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 |
|---|---|---|---|---|---|---|---|---|---|
| 46800 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_2^2$ | 0.5536 | 0.6786 | 0.8158 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 12153/21952, c: 14897/21952, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ M_4q_1\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.14 + t^3. + 2*t^3.21 + 2*t^3.43 + 2*t^3.64 + t^3.86 + t^4.29 + t^4.71 + t^5.14 + 2*t^5.36 + t^5.57 - t^6. + 4*t^6.43 + 4*t^6.64 + 5*t^6.86 + 2*t^7.07 + 3*t^7.29 + 2*t^7.5 + t^7.71 - t^8.14 + 4*t^8.57 - t^4.29/y + t^8.14/y + (2*t^8.36)/y + (2*t^8.57)/y + (2*t^8.79)/y - t^4.29*y + t^8.14*y + 2*t^8.36*y + 2*t^8.57*y + 2*t^8.79*y | t^2.14 + t^3. + t^3.21/g1^2 + g1^2*t^3.21 + 2*t^3.43 + t^3.64/g1^2 + g1^2*t^3.64 + t^3.86 + t^4.29 + t^4.71 + t^5.14 + t^5.36/g1^2 + g1^2*t^5.36 + t^5.57 - t^6. + 2*t^6.43 + t^6.43/g1^4 + g1^4*t^6.43 + (2*t^6.64)/g1^2 + 2*g1^2*t^6.64 + 3*t^6.86 + t^6.86/g1^4 + g1^4*t^6.86 + t^7.07/g1^2 + g1^2*t^7.07 + t^7.29 + t^7.29/g1^4 + g1^4*t^7.29 + t^7.5/g1^2 + g1^2*t^7.5 + t^7.71 - t^8.14 + 2*t^8.57 + t^8.57/g1^4 + g1^4*t^8.57 - t^4.29/y + t^8.14/y + t^8.36/(g1^2*y) + (g1^2*t^8.36)/y + (2*t^8.57)/y + t^8.79/(g1^2*y) + (g1^2*t^8.79)/y - t^4.29*y + t^8.14*y + (t^8.36*y)/g1^2 + g1^2*t^8.36*y + 2*t^8.57*y + (t^8.79*y)/g1^2 + g1^2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 55040 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.5627 | 0.6956 | 0.8089 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.8731], q:[0.7063, 0.8651], qb:[0.2937, 0.4206], phi:[0.4286]] | t^2.14 + t^2.62 + t^3. + t^3.05 + 2*t^3.43 + t^3.48 + t^3.81 + t^3.86 + t^4.29 + t^4.71 + t^4.76 + t^5.14 + t^5.19 + t^5.24 + t^5.57 + t^5.62 + t^5.67 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46713 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 0.698, 1.1563, 0.8437, 1.2291], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.09 + t^2.53 + t^3.47 + 2*t^3.58 + 2*t^3.69 + 2*t^3.8 + t^4.19 + t^4.63 + t^4.84 + t^5.06 + t^5.56 + 2*t^5.67 + t^5.78 - 2*t^6. - t^4.16/y - t^4.16*y | detail |