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 |
|---|---|---|---|---|---|---|---|---|---|
| 2343 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ | 0.7298 | 0.9024 | 0.8087 | [X:[], M:[1.0232, 1.0953, 0.7862, 0.9768, 0.8327, 1.0, 0.8094, 0.9768], q:[0.5, 0.4768], qb:[0.5232, 0.6906], phi:[0.4524]] | [X:[], M:[[1, 0], [0, 2], [-1, -4], [-1, 0], [1, -4], [0, 0], [0, -4], [-1, 0]], q:[[0, 0], [-1, 0]], qb:[[1, 0], [0, 4]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_7$, $ M_5$, $ M_4$, $ M_8$, $ M_6$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_7$, $ M_3M_5$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_8$, $ M_3M_6$, $ M_4M_7$, $ M_7M_8$, $ M_4M_5$, $ M_6M_7$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2M_7$, $ M_2M_5$, $ M_4^2$, $ M_4M_8$, $ M_8^2$ | . | -3 | t^2.36 + t^2.43 + t^2.5 + 2*t^2.93 + t^3. + t^3.29 + t^4.22 + t^4.29 + 2*t^4.36 + t^4.43 + t^4.5 + t^4.72 + t^4.79 + 3*t^4.86 + 2*t^4.93 + 2*t^5. + 2*t^5.29 + 2*t^5.36 + 2*t^5.43 + t^5.5 + t^5.64 + t^5.71 + t^5.78 + 2*t^5.86 - 3*t^6. - 2*t^6.07 - t^6.14 + 2*t^6.22 + t^6.29 - t^6.5 - t^6.57 + t^6.58 - t^6.64 + 2*t^6.65 + 3*t^6.72 + 3*t^6.79 + 3*t^6.86 + 2*t^6.92 + t^6.99 + t^7.08 + 3*t^7.15 + 5*t^7.22 + 6*t^7.29 + 2*t^7.35 + 3*t^7.36 + t^7.42 + 2*t^7.43 + t^7.49 + t^7.5 + 2*t^7.65 + 2*t^7.72 + 4*t^7.79 + 3*t^7.86 + t^7.93 + 2*t^8.14 + t^8.21 + 2*t^8.22 + t^8.28 - 3*t^8.36 - 5*t^8.43 + t^8.44 - 6*t^8.5 + t^8.51 + 3*t^8.64 + 5*t^8.71 + 2*t^8.78 + 2*t^8.79 + 2*t^8.85 - 2*t^8.86 + t^8.92 - 8*t^8.93 + t^8.94 + t^8.99 - t^4.36/y - t^6.72/y - t^6.79/y - t^6.86/y - t^7.29/y + t^7.43/y + t^7.79/y + (2*t^7.86)/y + (2*t^7.93)/y + t^8./y + (2*t^8.29)/y + (3*t^8.36)/y + (3*t^8.43)/y + t^8.5/y + t^8.64/y + t^8.71/y + t^8.78/y + t^8.86/y + (2*t^8.93)/y - t^4.36*y - t^6.72*y - t^6.79*y - t^6.86*y - t^7.29*y + t^7.43*y + t^7.79*y + 2*t^7.86*y + 2*t^7.93*y + t^8.*y + 2*t^8.29*y + 3*t^8.36*y + 3*t^8.43*y + t^8.5*y + t^8.64*y + t^8.71*y + t^8.78*y + t^8.86*y + 2*t^8.93*y | t^2.36/(g1*g2^4) + t^2.43/g2^4 + (g1*t^2.5)/g2^4 + (2*t^2.93)/g1 + t^3. + g2^2*t^3.29 + t^4.22/(g1^2*g2) + t^4.29/(g1*g2) + (2*t^4.36)/g2 + (g1*t^4.43)/g2 + (g1^2*t^4.5)/g2 + t^4.72/(g1^2*g2^8) + t^4.79/(g1*g2^8) + (2*t^4.86)/g2^8 + (g2^3*t^4.86)/g1 + (g1*t^4.93)/g2^8 + g2^3*t^4.93 + (g1^2*t^5.)/g2^8 + g1*g2^3*t^5. + (2*t^5.29)/(g1^2*g2^4) + (2*t^5.36)/(g1*g2^4) + (2*t^5.43)/g2^4 + g2^7*t^5.5 + t^5.64/(g1*g2^2) + t^5.71/g2^2 + (g1*t^5.78)/g2^2 + (2*t^5.86)/g1^2 - 3*t^6. - 2*g1*t^6.07 - g1^2*t^6.14 + (2*g2^2*t^6.22)/g1 + g2^2*t^6.29 - (g2^4*t^6.5)/g1 - g2^4*t^6.57 + t^6.58/(g1^3*g2^5) - g1*g2^4*t^6.64 + (2*t^6.65)/(g1^2*g2^5) + (3*t^6.72)/(g1*g2^5) + (3*t^6.79)/g2^5 + (3*g1*t^6.86)/g2^5 + (2*g1^2*t^6.92)/g2^5 + (g1^3*t^6.99)/g2^5 + t^7.08/(g1^3*g2^12) + t^7.15/(g1^2*g2^12) + (2*t^7.15)/(g1^3*g2) + (2*t^7.22)/(g1*g2^12) + (3*t^7.22)/(g1^2*g2) + (2*t^7.29)/g2^12 + (4*t^7.29)/(g1*g2) + (2*g1*t^7.35)/g2^12 + (3*t^7.36)/g2 + (g1^2*t^7.42)/g2^12 + (2*g1*t^7.43)/g2 + (g1^3*t^7.49)/g2^12 + (g1^2*t^7.5)/g2 + (2*t^7.65)/(g1^3*g2^8) + (2*t^7.72)/(g1^2*g2^8) + (3*t^7.79)/(g1*g2^8) + (g2^3*t^7.79)/g1^2 + (2*t^7.86)/g2^8 + (g2^3*t^7.86)/g1 + (g1*t^7.93)/g2^8 + t^8./(g1^2*g2^6) - g1*g2^3*t^8. + t^8.07/(g1*g2^6) - g1^2*g2^3*t^8.07 + (2*t^8.14)/g2^6 + (g1*t^8.21)/g2^6 + (2*t^8.22)/(g1^3*g2^4) + (g1^2*t^8.28)/g2^6 - (3*t^8.36)/(g1*g2^4) - (6*t^8.43)/g2^4 + (g2^7*t^8.43)/g1 + t^8.44/(g1^4*g2^2) - (6*g1*t^8.5)/g2^4 + t^8.51/(g1^3*g2^2) - (3*g1^2*t^8.57)/g2^4 + (4*t^8.57)/(g1^2*g2^2) - g1*g2^7*t^8.57 - (g1^3*t^8.64)/g2^4 + (4*t^8.64)/(g1*g2^2) + (5*t^8.71)/g2^2 + (2*g1*t^8.78)/g2^2 + (2*t^8.79)/g1^3 + (2*g1^2*t^8.85)/g2^2 - (2*t^8.86)/g1^2 + (g1^3*t^8.92)/g2^2 - (8*t^8.93)/g1 + t^8.94/(g1^4*g2^9) + (g1^4*t^8.99)/g2^2 - t^4.36/(g2*y) - t^6.72/(g1*g2^5*y) - t^6.79/(g2^5*y) - (g1*t^6.86)/(g2^5*y) - t^7.29/(g1*g2*y) + (g1*t^7.43)/(g2*y) + t^7.79/(g1*g2^8*y) + t^7.86/(g2^8*y) + (g2^3*t^7.86)/(g1*y) + (g1*t^7.93)/(g2^8*y) + (g2^3*t^7.93)/y + (g1*g2^3*t^8.)/y + (2*t^8.29)/(g1^2*g2^4*y) + (3*t^8.36)/(g1*g2^4*y) + (3*t^8.43)/(g2^4*y) + (g1*t^8.5)/(g2^4*y) + t^8.64/(g1*g2^2*y) + t^8.71/(g2^2*y) + (g1*t^8.78)/(g2^2*y) + t^8.86/(g1^2*y) + (2*t^8.93)/(g1*y) - (t^4.36*y)/g2 - (t^6.72*y)/(g1*g2^5) - (t^6.79*y)/g2^5 - (g1*t^6.86*y)/g2^5 - (t^7.29*y)/(g1*g2) + (g1*t^7.43*y)/g2 + (t^7.79*y)/(g1*g2^8) + (t^7.86*y)/g2^8 + (g2^3*t^7.86*y)/g1 + (g1*t^7.93*y)/g2^8 + g2^3*t^7.93*y + g1*g2^3*t^8.*y + (2*t^8.29*y)/(g1^2*g2^4) + (3*t^8.36*y)/(g1*g2^4) + (3*t^8.43*y)/g2^4 + (g1*t^8.5*y)/g2^4 + (t^8.64*y)/(g1*g2^2) + (t^8.71*y)/g2^2 + (g1*t^8.78*y)/g2^2 + (t^8.86*y)/g1^2 + (2*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 4329 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_3M_7$ | 0.6926 | 0.8483 | 0.8165 | [X:[], M:[0.9751, 1.0062, 1.0125, 1.0249, 0.9626, 1.0, 0.9875, 1.0249], q:[0.5, 0.5249], qb:[0.4751, 0.5125], phi:[0.4969]] | t^2.89 + t^2.96 + t^3. + t^3.02 + t^3.04 + 2*t^3.07 + t^4.34 + t^4.42 + t^4.45 + 2*t^4.49 + t^4.53 + 2*t^4.57 + t^4.6 + t^4.64 + t^5.78 + t^5.91 + t^5.96 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 4331 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_5M_7$ | 0.7015 | 0.8648 | 0.8111 | [X:[], M:[1.0697, 1.0174, 0.8955, 0.9303, 1.0348, 1.0, 0.9652, 0.9303], q:[0.5, 0.4303], qb:[0.5697, 0.5348], phi:[0.4913]] | t^2.69 + 2*t^2.79 + t^2.9 + t^3. + t^3.05 + t^3.1 + t^4.06 + t^4.26 + t^4.37 + 2*t^4.47 + t^4.58 + 2*t^4.68 + t^4.79 + t^4.89 + t^5.37 + 2*t^5.48 + 3*t^5.58 + 2*t^5.69 + t^5.74 + 2*t^5.79 + 2*t^5.84 + t^5.9 + t^5.95 - 2*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1315 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ | 0.7287 | 0.8998 | 0.8098 | [X:[], M:[1.0, 1.0955, 0.809, 1.0, 0.809, 1.0, 0.809], q:[0.5, 0.5], qb:[0.5, 0.691], phi:[0.4523]] | 3*t^2.43 + 3*t^3. + t^3.29 + 6*t^4.36 + 6*t^4.85 + 3*t^4.93 + 6*t^5.43 + t^5.5 + 3*t^5.71 - 4*t^6. - t^4.36/y - t^4.36*y | detail |