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 |
|---|---|---|---|---|---|---|---|---|---|
| 1841 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ | 0.6537 | 0.8412 | 0.7771 | [X:[], M:[1.125, 1.125, 0.75, 0.75, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | [X:[], M:[[1], [-1], [0], [2], [-2]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 5355/8192, c: 6891/8192, M1: 9/8, M2: 9/8, M3: 3/4, M4: 3/4, M5: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5^2$, $ M_3M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_4\phi_1^2$, $ M_2M_5$, $ M_5q_1\tilde{q}_1$, $ M_2M_3$, $ M_1M_5$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$ | $M_4q_1q_2$, $ M_5q_1q_2$ | -1 | 4*t^2.25 + t^3. + 4*t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 4*t^5.25 + 14*t^5.62 - t^6. + 6*t^6.38 + 29*t^6.75 - 2*t^7.12 + 10*t^7.5 + 30*t^7.88 - 10*t^8.25 + 12*t^8.62 - t^4.5/y - (3*t^6.75)/y + (2*t^7.12)/y + (6*t^7.5)/y - (2*t^7.88)/y + (7*t^8.25)/y + (16*t^8.62)/y - t^4.5*y - 3*t^6.75*y + 2*t^7.12*y + 6*t^7.5*y - 2*t^7.88*y + 7*t^8.25*y + 16*t^8.62*y | 2*t^2.25 + t^2.25/g1^2 + g1^2*t^2.25 + t^3. + (2*t^3.38)/g1 + 2*g1*t^3.38 + t^3.75 + t^4.12/g1 + g1*t^4.12 + 5*t^4.5 + t^4.5/g1^4 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + g1^4*t^4.5 + 2*t^5.25 + t^5.25/g1^2 + g1^2*t^5.25 + (2*t^5.62)/g1^3 + (5*t^5.62)/g1 + 5*g1*t^5.62 + 2*g1^3*t^5.62 - t^6. + t^6.38/g1^3 + (2*t^6.38)/g1 + 2*g1*t^6.38 + g1^3*t^6.38 + 9*t^6.75 + t^6.75/g1^6 + (2*t^6.75)/g1^4 + (7*t^6.75)/g1^2 + 7*g1^2*t^6.75 + 2*g1^4*t^6.75 + g1^6*t^6.75 - t^7.12/g1 - g1*t^7.12 + 4*t^7.5 + t^7.5/g1^4 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + g1^4*t^7.5 + (2*t^7.88)/g1^5 + (5*t^7.88)/g1^3 + (8*t^7.88)/g1 + 8*g1*t^7.88 + 5*g1^3*t^7.88 + 2*g1^5*t^7.88 - 4*t^8.25 - (3*t^8.25)/g1^2 - 3*g1^2*t^8.25 + t^8.62/g1^5 + (2*t^8.62)/g1^3 + (3*t^8.62)/g1 + 3*g1*t^8.62 + 2*g1^3*t^8.62 + g1^5*t^8.62 - t^4.5/y - t^6.75/y - t^6.75/(g1^2*y) - (g1^2*t^6.75)/y + t^7.12/(g1*y) + (g1*t^7.12)/y + (2*t^7.5)/y + (2*t^7.5)/(g1^2*y) + (2*g1^2*t^7.5)/y - t^7.88/(g1*y) - (g1*t^7.88)/y + (3*t^8.25)/y + (2*t^8.25)/(g1^2*y) + (2*g1^2*t^8.25)/y + (2*t^8.62)/(g1^3*y) + (6*t^8.62)/(g1*y) + (6*g1*t^8.62)/y + (2*g1^3*t^8.62)/y - t^4.5*y - t^6.75*y - (t^6.75*y)/g1^2 - g1^2*t^6.75*y + (t^7.12*y)/g1 + g1*t^7.12*y + 2*t^7.5*y + (2*t^7.5*y)/g1^2 + 2*g1^2*t^7.5*y - (t^7.88*y)/g1 - g1*t^7.88*y + 3*t^8.25*y + (2*t^8.25*y)/g1^2 + 2*g1^2*t^8.25*y + (2*t^8.62*y)/g1^3 + (6*t^8.62*y)/g1 + 6*g1*t^8.62*y + 2*g1^3*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 |
|---|---|---|---|---|---|---|---|---|
| 2864 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_6q_1q_2$ | 0.6727 | 0.8759 | 0.7681 | [X:[], M:[1.125, 1.125, 0.75, 0.75, 0.75, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | 5*t^2.25 + t^3. + 4*t^3.38 + 2*t^4.12 + 16*t^4.5 + 5*t^5.25 + 18*t^5.62 - 5*t^6. - t^4.5/y - t^4.5*y | detail | {a: 5511/8192, c: 7175/8192, M1: 9/8, M2: 9/8, M3: 3/4, M4: 3/4, M5: 3/4, M6: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 399 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6633 | 0.8593 | 0.772 | [X:[], M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.75, 0.4325], qb:[0.4088, 0.4088], phi:[0.5]] | 3*t^2.05 + t^2.45 + t^3. + 4*t^3.48 + t^3.55 + 2*t^4.02 + 7*t^4.09 + 3*t^4.5 + t^4.91 + 3*t^5.05 + t^5.45 + 12*t^5.52 + 3*t^5.59 + 2*t^5.93 - 4*t^6. - t^4.5/y - t^4.5*y | detail |