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 |
|---|---|---|---|---|---|---|---|---|---|
| 372 | 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$ | 0.7103 | 0.8687 | 0.8177 | [X:[], M:[0.9326, 0.9326, 0.9326, 0.9326, 1.0674], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | [X:[], M:[[4, 6, 1], [0, -2, -1], [6, 4, 1], [-2, 0, -1], [-2, -2, 0]], q:[[-6, -6, -1], [2, 0, 0]], qb:[[0, 2, 0], [0, 0, 1]], phi:[[1, 1, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_4$, $ M_2$, $ M_3$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_1M_4$, $ M_4^2$, $ M_2^2$, $ M_2M_4$, $ M_3^2$, $ M_1M_3$, $ M_1^2$ | $M_1M_5$, $ M_2M_5$, $ M_3M_5$, $ M_4M_5$ | -3 | 5*t^2.8 + t^3.2 + t^3.61 + 3*t^4.2 + 4*t^4.6 + 3*t^5.01 + 11*t^5.6 - 3*t^6. + t^6.4 + t^6.81 + 11*t^6.99 + t^7.21 + 9*t^7.4 + 7*t^7.8 + 23*t^8.39 + 3*t^8.61 - 14*t^8.8 - t^4.4/y - (4*t^7.2)/y + (4*t^7.6)/y + (10*t^8.6)/y - t^4.4*y - 4*t^7.2*y + 4*t^7.6*y + 10*t^8.6*y | g1^2*g2^2*t^2.8 + t^2.8/(g1^2*g3) + t^2.8/(g2^2*g3) + g1^6*g2^4*g3*t^2.8 + g1^4*g2^6*g3*t^2.8 + t^3.2/(g1^2*g2^2) + t^3.61/(g1^6*g2^6) + g1^5*g2*t^4.2 + g1^3*g2^3*t^4.2 + g1*g2^5*t^4.2 + t^4.6/(g1^3*g2^5*g3) + t^4.6/(g1^5*g2^3*g3) + g1^3*g2*g3*t^4.6 + g1*g2^3*g3*t^4.6 + t^5.01/(g1^5*g2^5) + t^5.01/(g1^11*g2^11*g3^2) + g1*g2*g3^2*t^5.01 + g1^6*g2^2*t^5.6 + 3*g1^4*g2^4*t^5.6 + g1^2*g2^6*t^5.6 + t^5.6/(g1^4*g3^2) + t^5.6/(g2^4*g3^2) + t^5.6/(g1^2*g2^2*g3^2) + g1^12*g2^8*g3^2*t^5.6 + g1^10*g2^10*g3^2*t^5.6 + g1^8*g2^12*g3^2*t^5.6 - 3*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 - t^6./(g1^6*g2^6*g3^2) + t^6./(g1^2*g2^4*g3) + t^6./(g1^4*g2^2*g3) + g1^4*g2^2*g3*t^6. + g1^2*g2^4*g3*t^6. - g1^6*g2^6*g3^2*t^6. + t^6.4/(g1^4*g2^4) + t^6.81/(g1^8*g2^8) + g1^7*g2^3*t^6.99 + g1^5*g2^5*t^6.99 + g1^3*g2^7*t^6.99 + (g1^5*t^6.99)/(g2*g3) + (g1^3*g2*t^6.99)/g3 + (g1*g2^3*t^6.99)/g3 + (g2^5*t^6.99)/(g1*g3) + g1^11*g2^5*g3*t^6.99 + g1^9*g2^7*g3*t^6.99 + g1^7*g2^9*g3*t^6.99 + g1^5*g2^11*g3*t^6.99 + t^7.21/(g1^12*g2^12) + (g1^3*t^7.4)/g2 + g1*g2*t^7.4 + (g2^3*t^7.4)/g1 + t^7.4/(g1^3*g2^7*g3^2) + t^7.4/(g1^5*g2^5*g3^2) + t^7.4/(g1^7*g2^3*g3^2) + g1^9*g2^5*g3^2*t^7.4 + g1^7*g2^7*g3^2*t^7.4 + g1^5*g2^9*g3^2*t^7.4 - t^7.8/(g1^3*g2^3) + t^7.8/(g1^11*g2^13*g3^3) + t^7.8/(g1^13*g2^11*g3^3) + t^7.8/(g1^5*g2^7*g3) + t^7.8/(g1^7*g2^5*g3) + (g1*g3*t^7.8)/g2 + (g2*g3*t^7.8)/g1 + g1^7*g2^5*g3^3*t^7.8 + g1^5*g2^7*g3^3*t^7.8 + g1^10*g2^2*t^8.39 + g1^6*g2^6*t^8.39 + g1^2*g2^10*t^8.39 + t^8.39/(g1^6*g3^3) + t^8.39/(g2^6*g3^3) + t^8.39/(g1^2*g2^4*g3^3) + t^8.39/(g1^4*g2^2*g3^3) + (g1^6*t^8.39)/g3 + (2*g1^4*g2^2*t^8.39)/g3 + (2*g1^2*g2^4*t^8.39)/g3 + (g2^6*t^8.39)/g3 + g1^12*g2^6*g3*t^8.39 + 2*g1^10*g2^8*g3*t^8.39 + 2*g1^8*g2^10*g3*t^8.39 + g1^6*g2^12*g3*t^8.39 + g1^18*g2^12*g3^3*t^8.39 + g1^16*g2^14*g3^3*t^8.39 + g1^14*g2^16*g3^3*t^8.39 + g1^12*g2^18*g3^3*t^8.39 + t^8.61/(g1^11*g2^11) + t^8.61/(g1^17*g2^17*g3^2) + (g3^2*t^8.61)/(g1^5*g2^5) - t^8.8/(g1^6*g2^8*g3^3) - t^8.8/(g1^8*g2^6*g3^3) + t^8.8/(g1^2*g2^6*g3^2) + t^8.8/(g1^4*g2^4*g3^2) + t^8.8/(g1^6*g2^2*g3^2) - (4*t^8.8)/(g1^2*g3) - (4*t^8.8)/(g2^2*g3) - 4*g1^6*g2^4*g3*t^8.8 - 4*g1^4*g2^6*g3*t^8.8 + g1^10*g2^6*g3^2*t^8.8 + g1^8*g2^8*g3^2*t^8.8 + g1^6*g2^10*g3^2*t^8.8 - g1^12*g2^10*g3^3*t^8.8 - g1^10*g2^12*g3^3*t^8.8 - (g1*g2*t^4.4)/y - (g1*t^7.2)/(g2*g3*y) - (g2*t^7.2)/(g1*g3*y) - (g1^7*g2^5*g3*t^7.2)/y - (g1^5*g2^7*g3*t^7.2)/y + t^7.6/(g1^3*g2^5*g3*y) + t^7.6/(g1^5*g2^3*g3*y) + (g1^3*g2*g3*t^7.6)/y + (g1*g2^3*g3*t^7.6)/y + (g1^6*g2^2*t^8.6)/y + (2*g1^4*g2^4*t^8.6)/y + (g1^2*g2^6*t^8.6)/y + t^8.6/(g1^2*g2^2*g3^2*y) + (g1^2*t^8.6)/(g3*y) + (g2^2*t^8.6)/(g3*y) + (g1^8*g2^6*g3*t^8.6)/y + (g1^6*g2^8*g3*t^8.6)/y + (g1^10*g2^10*g3^2*t^8.6)/y - g1*g2*t^4.4*y - (g1*t^7.2*y)/(g2*g3) - (g2*t^7.2*y)/(g1*g3) - g1^7*g2^5*g3*t^7.2*y - g1^5*g2^7*g3*t^7.2*y + (t^7.6*y)/(g1^3*g2^5*g3) + (t^7.6*y)/(g1^5*g2^3*g3) + g1^3*g2*g3*t^7.6*y + g1*g2^3*g3*t^7.6*y + g1^6*g2^2*t^8.6*y + 2*g1^4*g2^4*t^8.6*y + g1^2*g2^6*t^8.6*y + (t^8.6*y)/(g1^2*g2^2*g3^2) + (g1^2*t^8.6*y)/g3 + (g2^2*t^8.6*y)/g3 + g1^8*g2^6*g3*t^8.6*y + g1^6*g2^8*g3*t^8.6*y + g1^10*g2^10*g3^2*t^8.6*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 |
|---|---|---|---|---|---|---|---|---|
| 604 | $M_1q_1q_2$ + $ 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$ + $ M_1M_4$ | 0.7044 | 0.8621 | 0.8171 | [X:[], M:[1.0, 0.91, 0.91, 1.0, 1.045], q:[0.5675, 0.4325], qb:[0.5225, 0.5675], phi:[0.4775]] | 2*t^2.73 + t^2.87 + 2*t^3. + t^3.13 + t^3.4 + t^4.03 + t^4.3 + 2*t^4.43 + t^4.57 + 2*t^4.7 + 3*t^4.84 + 3*t^5.46 + 4*t^5.73 + 2*t^5.87 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 603 | $M_1q_1q_2$ + $ 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$ + $ M_1^2$ | 0.7071 | 0.865 | 0.8174 | [X:[], M:[1.0, 0.8897, 0.9506, 0.9391, 1.0552], q:[0.5523, 0.4477], qb:[0.4971, 0.6132], phi:[0.4724]] | t^2.67 + t^2.82 + t^2.83 + t^2.85 + t^3. + t^3.17 + t^3.5 + t^4.1 + t^4.25 + t^4.4 + t^4.42 + t^4.57 + t^4.6 + t^4.73 + t^4.75 + t^4.91 + t^5.1 + t^5.34 + t^5.49 + t^5.52 + t^5.63 + 3*t^5.67 + t^5.7 + t^5.83 + t^5.98 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 606 | $M_1q_1q_2$ + $ 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$ + $ M_2M_4$ | 0.7051 | 0.8629 | 0.8172 | [X:[], M:[0.9027, 1.0, 0.9027, 1.0, 1.0486], q:[0.6216, 0.4757], qb:[0.4757, 0.5243], phi:[0.4757]] | 2*t^2.71 + t^2.85 + 2*t^3. + t^3.15 + t^3.44 + 3*t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + t^4.86 + t^5.16 + 3*t^5.42 + 4*t^5.71 + 2*t^5.85 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 608 | $M_1q_1q_2$ + $ 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$ + $ M_5M_6$ | 0.7171 | 0.8807 | 0.8142 | [X:[], M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.6179, 0.4607], qb:[0.4607, 0.6179], phi:[0.4607]] | 6*t^2.76 + t^3.71 + 3*t^4.15 + 4*t^4.62 + 3*t^5.09 + 17*t^5.53 - 8*t^6. - t^4.38/y - t^4.38*y | detail | |
| 607 | $M_1q_1q_2$ + $ 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$ + $ M_6q_1\tilde{q}_2$ | 0.7284 | 0.9028 | 0.8068 | [X:[], M:[0.9169, 0.9169, 0.9169, 0.9169, 1.0831, 0.7506], q:[0.6247, 0.4584], qb:[0.4584, 0.6247], phi:[0.4584]] | t^2.25 + 5*t^2.75 + t^3.25 + 3*t^4.13 + t^4.5 + 4*t^4.62 + 5*t^5. + 3*t^5.12 + 12*t^5.5 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 1829 | $M_1q_1q_2$ + $ 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} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 230 | 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$ | 0.791 | 0.9858 | 0.8024 | [X:[], M:[0.7646, 0.7646, 0.7646, 0.7646, 0.7371], q:[0.604, 0.6314], qb:[0.6314, 0.604], phi:[0.3823]] | t^2.21 + 5*t^2.29 + t^3.62 + t^4.42 + 5*t^4.51 + 15*t^4.59 + 3*t^4.77 + 4*t^4.85 + 3*t^4.94 + t^5.84 + t^5.92 - 8*t^6. - t^4.15/y - t^4.15*y | detail |