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 |
|---|---|---|---|---|---|---|---|---|---|
| 777 | 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}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ | 0.543 | 0.6484 | 0.8375 | [X:[1.6571, 1.3141], M:[1.0, 0.3429, 0.7147, 1.0288, 0.9712], q:[0.6859, 0.9712], qb:[0.3141, 0.6571], phi:[0.3429]] | [X:[[1], [2]], M:[[0], [-1], [-5], [-3], [3]], q:[[-2], [3]], qb:[[2], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ q_2\tilde{q}_2$, $ q_1q_2$, $ X_1$, $ M_3M_5$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_5^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_5$, $ M_1\tilde{q}_1\tilde{q}_2$ | . | -3 | t^2.14 + 2*t^2.91 + t^3. + 2*t^3.94 + t^4.03 + t^4.29 + t^4.88 + t^4.97 + t^5.06 + t^5.14 + 3*t^5.83 + t^5.91 - 3*t^6. + t^6.17 + t^6.43 + 3*t^6.86 + t^6.94 - t^7.03 + t^7.2 + t^7.29 + t^7.8 + 2*t^7.88 + t^7.97 + 2*t^8.06 - 2*t^8.14 + t^8.32 + t^8.58 + 4*t^8.74 + t^8.83 - 5*t^8.91 - t^4.03/y - t^6.17/y + t^7.88/y + (2*t^8.06)/y + t^8.14/y - t^8.32/y + t^8.83/y + (2*t^8.91)/y - t^4.03*y - t^6.17*y + t^7.88*y + 2*t^8.06*y + t^8.14*y - t^8.32*y + t^8.83*y + 2*t^8.91*y | t^2.14/g1^5 + 2*g1^3*t^2.91 + t^3. + 2*g1^2*t^3.94 + t^4.03/g1 + t^4.29/g1^10 + g1^4*t^4.88 + g1*t^4.97 + t^5.06/g1^2 + t^5.14/g1^5 + 3*g1^6*t^5.83 + g1^3*t^5.91 - 3*t^6. + t^6.17/g1^6 + t^6.43/g1^15 + 3*g1^5*t^6.86 + g1^2*t^6.94 - t^7.03/g1 + t^7.2/g1^7 + t^7.29/g1^10 + g1^7*t^7.8 + 2*g1^4*t^7.88 + g1*t^7.97 + (2*t^8.06)/g1^2 - (2*t^8.14)/g1^5 + t^8.32/g1^11 + t^8.58/g1^20 + 4*g1^9*t^8.74 + g1^6*t^8.83 - 5*g1^3*t^8.91 - t^4.03/(g1*y) - t^6.17/(g1^6*y) + (g1^4*t^7.88)/y + (2*t^8.06)/(g1^2*y) + t^8.14/(g1^5*y) - t^8.32/(g1^11*y) + (g1^6*t^8.83)/y + (2*g1^3*t^8.91)/y - (t^4.03*y)/g1 - (t^6.17*y)/g1^6 + g1^4*t^7.88*y + (2*t^8.06*y)/g1^2 + (t^8.14*y)/g1^5 - (t^8.32*y)/g1^11 + g1^6*t^8.83*y + 2*g1^3*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 1263 | $\phi_1q_1q_2$ + $ 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}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5637 | 0.6887 | 0.8185 | [X:[1.6577, 1.3155], M:[1.0, 0.3423, 0.7113, 1.0268, 0.9732, 0.6845], q:[0.6845, 0.9732], qb:[0.3155, 0.6577], phi:[0.3423]] | t^2.05 + t^2.13 + 2*t^2.92 + t^3. + t^3.95 + t^4.03 + t^4.11 + t^4.19 + t^4.27 + t^4.89 + 3*t^4.97 + 2*t^5.05 + t^5.13 + 3*t^5.84 + t^5.92 - 2*t^6. - t^4.03/y - t^4.03*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 |
|---|---|---|---|---|---|---|---|---|---|
| 487 | 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}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ | 0.5731 | 0.6732 | 0.8513 | [X:[1.6989, 1.3978], M:[0.7527, 0.3011, 0.7527, 0.9032, 1.0968], q:[0.8495, 0.8495], qb:[0.3978, 0.6989], phi:[0.3011]] | 2*t^2.26 + 2*t^3.29 + 2*t^4.19 + 3*t^4.52 + 2*t^4.65 + t^5.1 + 2*t^5.55 - 4*t^6. - t^3.9/y - t^3.9*y | detail | {a: 26435/46128, c: 15527/23064, X1: 158/93, X2: 130/93, M1: 70/93, M2: 28/93, M3: 70/93, M4: 28/31, M5: 34/31, q1: 79/93, q2: 79/93, qb1: 37/93, qb2: 65/93, phi1: 28/93} |