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 |
|---|---|---|---|---|---|---|---|---|---|
| 834 | 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_4M_6$ + $ M_1^2$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | [X:[], M:[[0, 0], [0, 2], [0, -4], [1, 0], [-1, -4], [-1, 0]], q:[[-1, 0], [1, 0]], qb:[[0, 0], [0, 4]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_6$, $ M_1$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_1M_5$, $ M_3M_6$, $ M_1M_3$, $ M_4M_5$, $ M_2M_5$, $ M_2M_3$, $ M_6^2$, $ M_5q_1\tilde{q}_2$ | . | -2 | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^6.06 + t^6.17 + t^6.23 + t^6.29 + t^6.34 - t^6.52 + t^6.63 + t^6.74 + 3*t^6.8 + 2*t^6.86 + 2*t^6.92 + t^6.99 + t^7.05 + t^7.2 + 2*t^7.26 + 3*t^7.32 + 2*t^7.38 + t^7.44 + 2*t^7.45 + t^7.5 + t^7.51 + t^7.56 + t^7.57 + t^7.62 + t^7.66 + t^7.72 + 2*t^7.78 + t^7.85 + t^7.9 + t^7.96 + t^8.02 + t^8.08 + t^8.18 + t^8.19 + t^8.24 + t^8.25 + 2*t^8.31 + t^8.36 - t^8.42 - 3*t^8.48 + t^8.53 - 4*t^8.54 + t^8.59 - 2*t^8.6 + 3*t^8.65 - t^8.66 + t^8.7 + 3*t^8.71 + 4*t^8.77 + t^8.82 + 2*t^8.83 - t^8.88 + 2*t^8.89 - 4*t^8.94 + t^8.95 - t^4.38/y - t^6.86/y - t^6.92/y + t^7.85/y + t^7.91/y + t^8.02/y + t^8.42/y + (2*t^8.48)/y + (2*t^8.54)/y + t^8.6/y + t^8.71/y + t^8.77/y + t^8.88/y + (2*t^8.94)/y - t^4.38*y - t^6.86*y - t^6.92*y + t^7.85*y + t^7.91*y + t^8.02*y + t^8.42*y + 2*t^8.48*y + 2*t^8.54*y + t^8.6*y + t^8.71*y + t^8.77*y + t^8.88*y + 2*t^8.94*y | t^2.48/(g1*g2^4) + t^2.54/g2^4 + t^2.94/g1 + t^3. + g1*t^3.06 + g2^2*t^3.23 + (g2^4*t^3.4)/g1 + t^4.26/(g1^2*g2) + t^4.32/(g1*g2) + (2*t^4.38)/g2 + (g1*t^4.45)/g2 + (g1^2*t^4.51)/g2 + (g2^3*t^4.78)/g1 + g2^3*t^4.85 + g1*g2^3*t^4.91 + t^4.96/(g1^2*g2^8) + t^5.02/(g1*g2^8) + t^5.08/g2^8 + g2^7*t^5.31 + t^5.42/(g1^2*g2^4) + t^5.48/(g1*g2^4) + t^5.54/g2^4 + t^5.71/(g1*g2^2) + t^5.77/g2^2 + t^5.88/g1^2 - 2*t^6. - g1*t^6.06 + (g2^2*t^6.17)/g1 + g2^2*t^6.23 + g1*g2^2*t^6.29 + (g2^4*t^6.34)/g1^2 - g1*g2^4*t^6.52 + (g2^6*t^6.63)/g1 + t^6.74/(g1^3*g2^5) + (2*t^6.8)/(g1^2*g2^5) + (g2^8*t^6.8)/g1^2 + (2*t^6.86)/(g1*g2^5) + (2*t^6.92)/g2^5 + (g1*t^6.99)/g2^5 + (g1^2*t^7.05)/g2^5 + t^7.2/(g1^3*g2) + (2*t^7.26)/(g1^2*g2) + (3*t^7.32)/(g1*g2) + (2*t^7.38)/g2 + t^7.44/(g1^3*g2^12) + (2*g1*t^7.45)/g2 + t^7.5/(g1^2*g2^12) + (g1^2*t^7.51)/g2 + t^7.56/(g1*g2^12) + (g1^3*t^7.57)/g2 + t^7.62/g2^12 + (g2^3*t^7.66)/g1^3 + (g2^3*t^7.72)/g1^2 + (2*g2^3*t^7.78)/g1 + g2^3*t^7.85 + t^7.9/(g1^3*g2^8) + t^7.96/(g1^2*g2^8) + t^8.02/(g1*g2^8) + t^8.08/g2^8 + (g2^7*t^8.18)/g1^2 + t^8.19/(g1^2*g2^6) + (g2^7*t^8.24)/g1 + t^8.25/(g1*g2^6) + t^8.31/g2^6 + g2^7*t^8.31 + t^8.36/(g1^3*g2^4) - t^8.42/(g1^2*g2^4) - (3*t^8.48)/(g1*g2^4) + t^8.53/(g1^4*g2^2) - (4*t^8.54)/g2^4 + t^8.59/(g1^3*g2^2) - (2*g1*t^8.6)/g2^4 + (3*t^8.65)/(g1^2*g2^2) - (g1^2*t^8.66)/g2^4 + (g2^11*t^8.7)/g1 + (3*t^8.71)/(g1*g2^2) + (4*t^8.77)/g2^2 + t^8.82/g1^3 + (2*g1*t^8.83)/g2^2 - t^8.88/g1^2 + (2*g1^2*t^8.89)/g2^2 - (4*t^8.94)/g1 + (g1^3*t^8.95)/g2^2 - t^4.38/(g2*y) - t^6.86/(g1*g2^5*y) - t^6.92/(g2^5*y) + (g2^3*t^7.85)/y + (g1*g2^3*t^7.91)/y + t^8.02/(g1*g2^8*y) + t^8.42/(g1^2*g2^4*y) + (2*t^8.48)/(g1*g2^4*y) + (2*t^8.54)/(g2^4*y) + (g1*t^8.6)/(g2^4*y) + t^8.71/(g1*g2^2*y) + t^8.77/(g2^2*y) + t^8.88/(g1^2*y) + (2*t^8.94)/(g1*y) - (t^4.38*y)/g2 - (t^6.86*y)/(g1*g2^5) - (t^6.92*y)/g2^5 + g2^3*t^7.85*y + g1*g2^3*t^7.91*y + (t^8.02*y)/(g1*g2^8) + (t^8.42*y)/(g1^2*g2^4) + (2*t^8.48*y)/(g1*g2^4) + (2*t^8.54*y)/g2^4 + (g1*t^8.6*y)/g2^4 + (t^8.71*y)/(g1*g2^2) + (t^8.77*y)/g2^2 + (t^8.88*y)/g1^2 + (2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 1323 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_1^2$ + $ M_3M_5$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.0, 1.0032, 0.9935, 0.987, 1.0065, 1.013], q:[0.513, 0.487], qb:[0.5, 0.5065], phi:[0.4984]] | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.42 + t^4.46 + t^4.48 + 2*t^4.5 + t^4.51 + 2*t^4.53 + t^4.55 + t^4.57 + t^5.97 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 1324 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_1^2$ + $ M_5M_7$ | 0.7019 | 0.853 | 0.8229 | [X:[], M:[1.0, 1.0554, 0.8892, 1.0, 0.8892, 1.0, 1.1108], q:[0.5, 0.5], qb:[0.5, 0.6108], phi:[0.4723]] | t^2.67 + 3*t^3. + t^3.17 + 2*t^3.33 + 6*t^4.42 + 3*t^4.75 + t^5.08 + t^5.34 + t^5.83 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 1322 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_1^2$ + $ M_5^2$ | 0.695 | 0.8495 | 0.8181 | [X:[], M:[1.0, 1.0186, 0.9627, 0.9627, 1.0, 1.0373], q:[0.5373, 0.4627], qb:[0.5, 0.5373], phi:[0.4907]] | 2*t^2.89 + 2*t^3. + t^3.06 + t^3.11 + t^3.22 + t^4.25 + t^4.36 + 3*t^4.47 + 2*t^4.58 + 3*t^4.7 + t^5.78 + t^5.89 + 2*t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 1325 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_1^2$ + $ M_6M_7$ | 0.7139 | 0.8726 | 0.8181 | [X:[], M:[1.0, 1.0786, 0.8428, 0.9943, 0.8485, 1.0057, 0.9943], q:[0.5057, 0.4943], qb:[0.5, 0.6572], phi:[0.4607]] | t^2.53 + t^2.55 + 2*t^2.98 + t^3. + t^3.24 + t^3.49 + t^4.35 + t^4.36 + 2*t^4.38 + t^4.4 + t^4.42 + t^4.84 + t^4.85 + t^4.87 + t^5.06 + t^5.07 + t^5.09 + t^5.33 + t^5.51 + 2*t^5.53 + t^5.76 + t^5.78 + 2*t^5.97 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 2015 | $M_1q_1q_2$ + $ 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_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ | 0.6087 | 0.7818 | 0.7785 | [X:[], M:[1.0, 1.0274, 0.9453, 1.2568, 0.6884, 0.7432], q:[0.2432, 0.7568], qb:[0.5, 0.5547], phi:[0.4863]] | t^2.07 + t^2.23 + t^2.39 + t^2.84 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.85 + t^4.13 + t^4.29 + 3*t^4.46 + 2*t^4.62 + 2*t^4.79 + t^4.9 + t^4.98 + t^5.07 + 2*t^5.15 + t^5.23 + 2*t^5.31 + t^5.39 + t^5.48 + t^5.67 + 2*t^5.75 + 2*t^5.84 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 535 | 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_4M_6$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |