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 |
|---|---|---|---|---|---|---|---|---|---|
| 1243 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.5557 | 0.6885 | 0.8071 | [X:[1.625], M:[0.875, 0.375, 1.0, 0.75, 1.125], q:[0.875, 0.75], qb:[0.25, 0.625], phi:[0.375]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 9105/16384, c: 11281/16384, X1: 13/8, M1: 7/8, M2: 3/8, M3: 1, M4: 3/4, M5: 9/8, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | . | -1 | 2*t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^4.12 + 4*t^4.5 + 5*t^4.88 + 4*t^5.25 + 3*t^5.62 - t^6. + 6*t^6.75 + 7*t^7.12 + 6*t^7.5 + 6*t^7.88 - t^8.25 - 5*t^8.62 - t^4.12/y - (2*t^6.38)/y + t^7.5/y + (6*t^7.88)/y + (3*t^8.25)/y + t^8.62/y - t^4.12*y - 2*t^6.38*y + t^7.5*y + 6*t^7.88*y + 3*t^8.25*y + t^8.62*y | 2*t^2.25 + 2*t^2.62 + t^3. + t^3.38 + t^4.12 + 4*t^4.5 + 5*t^4.88 + 4*t^5.25 + 3*t^5.62 - t^6. + 6*t^6.75 + 7*t^7.12 + 6*t^7.5 + 6*t^7.88 - t^8.25 - 5*t^8.62 - t^4.12/y - (2*t^6.38)/y + t^7.5/y + (6*t^7.88)/y + (3*t^8.25)/y + t^8.62/y - t^4.12*y - 2*t^6.38*y + t^7.5*y + 6*t^7.88*y + 3*t^8.25*y + t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 2304 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_5M_6$ | 0.5669 | 0.7075 | 0.8012 | [X:[1.625], M:[0.875, 0.375, 1.0, 0.75, 1.125, 0.875], q:[0.875, 0.75], qb:[0.25, 0.625], phi:[0.375]] | 2*t^2.25 + 3*t^2.62 + t^3. + t^4.12 + 4*t^4.5 + 7*t^4.88 + 7*t^5.25 + 2*t^5.62 - 3*t^6. - t^4.12/y - t^4.12*y | detail | {a: 1161/2048, c: 1449/2048, X1: 13/8, M1: 7/8, M2: 3/8, M3: 1, M4: 3/4, M5: 9/8, M6: 7/8, q1: 7/8, q2: 3/4, qb1: 1/4, qb2: 5/8, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 761 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ | 0.5673 | 0.7067 | 0.8027 | [X:[1.4481], M:[0.9104, 0.5519, 1.0, 0.8208, 1.0896], q:[0.8396, 0.75], qb:[0.25, 0.5188], phi:[0.4104]] | t^2.31 + 2*t^2.46 + t^2.73 + t^3. + t^3.27 + t^3.81 + t^4.08 + t^4.34 + t^4.61 + 3*t^4.77 + 3*t^4.92 + t^5.04 + t^5.19 + t^5.31 + 2*t^5.46 + t^5.58 + 2*t^5.73 - t^6. - t^4.23/y - t^4.23*y | detail |