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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[1, 1], [-1, -1], [-1, 1], [1, -1], [0, 0], [-2, 0]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_1$, $ \phi_1q_2^2$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_3M_6$, $ M_2M_3$, $ M_6\phi_1^2$, $ M_2^2$, $ M_3^2$, $ M_4M_6$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_3$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_1^2$, $ M_6\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ M_5M_6$, $ \phi_1^3q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ M_4\phi_1q_2^2$, $ M_3M_5$, $ M_3\phi_1q_2\tilde{q}_1$ | $\phi_1q_1^2$, $ \phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | -1 | 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. + 2*t^6.05 - t^6.1 + t^6.89 + 2*t^6.94 + 5*t^6.99 + 8*t^7.04 + 9*t^7.1 + 8*t^7.15 + 7*t^7.2 + 6*t^7.25 + t^7.3 + 4*t^7.36 + t^8.09 + 2*t^8.14 + 5*t^8.19 + 4*t^8.24 + 5*t^8.3 - 4*t^8.35 + 2*t^8.4 - 8*t^8.45 - 2*t^8.56 - t^4.2/y - t^6.5/y - (2*t^6.55)/y - (2*t^6.65)/y + (2*t^7.64)/y + (2*t^7.7)/y + (6*t^7.75)/y + (4*t^7.8)/y + (4*t^7.85)/y + (2*t^7.9)/y + (4*t^8.95)/y - t^4.2*y - t^6.5*y - 2*t^6.55*y - 2*t^6.65*y + 2*t^7.64*y + 2*t^7.7*y + 6*t^7.75*y + 4*t^7.8*y + 4*t^7.85*y + 2*t^7.9*y + 4*t^8.95*y | t^2.3/g1^2 + t^2.35/(g1*g2) + (g2*t^2.35)/g1 + t^2.4 + (g1*t^2.45)/g2 + g1*g2*t^2.45 + t^3.5/g1^2 + 2*t^3.6 + t^4.59/g1^4 + t^4.64/(g1^3*g2) + (g2*t^4.64)/g1^3 + (2*t^4.7)/g1^2 + t^4.7/(g1^2*g2^2) + (g2^2*t^4.7)/g1^2 + (2*t^4.75)/(g1*g2) + (2*g2*t^4.75)/g1 + 4*t^4.8 + t^4.8/g2^2 + g2^2*t^4.8 + (g1*t^4.85)/g2 + g1*g2*t^4.85 + g1^2*t^4.9 + (g1^2*t^4.9)/g2^2 + g1^2*g2^2*t^4.9 + t^5.79/g1^4 + t^5.84/(g1^3*g2) + (g2*t^5.84)/g1^3 + (2*t^5.9)/g1^2 + (2*t^5.95)/(g1*g2) + (2*g2*t^5.95)/g1 - t^6. + (g1*t^6.05)/g2 + g1*g2*t^6.05 - g1^2*t^6.1 + t^6.89/g1^6 + t^6.94/(g1^5*g2) + (g2*t^6.94)/g1^5 + (3*t^6.99)/g1^4 + t^6.99/(g1^4*g2^2) + (g2^2*t^6.99)/g1^4 + t^7.04/(g1^3*g2^3) + (3*t^7.04)/(g1^3*g2) + (3*g2*t^7.04)/g1^3 + (g2^3*t^7.04)/g1^3 + (5*t^7.1)/g1^2 + (2*t^7.1)/(g1^2*g2^2) + (2*g2^2*t^7.1)/g1^2 + t^7.15/(g1*g2^3) + (3*t^7.15)/(g1*g2) + (3*g2*t^7.15)/g1 + (g2^3*t^7.15)/g1 + 3*t^7.2 + (2*t^7.2)/g2^2 + 2*g2^2*t^7.2 + (g1*t^7.25)/g2^3 + (2*g1*t^7.25)/g2 + 2*g1*g2*t^7.25 + g1*g2^3*t^7.25 - g1^2*t^7.3 + (g1^2*t^7.3)/g2^2 + g1^2*g2^2*t^7.3 + (g1^3*t^7.36)/g2^3 + (g1^3*t^7.36)/g2 + g1^3*g2*t^7.36 + g1^3*g2^3*t^7.36 + t^8.09/g1^6 + t^8.14/(g1^5*g2) + (g2*t^8.14)/g1^5 + (3*t^8.19)/g1^4 + t^8.19/(g1^4*g2^2) + (g2^2*t^8.19)/g1^4 + (2*t^8.24)/(g1^3*g2) + (2*g2*t^8.24)/g1^3 + t^8.3/g1^2 + (2*t^8.3)/(g1^2*g2^2) + (2*g2^2*t^8.3)/g1^2 - (2*t^8.35)/(g1*g2) - (2*g2*t^8.35)/g1 + t^8.4/g2^2 + g2^2*t^8.4 - (4*g1*t^8.45)/g2 - 4*g1*g2*t^8.45 - 2*g1^2*t^8.5 + (g1^2*t^8.5)/g2^2 + g1^2*g2^2*t^8.5 - (g1^3*t^8.56)/g2 - g1^3*g2*t^8.56 - t^4.2/y - t^6.5/(g1^2*y) - t^6.55/(g1*g2*y) - (g2*t^6.55)/(g1*y) - (g1*t^6.65)/(g2*y) - (g1*g2*t^6.65)/y + t^7.64/(g1^3*g2*y) + (g2*t^7.64)/(g1^3*y) + (2*t^7.7)/(g1^2*y) + (3*t^7.75)/(g1*g2*y) + (3*g2*t^7.75)/(g1*y) + (2*t^7.8)/y + t^7.8/(g2^2*y) + (g2^2*t^7.8)/y + (2*g1*t^7.85)/(g2*y) + (2*g1*g2*t^7.85)/y + (2*g1^2*t^7.9)/y + (2*t^8.9)/(g1^2*y) - t^8.9/(g1^2*g2^2*y) - (g2^2*t^8.9)/(g1^2*y) + (2*t^8.95)/(g1*g2*y) + (2*g2*t^8.95)/(g1*y) - t^4.2*y - (t^6.5*y)/g1^2 - (t^6.55*y)/(g1*g2) - (g2*t^6.55*y)/g1 - (g1*t^6.65*y)/g2 - g1*g2*t^6.65*y + (t^7.64*y)/(g1^3*g2) + (g2*t^7.64*y)/g1^3 + (2*t^7.7*y)/g1^2 + (3*t^7.75*y)/(g1*g2) + (3*g2*t^7.75*y)/g1 + 2*t^7.8*y + (t^7.8*y)/g2^2 + g2^2*t^7.8*y + (2*g1*t^7.85*y)/g2 + 2*g1*g2*t^7.85*y + 2*g1^2*t^7.9*y + (2*t^8.9*y)/g1^2 - (t^8.9*y)/(g1^2*g2^2) - (g2^2*t^8.9*y)/g1^2 + (2*t^8.95*y)/(g1*g2) + (2*g2*t^8.95*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3417 | $M_1q_1q_2$ + $ 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]] | 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^4.2/y - t^4.2*y | detail | |
| 3416 | $M_1q_1q_2$ + $ 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_6^2$ | 0.6195 | 0.782 | 0.7922 | [X:[], M:[0.7, 0.9, 0.9, 0.7, 1.2, 1.0], q:[0.8, 0.5], qb:[0.3, 0.8], phi:[0.4]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 4*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 1239/2000, c: 391/500, M1: 7/10, M2: 9/10, M3: 9/10, M4: 7/10, M5: 6/5, M6: 1, q1: 4/5, q2: 1/2, qb1: 3/10, qb2: 4/5, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1829 | 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$ | 0.6465 | 0.809 | 0.7991 | [X:[], M:[0.8, 0.8, 0.8, 0.8, 1.2], q:[0.8, 0.4], qb:[0.4, 0.8], phi:[0.4]] | 5*t^2.4 + 4*t^3.6 + 16*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1293/2000, c: 809/1000, M1: 4/5, M2: 4/5, M3: 4/5, M4: 4/5, M5: 6/5, q1: 4/5, q2: 2/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |