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 |
|---|---|---|---|---|---|---|---|---|---|
| 3988 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_3M_8$ | 0.6784 | 0.8213 | 0.826 | [X:[], M:[0.9998, 1.1428, 1.0002, 1.0002, 0.7142, 0.7142, 1.2858, 0.9998], q:[0.7857, 0.5001], qb:[0.5001, 0.4997], phi:[0.4286]] | [X:[], M:[[14], [4], [-14], [-14], [6], [6], [-6], [14]], q:[[1], [-7]], qb:[[-7], [21]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_1$, $ M_8$, $ M_2$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_1M_6$, $ M_6M_8$, $ M_2M_6$ | $M_1^2$, $ M_4^2$, $ M_6M_7$, $ M_1M_8$, $ M_4M_8$, $ M_8^2$, $ M_6q_1\tilde{q}_2$ | -1 | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + t^4.28 + 6*t^4.29 + 3*t^5.14 + t^5.57 - t^6. + 7*t^6.43 + 3*t^6.86 + 7*t^7.28 + 5*t^7.29 + 4*t^7.71 + 3*t^8.14 + 19*t^8.57 - t^4.29/y - t^6.43/y + (4*t^8.14)/y - t^4.29*y - t^6.43*y + 4*t^8.14*y | g1^6*t^2.14 + t^3./g1^14 + 2*g1^14*t^3. + g1^4*t^3.43 + t^3.86/g1^6 + g1^22*t^3.86 + g1^40*t^4.28 + (3*t^4.29)/g1^16 + 3*g1^12*t^4.29 + t^5.14/g1^8 + 2*g1^20*t^5.14 + g1^10*t^5.57 - 2*t^6. - t^6./g1^28 + 2*g1^28*t^6. + (2*t^6.43)/g1^10 + 4*g1^18*t^6.43 + g1^46*t^6.43 + g1^8*t^6.86 + 2*g1^36*t^6.86 + 5*g1^26*t^7.28 + 2*g1^54*t^7.28 + t^7.29/g1^30 + (4*t^7.29)/g1^2 + t^7.71/g1^12 + 2*g1^16*t^7.71 + g1^44*t^7.71 - g1^6*t^8.14 + 3*g1^34*t^8.14 + g1^62*t^8.14 + (5*t^8.57)/g1^32 + (4*t^8.57)/g1^4 + 6*g1^24*t^8.57 + 3*g1^52*t^8.57 + g1^80*t^8.57 - t^4.29/(g1^2*y) - (g1^4*t^6.43)/y + (2*t^8.14)/(g1^8*y) + (2*g1^20*t^8.14)/y - (t^4.29*y)/g1^2 - g1^4*t^6.43*y + (2*t^8.14*y)/g1^8 + 2*g1^20*t^8.14*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 |
|---|---|---|---|---|---|---|---|---|
| 5525 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ + $ M_3M_8$ + $ M_4M_9$ | 0.6793 | 0.8251 | 0.8233 | [X:[], M:[0.9806, 1.1373, 1.0194, 1.0194, 0.706, 0.706, 1.294, 0.9806, 0.9806], q:[0.7843, 0.5097], qb:[0.5097, 0.4709], phi:[0.4313]] | t^2.12 + 3*t^2.94 + t^3.41 + t^3.77 + t^3.88 + t^4.12 + 3*t^4.24 + 3*t^4.35 + 3*t^5.06 + t^5.53 + 5*t^5.88 - 4*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1599 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ + $ M_1M_3$ | 0.6793 | 0.8216 | 0.8268 | [X:[], M:[1.0198, 1.1485, 0.9802, 0.9802, 0.7228, 0.7228, 1.2772], q:[0.7871, 0.4901], qb:[0.4901, 0.5297], phi:[0.4257]] | t^2.17 + 2*t^2.94 + t^3.06 + t^3.45 + t^3.83 + t^3.95 + 3*t^4.22 + 3*t^4.34 + t^4.46 + 2*t^5.11 + t^5.23 + t^5.61 + t^5.88 - 2*t^6. - t^4.28/y - t^4.28*y | detail |