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 |
|---|---|---|---|---|---|---|---|---|---|
| 3235 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6843 | 0.896 | 0.7638 | [X:[], M:[1.1141, 0.7718, 0.75, 0.75, 0.7282], q:[0.75, 0.3859], qb:[0.5, 0.3641], phi:[0.5]] | [X:[], M:[[1], [-2], [0], [0], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ q_2\tilde{q}_2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_4M_5$, $ M_5q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_2M_5$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_4$, $ M_2q_2\tilde{q}_2$, $ M_2^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_5$, $ M_5q_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_5q_1q_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1M_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_2q_1\tilde{q}_2$, $ q_1q_2^2\tilde{q}_2$, $ M_2q_1q_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -2 | t^2.18 + 3*t^2.25 + t^2.32 + t^2.59 + t^3. + 2*t^3.34 + t^3.41 + t^4.09 + t^4.16 + t^4.37 + 3*t^4.43 + 8*t^4.5 + 3*t^4.57 + t^4.63 + t^4.78 + 3*t^4.84 + t^4.91 + 2*t^5.18 + 3*t^5.25 + t^5.32 + 2*t^5.53 + 7*t^5.59 + 4*t^5.66 + t^5.72 + t^5.93 - 2*t^6. - t^6.07 + t^6.28 + 3*t^6.34 + 2*t^6.41 + t^6.47 + t^6.55 + 3*t^6.62 + 11*t^6.68 + 15*t^6.75 + 8*t^6.82 + 3*t^6.88 + t^6.95 + t^6.96 + 3*t^7.03 + 5*t^7.09 + t^7.22 + 2*t^7.37 + 6*t^7.43 + 6*t^7.5 + 2*t^7.57 + t^7.63 + 2*t^7.71 + 8*t^7.78 + 14*t^7.84 + 7*t^7.91 + 4*t^7.97 + t^8.04 + t^8.12 + t^8.18 - 8*t^8.25 - 5*t^8.32 - t^8.38 + t^8.46 + 4*t^8.53 + 3*t^8.59 + 2*t^8.66 + 2*t^8.72 + t^8.74 + t^8.79 + 3*t^8.8 + 11*t^8.87 + 20*t^8.93 - t^4.5/y - t^6.68/y - (2*t^6.75)/y - t^6.82/y + t^7.16/y + (3*t^7.43)/y + (4*t^7.5)/y + (3*t^7.57)/y + t^7.78/y + (2*t^7.84)/y + t^7.91/y + (2*t^8.18)/y + (5*t^8.25)/y + (2*t^8.32)/y + (2*t^8.53)/y + (8*t^8.59)/y + (5*t^8.66)/y + t^8.72/y - t^8.87/y - t^4.5*y - t^6.68*y - 2*t^6.75*y - t^6.82*y + t^7.16*y + 3*t^7.43*y + 4*t^7.5*y + 3*t^7.57*y + t^7.78*y + 2*t^7.84*y + t^7.91*y + 2*t^8.18*y + 5*t^8.25*y + 2*t^8.32*y + 2*t^8.53*y + 8*t^8.59*y + 5*t^8.66*y + t^8.72*y - t^8.87*y | g1^2*t^2.18 + 3*t^2.25 + t^2.32/g1^2 + g1*t^2.59 + t^3. + 2*g1*t^3.34 + t^3.41/g1 + g1*t^4.09 + t^4.16/g1 + g1^4*t^4.37 + 3*g1^2*t^4.43 + 8*t^4.5 + (3*t^4.57)/g1^2 + t^4.63/g1^4 + g1^3*t^4.78 + 3*g1*t^4.84 + t^4.91/g1 + 2*g1^2*t^5.18 + 3*t^5.25 + t^5.32/g1^2 + 2*g1^3*t^5.53 + 7*g1*t^5.59 + (4*t^5.66)/g1 + t^5.72/g1^3 + g1^2*t^5.93 - 2*t^6. - t^6.07/g1^2 + g1^3*t^6.28 + 3*g1*t^6.34 + (2*t^6.41)/g1 + t^6.47/g1^3 + g1^6*t^6.55 + 3*g1^4*t^6.62 + 11*g1^2*t^6.68 + 15*t^6.75 + (8*t^6.82)/g1^2 + (3*t^6.88)/g1^4 + t^6.95/g1^6 + g1^5*t^6.96 + 3*g1^3*t^7.03 + 5*g1*t^7.09 + t^7.22/g1^3 + 2*g1^4*t^7.37 + 6*g1^2*t^7.43 + 6*t^7.5 + (2*t^7.57)/g1^2 + t^7.63/g1^4 + 2*g1^5*t^7.71 + 8*g1^3*t^7.78 + 14*g1*t^7.84 + (7*t^7.91)/g1 + (4*t^7.97)/g1^3 + t^8.04/g1^5 + g1^4*t^8.12 + g1^2*t^8.18 - 8*t^8.25 - (5*t^8.32)/g1^2 - t^8.38/g1^4 + g1^5*t^8.46 + 4*g1^3*t^8.53 + 3*g1*t^8.59 + (2*t^8.66)/g1 + (2*t^8.72)/g1^3 + g1^8*t^8.74 + t^8.79/g1^5 + 3*g1^6*t^8.8 + 11*g1^4*t^8.87 + 20*g1^2*t^8.93 - t^4.5/y - (g1^2*t^6.68)/y - (2*t^6.75)/y - t^6.82/(g1^2*y) + t^7.16/(g1*y) + (3*g1^2*t^7.43)/y + (4*t^7.5)/y + (3*t^7.57)/(g1^2*y) + (g1^3*t^7.78)/y + (2*g1*t^7.84)/y + t^7.91/(g1*y) + (2*g1^2*t^8.18)/y + (5*t^8.25)/y + (2*t^8.32)/(g1^2*y) + (2*g1^3*t^8.53)/y + (8*g1*t^8.59)/y + (5*t^8.66)/(g1*y) + t^8.72/(g1^3*y) - (g1^4*t^8.87)/y - t^4.5*y - g1^2*t^6.68*y - 2*t^6.75*y - (t^6.82*y)/g1^2 + (t^7.16*y)/g1 + 3*g1^2*t^7.43*y + 4*t^7.5*y + (3*t^7.57*y)/g1^2 + g1^3*t^7.78*y + 2*g1*t^7.84*y + (t^7.91*y)/g1 + 2*g1^2*t^8.18*y + 5*t^8.25*y + (2*t^8.32*y)/g1^2 + 2*g1^3*t^8.53*y + 8*g1*t^8.59*y + (5*t^8.66*y)/g1 + (t^8.72*y)/g1^3 - g1^4*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 3656 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0.6839 | 0.8948 | 0.7643 | [X:[], M:[1.125, 0.75, 0.75, 0.75, 0.75], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 5*t^2.25 + t^2.62 + t^3. + 3*t^3.38 + 2*t^4.12 + 16*t^4.5 + 5*t^4.88 + 6*t^5.25 + 14*t^5.62 - 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 11205/16384, c: 14661/16384, M1: 9/8, M2: 3/4, M3: 3/4, M4: 3/4, M5: 3/4, q1: 3/4, q2: 3/8, qb1: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2720 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_1$ | 0.6649 | 0.8602 | 0.7729 | [X:[], M:[1.1253, 0.7495, 0.75, 0.75], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]] | 4*t^2.25 + t^2.63 + t^3. + t^3.37 + 2*t^3.38 + t^3.75 + t^4.12 + t^4.13 + 11*t^4.5 + t^4.87 + 3*t^4.88 + 5*t^5.25 + 5*t^5.62 + 6*t^5.63 + 2*t^6. - t^4.5/y - t^4.5*y | detail |