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 |
|---|---|---|---|---|---|---|---|---|---|
| 46654 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.7058 | 0.934 | 0.7557 | [X:[], M:[0.8301, 0.6794, 0.6699, 0.6699], q:[0.75, 0.4199], qb:[0.4103, 0.4199], phi:[0.5]] | [X:[], M:[[-1], [4], [1], [1]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_2$, $ M_1$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_4$, $ M_2^2$, $ M_1M_3$, $ M_1M_4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.01 + t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + 6*t^4.02 + 2*t^4.05 + t^4.08 + 6*t^4.5 + 5*t^4.53 + t^4.56 + 6*t^4.98 + 5*t^5.01 + 2*t^5.04 + 5*t^5.49 + 4*t^5.52 + t^5.55 + t^5.97 - t^6. + 9*t^6.03 + 6*t^6.06 + 2*t^6.09 + t^6.11 - t^6.48 + 15*t^6.51 + 12*t^6.54 + 5*t^6.57 + t^6.6 + 9*t^6.99 + 15*t^7.02 + 7*t^7.05 + 2*t^7.08 + 6*t^7.47 + 10*t^7.5 + 12*t^7.53 + 5*t^7.56 + t^7.59 + 4*t^7.98 - 2*t^8.01 + 17*t^8.04 + 9*t^8.07 + 6*t^8.1 + 2*t^8.12 + t^8.15 - 10*t^8.49 + 16*t^8.52 + 24*t^8.55 + 12*t^8.58 + 5*t^8.61 + t^8.63 - 5*t^8.97 - t^4.5/y - (2*t^6.51)/y - t^6.54/y - t^6.99/y + t^7.02/y + (2*t^7.05)/y + (6*t^7.5)/y + (5*t^7.53)/y + t^7.56/y + (3*t^7.98)/y + (6*t^8.01)/y + t^8.04/y + t^8.46/y + (7*t^8.49)/y + t^8.52/y - t^8.55/y - t^8.58/y + (3*t^8.97)/y - t^4.5*y - 2*t^6.51*y - t^6.54*y - t^6.99*y + t^7.02*y + 2*t^7.05*y + 6*t^7.5*y + 5*t^7.53*y + t^7.56*y + 3*t^7.98*y + 6*t^8.01*y + t^8.04*y + t^8.46*y + 7*t^8.49*y + t^8.52*y - t^8.55*y - t^8.58*y + 3*t^8.97*y | 2*g1*t^2.01 + g1^4*t^2.04 + (3*t^2.49)/g1 + g1^2*t^2.52 + t^3. + t^3.48/g1^2 + g1*t^3.51 + 6*g1^2*t^4.02 + 2*g1^5*t^4.05 + g1^8*t^4.08 + 6*t^4.5 + 5*g1^3*t^4.53 + g1^6*t^4.56 + (6*t^4.98)/g1^2 + 5*g1*t^5.01 + 2*g1^4*t^5.04 + (5*t^5.49)/g1 + 4*g1^2*t^5.52 + g1^5*t^5.55 + t^5.97/g1^3 - t^6. + 9*g1^3*t^6.03 + 6*g1^6*t^6.06 + 2*g1^9*t^6.09 + g1^12*t^6.11 - t^6.48/g1^2 + 15*g1*t^6.51 + 12*g1^4*t^6.54 + 5*g1^7*t^6.57 + g1^10*t^6.6 + (9*t^6.99)/g1 + 15*g1^2*t^7.02 + 7*g1^5*t^7.05 + 2*g1^8*t^7.08 + (6*t^7.47)/g1^3 + 10*t^7.5 + 12*g1^3*t^7.53 + 5*g1^6*t^7.56 + g1^9*t^7.59 + (4*t^7.98)/g1^2 - 2*g1*t^8.01 + 17*g1^4*t^8.04 + 9*g1^7*t^8.07 + 6*g1^10*t^8.1 + 2*g1^13*t^8.12 + g1^16*t^8.15 - (10*t^8.49)/g1 + 16*g1^2*t^8.52 + 24*g1^5*t^8.55 + 12*g1^8*t^8.58 + 5*g1^11*t^8.61 + g1^14*t^8.63 - (5*t^8.97)/g1^3 - t^4.5/y - (2*g1*t^6.51)/y - (g1^4*t^6.54)/y - t^6.99/(g1*y) + (g1^2*t^7.02)/y + (2*g1^5*t^7.05)/y + (6*t^7.5)/y + (5*g1^3*t^7.53)/y + (g1^6*t^7.56)/y + (3*t^7.98)/(g1^2*y) + (6*g1*t^8.01)/y + (g1^4*t^8.04)/y + t^8.46/(g1^4*y) + (7*t^8.49)/(g1*y) + (g1^2*t^8.52)/y - (g1^5*t^8.55)/y - (g1^8*t^8.58)/y + (3*t^8.97)/(g1^3*y) - t^4.5*y - 2*g1*t^6.51*y - g1^4*t^6.54*y - (t^6.99*y)/g1 + g1^2*t^7.02*y + 2*g1^5*t^7.05*y + 6*t^7.5*y + 5*g1^3*t^7.53*y + g1^6*t^7.56*y + (3*t^7.98*y)/g1^2 + 6*g1*t^8.01*y + g1^4*t^8.04*y + (t^8.46*y)/g1^4 + (7*t^8.49*y)/g1 + g1^2*t^8.52*y - g1^5*t^8.55*y - g1^8*t^8.58*y + (3*t^8.97*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47129 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ | 0.6963 | 0.915 | 0.7609 | [X:[], M:[0.8, 0.8, 0.7, 0.7], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.1 + 4*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 6*t^4.2 + 8*t^4.5 + 12*t^4.8 + 6*t^5.1 + 7*t^5.4 + 5*t^5.7 - t^4.5/y - t^4.5*y | detail | {a: 22281/32000, c: 29281/32000, M1: 4/5, M2: 4/5, M3: 7/10, M4: 7/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 46964 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ | 0.6925 | 0.9093 | 0.7615 | [X:[], M:[0.8231, 0.7074, 0.6769, 0.6769, 1.1463], q:[0.75, 0.4269], qb:[0.3963, 0.4269], phi:[0.5]] | 2*t^2.03 + t^2.12 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + 6*t^4.06 + 2*t^4.15 + t^4.24 + 6*t^4.5 + 3*t^4.59 + 6*t^4.94 + 2*t^5.03 + t^5.12 + 7*t^5.47 + 4*t^5.56 + t^5.65 + 4*t^5.91 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46150 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0.685 | 0.8925 | 0.7675 | [X:[], M:[0.8301, 0.6797, 0.6699], q:[0.75, 0.4199], qb:[0.4101, 0.4199], phi:[0.5]] | t^2.01 + t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + t^3.99 + 4*t^4.02 + t^4.05 + t^4.08 + 3*t^4.5 + 4*t^4.53 + t^4.56 + 6*t^4.98 + 4*t^5.01 + 2*t^5.04 + 4*t^5.49 + 3*t^5.52 + t^5.55 + t^5.97 - t^4.5/y - t^4.5*y | detail |