9105, 1.0224], q:[0.4888, 0.5112], qb:[0.4664, 0.5784], phi:[0.4888]] | t^2.73 + t^2.87 + t^2.93 + t^3. + t^3.07 + t^3.13 + t^3.2 + t^4.26 + t^4.33 + 2*t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.94 + t^5.46 + t^5.6 + t^5.73 + t^5.8 + 2*t^5.87 + t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail |