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 |
|---|---|---|---|---|---|---|---|---|---|
| 3417 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ | 0.6632 | 0.8387 | 0.7908 | [X:[], M:[0.7923, 0.8077, 0.7846, 0.8154, 1.2, 0.7923], q:[0.8116, 0.3961], qb:[0.4039, 0.7884], phi:[0.4]] | [X:[], M:[[2], [-2], [4], [-4], [0], [2]], q:[[-3], [1]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \phi_1q_2^2$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_1M_3$, $ M_3M_6$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_2M_6$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_4^2$, $ M_3\phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_6\phi_1q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_5M_6$, $ \phi_1^3q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | t^2.35 + 2*t^2.38 + t^2.4 + t^2.42 + t^2.45 + t^3.58 + 2*t^3.6 + t^4.71 + 2*t^4.73 + 4*t^4.75 + 3*t^4.78 + 5*t^4.8 + 3*t^4.82 + 2*t^4.85 + t^4.87 + t^4.89 + t^5.93 + 3*t^5.95 + 3*t^5.98 + t^6.02 + t^6.05 + t^7.06 + 2*t^7.08 + 4*t^7.11 + 7*t^7.13 + 7*t^7.15 + 8*t^7.18 + 7*t^7.2 + 3*t^7.22 + 4*t^7.25 + 4*t^7.27 + 2*t^7.29 + t^7.32 + t^7.34 + t^8.28 + 3*t^8.31 + 4*t^8.33 + 2*t^8.35 - 2*t^8.38 + t^8.4 - 3*t^8.42 - 2*t^8.45 + t^8.49 - t^4.2/y - t^6.55/y - (2*t^6.58)/y - t^6.62/y - t^6.65/y + (2*t^7.73)/y + (3*t^7.75)/y + (4*t^7.78)/y + (3*t^7.8)/y + (5*t^7.82)/y + (2*t^7.85)/y + t^7.87/y - t^8.91/y - t^8.93/y + t^8.95/y + (4*t^8.98)/y - t^4.2*y - t^6.55*y - 2*t^6.58*y - t^6.62*y - t^6.65*y + 2*t^7.73*y + 3*t^7.75*y + 4*t^7.78*y + 3*t^7.8*y + 5*t^7.82*y + 2*t^7.85*y + t^7.87*y - t^8.91*y - t^8.93*y + t^8.95*y + 4*t^8.98*y | g1^4*t^2.35 + 2*g1^2*t^2.38 + t^2.4 + t^2.42/g1^2 + t^2.45/g1^4 + g1^2*t^3.58 + 2*t^3.6 + g1^8*t^4.71 + 2*g1^6*t^4.73 + 4*g1^4*t^4.75 + 3*g1^2*t^4.78 + 5*t^4.8 + (3*t^4.82)/g1^2 + (2*t^4.85)/g1^4 + t^4.87/g1^6 + t^4.89/g1^8 + g1^6*t^5.93 + 3*g1^4*t^5.95 + 3*g1^2*t^5.98 + t^6.02/g1^2 + t^6.05/g1^4 + g1^12*t^7.06 + 2*g1^10*t^7.08 + 4*g1^8*t^7.11 + 7*g1^6*t^7.13 + 7*g1^4*t^7.15 + 8*g1^2*t^7.18 + 7*t^7.2 + (3*t^7.22)/g1^2 + (4*t^7.25)/g1^4 + (4*t^7.27)/g1^6 + (2*t^7.29)/g1^8 + t^7.32/g1^10 + t^7.34/g1^12 + g1^10*t^8.28 + 3*g1^8*t^8.31 + 4*g1^6*t^8.33 + 2*g1^4*t^8.35 - 2*g1^2*t^8.38 + t^8.4 - (3*t^8.42)/g1^2 - (2*t^8.45)/g1^4 + t^8.49/g1^8 - t^4.2/y - (g1^4*t^6.55)/y - (2*g1^2*t^6.58)/y - t^6.62/(g1^2*y) - t^6.65/(g1^4*y) + (2*g1^6*t^7.73)/y + (3*g1^4*t^7.75)/y + (4*g1^2*t^7.78)/y + (3*t^7.8)/y + (5*t^7.82)/(g1^2*y) + (2*t^7.85)/(g1^4*y) + t^7.87/(g1^6*y) - (g1^8*t^8.91)/y - (g1^6*t^8.93)/y + (g1^4*t^8.95)/y + (4*g1^2*t^8.98)/y - t^4.2*y - g1^4*t^6.55*y - 2*g1^2*t^6.58*y - (t^6.62*y)/g1^2 - (t^6.65*y)/g1^4 + 2*g1^6*t^7.73*y + 3*g1^4*t^7.75*y + 4*g1^2*t^7.78*y + 3*t^7.8*y + (5*t^7.82*y)/g1^2 + (2*t^7.85*y)/g1^4 + (t^7.87*y)/g1^6 - g1^8*t^8.91*y - g1^6*t^8.93*y + g1^4*t^8.95*y + 4*g1^2*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 3906 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3^2$ + $ M_4X_1$ | 0.599 | 0.7427 | 0.8065 | [X:[1.4], M:[0.9, 0.7, 1.0, 0.6, 1.2, 0.9], q:[0.65, 0.45], qb:[0.35, 0.95], phi:[0.4]] | t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + t^3.9 + 2*t^4.2 + t^4.5 + 4*t^4.8 + 3*t^5.1 + 3*t^5.4 + 2*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19167/32000, c: 23767/32000, X1: 7/5, M1: 9/10, M2: 7/10, M3: 1, M4: 3/5, M5: 6/5, M6: 9/10, q1: 13/20, q2: 9/20, qb1: 7/20, qb2: 19/20, phi1: 2/5} |
| 3902 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_4^2$ + $ M_3X_1$ | 0.6104 | 0.7667 | 0.7962 | [X:[1.4], M:[0.7, 0.9, 0.6, 1.0, 1.2, 0.7], q:[0.95, 0.35], qb:[0.45, 0.65], phi:[0.4]] | 2*t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 4*t^4.2 + 2*t^4.5 + 4*t^4.8 + 3*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19533/32000, c: 24533/32000, X1: 7/5, M1: 7/10, M2: 9/10, M3: 3/5, M4: 1, M5: 6/5, M6: 7/10, q1: 19/20, q2: 7/20, qb1: 9/20, qb2: 13/20, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2853 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6641 | 0.8412 | 0.7894 | [X:[], M:[0.8175, 0.7825, 0.7825, 0.8175, 1.2, 0.7651], q:[0.8, 0.3825], qb:[0.4175, 0.8], phi:[0.4]] | t^2.3 + 2*t^2.35 + t^2.4 + 2*t^2.45 + t^3.5 + 2*t^3.6 + t^4.59 + 2*t^4.64 + 4*t^4.7 + 4*t^4.75 + 6*t^4.8 + 2*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 4*t^5.95 - t^6. - t^4.2/y - t^4.2*y | detail |