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 |
|---|---|---|---|---|---|---|---|---|---|
| 55045 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5M_6$ | 0.641 | 0.791 | 0.8104 | [X:[], M:[1.1587, 0.8826, 0.8413, 0.7174, 0.7587, 1.2413], q:[0.3587, 0.4826], qb:[0.7587, 0.8], phi:[0.4]] | [X:[], M:[[1], [-2], [-1], [2], [1], [-1]], q:[[1], [-2]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_1^2$, $ M_1$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1^4$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_4\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.15 + t^2.4 + t^2.52 + t^2.65 + t^3.35 + t^3.48 + 2*t^3.72 + t^4.1 + t^4.3 + 2*t^4.55 + 2*t^4.68 + t^4.8 + 2*t^4.92 + 2*t^5.05 + t^5.3 + t^5.5 + 2*t^5.75 + 3*t^5.88 - 2*t^6. + 2*t^6.12 + 2*t^6.25 + t^6.46 + t^6.5 + t^6.62 + 3*t^6.7 + t^6.74 + t^6.83 + t^6.95 + 4*t^7.08 + t^7.2 + 6*t^7.45 + t^7.57 + t^7.66 + 2*t^7.82 + 3*t^7.9 + t^7.94 + 2*t^8.03 - 2*t^8.15 + t^8.19 + 3*t^8.28 + t^8.4 - 3*t^8.52 + t^8.61 + t^8.65 + 2*t^8.77 + 3*t^8.86 - t^8.9 - t^4.2/y - t^6.35/y - t^6.6/y - t^6.85/y + (2*t^7.55)/y + t^7.68/y + (2*t^7.8)/y + t^7.92/y + (2*t^8.05)/y + t^8.17/y + t^8.63/y + (4*t^8.88)/y - t^4.2*y - t^6.35*y - t^6.6*y - t^6.85*y + 2*t^7.55*y + t^7.68*y + 2*t^7.8*y + t^7.92*y + 2*t^8.05*y + t^8.17*y + t^8.63*y + 4*t^8.88*y | g1^2*t^2.15 + t^2.4 + t^2.52/g1 + t^2.65/g1^2 + g1^2*t^3.35 + g1*t^3.48 + (2*t^3.72)/g1 + t^4.1/g1^4 + g1^4*t^4.3 + 2*g1^2*t^4.55 + 2*g1*t^4.68 + t^4.8 + (2*t^4.92)/g1 + (2*t^5.05)/g1^2 + t^5.3/g1^4 + g1^4*t^5.5 + 2*g1^2*t^5.75 + 3*g1*t^5.88 - 2*t^6. + (2*t^6.12)/g1 + (2*t^6.25)/g1^2 + g1^6*t^6.46 + t^6.5/g1^4 + t^6.62/g1^5 + 3*g1^4*t^6.7 + t^6.74/g1^6 + g1^3*t^6.83 + g1^2*t^6.95 + 4*g1*t^7.08 + t^7.2 + (6*t^7.45)/g1^2 + t^7.57/g1^3 + g1^6*t^7.66 + (2*t^7.82)/g1^5 + 3*g1^4*t^7.9 + t^7.94/g1^6 + 2*g1^3*t^8.03 - 2*g1^2*t^8.15 + t^8.19/g1^8 + 3*g1*t^8.28 + t^8.4 - (3*t^8.52)/g1 + g1^8*t^8.61 + t^8.65/g1^2 + (2*t^8.77)/g1^3 + 3*g1^6*t^8.86 - t^8.9/g1^4 - t^4.2/y - (g1^2*t^6.35)/y - t^6.6/y - t^6.85/(g1^2*y) + (2*g1^2*t^7.55)/y + (g1*t^7.68)/y + (2*t^7.8)/y + t^7.92/(g1*y) + (2*t^8.05)/(g1^2*y) + t^8.17/(g1^3*y) + (g1^3*t^8.63)/y + (4*g1*t^8.88)/y - t^4.2*y - g1^2*t^6.35*y - t^6.6*y - (t^6.85*y)/g1^2 + 2*g1^2*t^7.55*y + g1*t^7.68*y + 2*t^7.8*y + (t^7.92*y)/g1 + (2*t^8.05*y)/g1^2 + (t^8.17*y)/g1^3 + g1^3*t^8.63*y + 4*g1*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 56705 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5M_6$ + $ M_4^2$ + $ M_2X_1$ | 0.4856 | 0.6106 | 0.7953 | [X:[1.4], M:[1.3, 0.6, 0.7, 1.0, 0.9, 1.1], q:[0.5, 0.2], qb:[0.9, 0.8], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^4.2 + 3*t^4.5 + 2*t^4.8 + 4*t^5.4 + 3*t^5.7 - 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 777/1600, c: 977/1600, X1: 7/5, M1: 13/10, M2: 3/5, M3: 7/10, M4: 1, M5: 9/10, M6: 11/10, q1: 1/2, q2: 1/5, qb1: 9/10, qb2: 4/5, phi1: 2/5} |
| 56706 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5M_6$ + $ M_7\phi_1^2$ | 0.6245 | 0.762 | 0.8196 | [X:[], M:[1.1587, 0.8826, 0.8413, 0.7174, 0.7587, 1.2413, 1.2], q:[0.3587, 0.4826], qb:[0.7587, 0.8], phi:[0.4]] | t^2.15 + t^2.52 + t^2.65 + t^3.35 + t^3.48 + t^3.6 + 2*t^3.72 + t^4.1 + t^4.3 + t^4.55 + 2*t^4.68 + t^4.92 + t^5.05 + t^5.3 + t^5.5 + 2*t^5.75 + 2*t^5.88 - 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47066 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5q_2\tilde{q}_1$ | 0.6598 | 0.8251 | 0.7997 | [X:[], M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.13 + t^2.27 + t^2.4 + t^2.53 + t^2.67 + t^3.33 + t^3.47 + t^3.73 + t^4.14 + t^4.26 + t^4.4 + 3*t^4.53 + 3*t^4.67 + 2*t^4.8 + 3*t^4.93 + 2*t^5.07 + t^5.34 + t^5.46 + t^5.6 + 3*t^5.73 + 2*t^5.87 - t^6. - t^4.2/y - t^4.2*y | detail |