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 |
|---|---|---|---|---|---|---|---|---|---|
| 2856 | 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}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6691 | 0.8669 | 0.7718 | [X:[], M:[1.2235, 1.1117, 0.7765, 0.7765, 0.7765, 0.6704], q:[0.75, 0.4148], qb:[0.3617, 0.4735], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-2], [-2], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_4$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_6$, $ M_6q_1\tilde{q}_1$, $ M_6q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | . | -2 | t^2.01 + 3*t^2.33 + t^2.51 + t^3. + 2*t^3.34 + t^3.49 + t^3.83 + t^4.01 + t^4.02 + t^4.16 + 4*t^4.34 + t^4.52 + 6*t^4.66 + 3*t^4.84 + 2*t^5.01 + 3*t^5.33 + 2*t^5.35 + 2*t^5.51 + 5*t^5.66 + 2*t^5.82 + 2*t^5.84 - 2*t^6. + t^6.02 + t^6.03 + 2*t^6.16 + 3*t^6.34 + 4*t^6.35 + 2*t^6.49 + t^6.51 + t^6.53 + 10*t^6.67 + t^6.83 + 4*t^6.85 + 10*t^6.99 - t^7.01 + 2*t^7.02 + 5*t^7.16 - t^7.32 + 6*t^7.34 + 2*t^7.36 - t^7.5 + 3*t^7.52 + 5*t^7.66 + 5*t^7.68 + 3*t^7.84 + 2*t^7.85 + 8*t^7.99 - t^8.01 + t^8.03 + t^8.05 + 3*t^8.15 + 4*t^8.17 - 7*t^8.33 + 5*t^8.35 + 4*t^8.36 + 3*t^8.49 - 2*t^8.51 + t^8.52 + t^8.54 + 4*t^8.66 + 10*t^8.68 + 2*t^8.82 + 3*t^8.84 + 4*t^8.86 - t^4.5/y - t^6.51/y - (2*t^6.83)/y + t^7.16/y + (3*t^7.34)/y + t^7.52/y + (3*t^7.66)/y + (2*t^7.84)/y + t^8.01/y + (2*t^8.17)/y + (3*t^8.33)/y + (2*t^8.35)/y + t^8.49/y + (2*t^8.51)/y - t^8.52/y + (6*t^8.66)/y + (3*t^8.82)/y + t^8.84/y - t^4.5*y - t^6.51*y - 2*t^6.83*y + t^7.16*y + 3*t^7.34*y + t^7.52*y + 3*t^7.66*y + 2*t^7.84*y + t^8.01*y + 2*t^8.17*y + 3*t^8.33*y + 2*t^8.35*y + t^8.49*y + 2*t^8.51*y - t^8.52*y + 6*t^8.66*y + 3*t^8.82*y + t^8.84*y | g1^6*t^2.01 + (3*t^2.33)/g1^2 + g1^3*t^2.51 + t^3. + 2*g1*t^3.34 + t^3.49/g1^3 + t^3.83/g1^2 + g1^3*t^4.01 + g1^12*t^4.02 + t^4.16/g1 + 4*g1^4*t^4.34 + g1^9*t^4.52 + (6*t^4.66)/g1^4 + 3*g1*t^4.84 + 2*g1^6*t^5.01 + (3*t^5.33)/g1^2 + 2*g1^7*t^5.35 + 2*g1^3*t^5.51 + (5*t^5.66)/g1 + (2*t^5.82)/g1^5 + 2*g1^4*t^5.84 - 2*t^6. + g1^9*t^6.02 + g1^18*t^6.03 + (2*t^6.16)/g1^4 + 3*g1*t^6.34 + 4*g1^10*t^6.35 + (2*t^6.49)/g1^3 + g1^6*t^6.51 + g1^15*t^6.53 + 10*g1^2*t^6.67 + t^6.83/g1^2 + 4*g1^7*t^6.85 + (10*t^6.99)/g1^6 - g1^3*t^7.01 + 2*g1^12*t^7.02 + (5*t^7.16)/g1 - t^7.32/g1^5 + 6*g1^4*t^7.34 + 2*g1^13*t^7.36 - t^7.5 + 3*g1^9*t^7.52 + (5*t^7.66)/g1^4 + 5*g1^5*t^7.68 + 3*g1*t^7.84 + 2*g1^10*t^7.85 + (8*t^7.99)/g1^3 - g1^6*t^8.01 + g1^15*t^8.03 + g1^24*t^8.05 + (3*t^8.15)/g1^7 + 4*g1^2*t^8.17 - (7*t^8.33)/g1^2 + 5*g1^7*t^8.35 + 4*g1^16*t^8.36 + (3*t^8.49)/g1^6 - 2*g1^3*t^8.51 + g1^12*t^8.52 + g1^21*t^8.54 + (4*t^8.66)/g1 + 10*g1^8*t^8.68 + (2*t^8.82)/g1^5 + 3*g1^4*t^8.84 + 4*g1^13*t^8.86 - t^4.5/y - (g1^6*t^6.51)/y - (2*t^6.83)/(g1^2*y) + t^7.16/(g1*y) + (3*g1^4*t^7.34)/y + (g1^9*t^7.52)/y + (3*t^7.66)/(g1^4*y) + (2*g1*t^7.84)/y + (g1^6*t^8.01)/y + (2*g1^2*t^8.17)/y + (3*t^8.33)/(g1^2*y) + (2*g1^7*t^8.35)/y + t^8.49/(g1^6*y) + (2*g1^3*t^8.51)/y - (g1^12*t^8.52)/y + (6*t^8.66)/(g1*y) + (3*t^8.82)/(g1^5*y) + (g1^4*t^8.84)/y - t^4.5*y - g1^6*t^6.51*y - (2*t^6.83*y)/g1^2 + (t^7.16*y)/g1 + 3*g1^4*t^7.34*y + g1^9*t^7.52*y + (3*t^7.66*y)/g1^4 + 2*g1*t^7.84*y + g1^6*t^8.01*y + 2*g1^2*t^8.17*y + (3*t^8.33*y)/g1^2 + 2*g1^7*t^8.35*y + (t^8.49*y)/g1^6 + 2*g1^3*t^8.51*y - g1^12*t^8.52*y + (6*t^8.66*y)/g1 + (3*t^8.82*y)/g1^5 + g1^4*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 3422 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_2M_6$ | 0.6464 | 0.8383 | 0.771 | [X:[], M:[1.2857, 1.1429, 0.7143, 0.7143, 0.7143, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]] | 3*t^2.14 + t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 4*t^4.71 + 3*t^4.93 + 4*t^5.14 + 3*t^5.36 + 7*t^5.57 + 4*t^5.79 - t^4.5/y - t^4.5*y | detail | {a: 56757/87808, c: 73613/87808, M1: 9/7, M2: 8/7, M3: 5/7, M4: 5/7, M5: 5/7, M6: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1834 | 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}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6483 | 0.8256 | 0.7853 | [X:[], M:[1.2243, 1.1122, 0.7757, 0.7757, 0.7757], q:[0.75, 0.4135], qb:[0.3622, 0.4743], phi:[0.5]] | 3*t^2.33 + t^2.51 + t^3. + 2*t^3.34 + t^3.49 + t^3.83 + t^3.98 + t^4.01 + t^4.16 + t^4.35 + 6*t^4.65 + 3*t^4.84 + t^5.02 + 3*t^5.33 + t^5.51 + 5*t^5.66 + 2*t^5.82 + t^5.85 - 2*t^6. - t^4.5/y - t^4.5*y | detail |