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 |
|---|---|---|---|---|---|---|---|---|---|
| 4933 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6249 | 0.8124 | 0.7692 | [M:[1.0, 1.0127, 0.9745, 1.2532, 0.7213, 0.7468, 1.0255, 0.7341], q:[0.2468, 0.7532], qb:[0.5, 0.5255], phi:[0.4936]] | [M:[[0], [4], [-8], [1], [-9], [-1], [8], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{8}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.164 + t^2.202 + t^2.24 + t^2.317 + t^2.962 + t^3. + t^3.038 + t^3.076 + t^3.721 + t^3.76 + t^4.328 + t^4.366 + 2*t^4.404 + t^4.443 + 3*t^4.481 + t^4.519 + 2*t^4.557 + 2*t^4.634 + t^5.126 + t^5.164 + 3*t^5.202 + 2*t^5.24 + 3*t^5.279 + 2*t^5.317 + t^5.355 + t^5.393 + t^5.885 + 2*t^5.924 + 2*t^5.962 - t^6. + 2*t^6.038 + t^6.076 + t^6.115 + t^6.153 + t^6.492 + t^6.53 + 2*t^6.569 + 2*t^6.607 + 3*t^6.645 + 3*t^6.683 + 4*t^6.721 + t^6.76 + 4*t^6.798 + t^6.836 + 2*t^6.874 + 2*t^6.951 + t^7.29 + t^7.328 + 3*t^7.366 + 2*t^7.404 + 6*t^7.443 + 3*t^7.481 + 4*t^7.519 + 2*t^7.557 + 3*t^7.596 + 3*t^7.634 + t^7.672 + 2*t^7.71 + t^8.049 + 2*t^8.088 + 2*t^8.126 + t^8.202 + 2*t^8.279 - t^8.317 + 3*t^8.355 + 2*t^8.393 + t^8.431 + t^8.47 + t^8.656 + t^8.694 + 2*t^8.733 + 2*t^8.771 + 4*t^8.809 + 4*t^8.847 + 5*t^8.885 + 3*t^8.924 + 3*t^8.962 - t^4.481/y - t^6.645/y - t^6.683/y + t^7.366/y + t^7.404/y + t^7.443/y + t^7.481/y + t^7.519/y + t^7.557/y + t^8.126/y + (2*t^8.164)/y + (3*t^8.202)/y + (3*t^8.24)/y + (4*t^8.279)/y + (3*t^8.317)/y + t^8.355/y + t^8.393/y - t^8.809/y - t^8.847/y + (2*t^8.924)/y + (3*t^8.962)/y - t^4.481*y - t^6.645*y - t^6.683*y + t^7.366*y + t^7.404*y + t^7.443*y + t^7.481*y + t^7.519*y + t^7.557*y + t^8.126*y + 2*t^8.164*y + 3*t^8.202*y + 3*t^8.24*y + 4*t^8.279*y + 3*t^8.317*y + t^8.355*y + t^8.393*y - t^8.809*y - t^8.847*y + 2*t^8.924*y + 3*t^8.962*y | t^2.164/g1^9 + t^2.202/g1^5 + t^2.24/g1 + g1^7*t^2.317 + t^2.962/g1^4 + t^3. + g1^4*t^3.038 + g1^8*t^3.076 + t^3.721/g1^3 + g1*t^3.76 + t^4.328/g1^18 + t^4.366/g1^14 + (2*t^4.404)/g1^10 + t^4.443/g1^6 + (3*t^4.481)/g1^2 + g1^2*t^4.519 + 2*g1^6*t^4.557 + 2*g1^14*t^4.634 + t^5.126/g1^13 + t^5.164/g1^9 + (3*t^5.202)/g1^5 + (2*t^5.24)/g1 + 3*g1^3*t^5.279 + 2*g1^7*t^5.317 + g1^11*t^5.355 + g1^15*t^5.393 + t^5.885/g1^12 + (2*t^5.924)/g1^8 + (2*t^5.962)/g1^4 - t^6. + 2*g1^4*t^6.038 + g1^8*t^6.076 + g1^12*t^6.115 + g1^16*t^6.153 + t^6.492/g1^27 + t^6.53/g1^23 + (2*t^6.569)/g1^19 + (2*t^6.607)/g1^15 + (3*t^6.645)/g1^11 + (3*t^6.683)/g1^7 + (4*t^6.721)/g1^3 + g1*t^6.76 + 4*g1^5*t^6.798 + g1^9*t^6.836 + 2*g1^13*t^6.874 + 2*g1^21*t^6.951 + t^7.29/g1^22 + t^7.328/g1^18 + (3*t^7.366)/g1^14 + (2*t^7.404)/g1^10 + (6*t^7.443)/g1^6 + (3*t^7.481)/g1^2 + 4*g1^2*t^7.519 + 2*g1^6*t^7.557 + 3*g1^10*t^7.596 + 3*g1^14*t^7.634 + g1^18*t^7.672 + 2*g1^22*t^7.71 + t^8.049/g1^21 + (2*t^8.088)/g1^17 + (2*t^8.126)/g1^13 + t^8.202/g1^5 + 2*g1^3*t^8.279 - g1^7*t^8.317 + 3*g1^11*t^8.355 + 2*g1^15*t^8.393 + g1^19*t^8.431 + g1^23*t^8.47 + t^8.656/g1^36 + t^8.694/g1^32 + (2*t^8.733)/g1^28 + (2*t^8.771)/g1^24 + (4*t^8.809)/g1^20 + (4*t^8.847)/g1^16 + (5*t^8.885)/g1^12 + (3*t^8.924)/g1^8 + (3*t^8.962)/g1^4 - t^4.481/(g1^2*y) - t^6.645/(g1^11*y) - t^6.683/(g1^7*y) + t^7.366/(g1^14*y) + t^7.404/(g1^10*y) + t^7.443/(g1^6*y) + t^7.481/(g1^2*y) + (g1^2*t^7.519)/y + (g1^6*t^7.557)/y + t^8.126/(g1^13*y) + (2*t^8.164)/(g1^9*y) + (3*t^8.202)/(g1^5*y) + (3*t^8.24)/(g1*y) + (4*g1^3*t^8.279)/y + (3*g1^7*t^8.317)/y + (g1^11*t^8.355)/y + (g1^15*t^8.393)/y - t^8.809/(g1^20*y) - t^8.847/(g1^16*y) + (2*t^8.924)/(g1^8*y) + (3*t^8.962)/(g1^4*y) - (t^4.481*y)/g1^2 - (t^6.645*y)/g1^11 - (t^6.683*y)/g1^7 + (t^7.366*y)/g1^14 + (t^7.404*y)/g1^10 + (t^7.443*y)/g1^6 + (t^7.481*y)/g1^2 + g1^2*t^7.519*y + g1^6*t^7.557*y + (t^8.126*y)/g1^13 + (2*t^8.164*y)/g1^9 + (3*t^8.202*y)/g1^5 + (3*t^8.24*y)/g1 + 4*g1^3*t^8.279*y + 3*g1^7*t^8.317*y + g1^11*t^8.355*y + g1^15*t^8.393*y - (t^8.809*y)/g1^20 - (t^8.847*y)/g1^16 + (2*t^8.924*y)/g1^8 + (3*t^8.962*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6534 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{9}$ | 0.644 | 0.8474 | 0.76 | [M:[1.0, 1.0137, 0.9726, 1.2534, 0.7192, 0.7466, 1.0274, 0.7329, 0.7466], q:[0.2466, 0.7534], qb:[0.5, 0.5274], phi:[0.4932]] | t^2.158 + t^2.199 + 2*t^2.24 + t^2.322 + t^2.959 + t^3. + t^3.041 + t^3.082 + t^3.719 + t^4.315 + t^4.356 + 3*t^4.397 + 2*t^4.438 + 5*t^4.479 + t^4.521 + 3*t^4.562 + 2*t^4.644 + t^5.116 + t^5.158 + 4*t^5.199 + 3*t^5.24 + 4*t^5.281 + 3*t^5.322 + t^5.363 + t^5.404 + t^5.877 + t^5.918 + 2*t^5.959 - 2*t^6. - t^4.479/y - t^4.479*y | detail | |
| 6533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6435 | 0.8462 | 0.7605 | [M:[1.0, 1.0095, 0.9809, 1.2524, 0.7285, 0.7476, 1.0191, 0.7381, 0.7572], q:[0.2476, 0.7524], qb:[0.5, 0.5191], phi:[0.4952]] | t^2.186 + t^2.214 + t^2.243 + t^2.271 + t^2.3 + t^2.971 + t^3. + t^3.029 + t^3.057 + t^3.757 + t^4.371 + t^4.4 + 2*t^4.428 + 2*t^4.457 + 4*t^4.486 + 2*t^4.514 + 3*t^4.543 + t^4.572 + 2*t^4.6 + t^5.157 + t^5.186 + 3*t^5.214 + 3*t^5.243 + 4*t^5.271 + 3*t^5.3 + 2*t^5.329 + t^5.357 + t^5.943 + t^5.971 - t^6. - t^4.486/y - t^4.486*y | detail | |
| 6532 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$ | 0.6241 | 0.8114 | 0.7692 | [M:[1.0, 1.0037, 0.9927, 1.2509, 0.7417, 0.7491, 1.0073, 0.7454, 1.0037], q:[0.2491, 0.7509], qb:[0.5, 0.5073], phi:[0.4982]] | t^2.225 + t^2.236 + t^2.247 + t^2.269 + t^3. + 2*t^3.011 + t^3.022 + t^3.742 + t^3.753 + t^4.45 + t^4.461 + 2*t^4.472 + t^4.483 + 3*t^4.494 + t^4.506 + 2*t^4.517 + 2*t^4.539 + 3*t^5.236 + 3*t^5.247 + 3*t^5.258 + 2*t^5.269 + 2*t^5.28 + t^5.291 + t^5.967 + t^5.978 + t^5.989 - 2*t^6. - t^4.494/y - t^4.494*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6053 | 0.7765 | 0.7795 | [M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.194 + t^2.244 + t^2.294 + t^2.975 + t^3. + t^3.025 + t^3.05 + t^3.731 + t^3.756 + t^3.781 + t^4.388 + t^4.438 + 3*t^4.488 + 2*t^4.537 + 2*t^4.587 + t^5.169 + 2*t^5.219 + t^5.244 + 2*t^5.269 + 2*t^5.294 + t^5.319 + t^5.344 + t^5.925 + t^5.95 + 2*t^5.975 - t^6. - t^4.488/y - t^4.488*y | detail |