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 |
|---|---|---|---|---|---|---|---|---|---|
| 4854 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.629 | 0.8165 | 0.7704 | [M:[0.9302, 1.0, 1.1889, 0.7413, 1.2587, 0.8111, 0.7064, 0.7762], q:[0.5698, 0.5], qb:[0.2413, 0.7587], phi:[0.4826]] | [M:[[-8], [0], [-7], [-1], [1], [7], [-5], [3]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.119 + t^2.224 + t^2.329 + t^2.433 + t^2.791 + 2*t^2.895 + t^3. + t^3.776 + t^3.986 + t^4.238 + t^4.343 + 3*t^4.448 + 2*t^4.552 + 3*t^4.657 + t^4.762 + 2*t^4.866 + t^4.91 + 2*t^5.014 + 4*t^5.119 + 3*t^5.224 + 3*t^5.329 + t^5.433 + t^5.581 + 2*t^5.686 + 3*t^5.791 + 2*t^5.895 - 2*t^6. + t^6.105 + t^6.314 + t^6.357 + t^6.419 + 3*t^6.567 + 3*t^6.671 + 4*t^6.776 + 4*t^6.881 + 4*t^6.986 + t^7.029 + 3*t^7.09 + 2*t^7.134 + 2*t^7.195 + 4*t^7.238 + 2*t^7.3 + 6*t^7.343 + 5*t^7.448 + 5*t^7.552 + 3*t^7.657 + t^7.7 + 4*t^7.762 + 2*t^7.805 + t^7.866 + 4*t^7.91 + 6*t^8.014 + 2*t^8.119 + 2*t^8.224 - 4*t^8.329 + t^8.372 - 2*t^8.433 + 3*t^8.477 - 2*t^8.538 + 4*t^8.581 + 2*t^8.643 + 6*t^8.686 + t^8.747 + 2*t^8.852 - t^8.895 - t^4.448/y - t^6.567/y - t^6.776/y - t^7.238/y + t^7.448/y + (3*t^7.552)/y + (2*t^7.657)/y + t^7.762/y + t^7.91/y + (3*t^8.014)/y + (5*t^8.119)/y + (4*t^8.224)/y + (4*t^8.329)/y + t^8.433/y + t^8.686/y + (2*t^8.791)/y + (2*t^8.895)/y - t^4.448*y - t^6.567*y - t^6.776*y - t^7.238*y + t^7.448*y + 3*t^7.552*y + 2*t^7.657*y + t^7.762*y + t^7.91*y + 3*t^8.014*y + 5*t^8.119*y + 4*t^8.224*y + 4*t^8.329*y + t^8.433*y + t^8.686*y + 2*t^8.791*y + 2*t^8.895*y | t^2.119/g1^5 + t^2.224/g1 + g1^3*t^2.329 + g1^7*t^2.433 + t^2.791/g1^8 + (2*t^2.895)/g1^4 + t^3. + g1*t^3.776 + g1^9*t^3.986 + t^4.238/g1^10 + t^4.343/g1^6 + (3*t^4.448)/g1^2 + 2*g1^2*t^4.552 + 3*g1^6*t^4.657 + g1^10*t^4.762 + 2*g1^14*t^4.866 + t^4.91/g1^13 + (2*t^5.014)/g1^9 + (4*t^5.119)/g1^5 + (3*t^5.224)/g1 + 3*g1^3*t^5.329 + g1^7*t^5.433 + t^5.581/g1^16 + (2*t^5.686)/g1^12 + (3*t^5.791)/g1^8 + (2*t^5.895)/g1^4 - 2*t^6. + g1^4*t^6.105 + g1^12*t^6.314 + t^6.357/g1^15 + g1^16*t^6.419 + (3*t^6.567)/g1^7 + (3*t^6.671)/g1^3 + 4*g1*t^6.776 + 4*g1^5*t^6.881 + 4*g1^9*t^6.986 + t^7.029/g1^18 + 3*g1^13*t^7.09 + (2*t^7.134)/g1^14 + 2*g1^17*t^7.195 + (4*t^7.238)/g1^10 + 2*g1^21*t^7.3 + (6*t^7.343)/g1^6 + (5*t^7.448)/g1^2 + 5*g1^2*t^7.552 + 3*g1^6*t^7.657 + t^7.7/g1^21 + 4*g1^10*t^7.762 + (2*t^7.805)/g1^17 + g1^14*t^7.866 + (4*t^7.91)/g1^13 + (6*t^8.014)/g1^9 + (2*t^8.119)/g1^5 + (2*t^8.224)/g1 - 4*g1^3*t^8.329 + t^8.372/g1^24 - 2*g1^7*t^8.433 + (3*t^8.477)/g1^20 - 2*g1^11*t^8.538 + (4*t^8.581)/g1^16 + 2*g1^15*t^8.643 + (6*t^8.686)/g1^12 + g1^19*t^8.747 + 2*g1^23*t^8.852 - t^8.895/g1^4 - t^4.448/(g1^2*y) - t^6.567/(g1^7*y) - (g1*t^6.776)/y - t^7.238/(g1^10*y) + t^7.448/(g1^2*y) + (3*g1^2*t^7.552)/y + (2*g1^6*t^7.657)/y + (g1^10*t^7.762)/y + t^7.91/(g1^13*y) + (3*t^8.014)/(g1^9*y) + (5*t^8.119)/(g1^5*y) + (4*t^8.224)/(g1*y) + (4*g1^3*t^8.329)/y + (g1^7*t^8.433)/y + t^8.686/(g1^12*y) + (2*t^8.791)/(g1^8*y) + (2*t^8.895)/(g1^4*y) - (t^4.448*y)/g1^2 - (t^6.567*y)/g1^7 - g1*t^6.776*y - (t^7.238*y)/g1^10 + (t^7.448*y)/g1^2 + 3*g1^2*t^7.552*y + 2*g1^6*t^7.657*y + g1^10*t^7.762*y + (t^7.91*y)/g1^13 + (3*t^8.014*y)/g1^9 + (5*t^8.119*y)/g1^5 + (4*t^8.224*y)/g1 + 4*g1^3*t^8.329*y + g1^7*t^8.433*y + (t^8.686*y)/g1^12 + (2*t^8.791*y)/g1^8 + (2*t^8.895*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 |
|---|---|---|---|---|---|---|---|---|
| 6473 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{9}$ | 0.6246 | 0.8106 | 0.7706 | [M:[0.9754, 1.0, 1.2285, 0.7469, 1.2531, 0.7715, 0.7346, 0.7592, 1.0246], q:[0.5246, 0.5], qb:[0.2469, 0.7531], phi:[0.4939]] | t^2.204 + t^2.241 + t^2.278 + t^2.315 + 2*t^2.963 + t^3. + t^3.074 + t^3.759 + t^3.833 + t^4.408 + t^4.445 + 3*t^4.482 + 2*t^4.518 + 3*t^4.555 + t^4.592 + 2*t^4.629 + t^5.167 + 3*t^5.204 + 2*t^5.241 + 4*t^5.278 + 2*t^5.315 + t^5.351 + t^5.388 + 2*t^5.926 + 2*t^5.963 - 2*t^6. - t^4.482/y - t^4.482*y | detail | |
| 6474 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6499 | 0.858 | 0.7574 | [M:[0.9291, 1.0, 1.188, 0.7411, 1.2589, 0.812, 0.7057, 0.7766, 0.6702], q:[0.5709, 0.5], qb:[0.2411, 0.7589], phi:[0.4823]] | t^2.011 + t^2.117 + t^2.223 + t^2.33 + t^2.436 + t^2.787 + 2*t^2.894 + t^3. + t^3.777 + t^4.021 + t^4.128 + 2*t^4.234 + 2*t^4.34 + 4*t^4.447 + 2*t^4.553 + 3*t^4.66 + t^4.766 + t^4.798 + 2*t^4.872 + 3*t^4.904 + 3*t^5.011 + 4*t^5.117 + 3*t^5.223 + 3*t^5.33 + t^5.436 + t^5.575 + 2*t^5.681 + 4*t^5.787 + 2*t^5.894 - 2*t^6. - t^4.447/y - t^4.447*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2657 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6113 | 0.7851 | 0.7787 | [M:[0.9204, 1.0, 1.1804, 0.7401, 1.2599, 0.8196, 0.7003], q:[0.5796, 0.5], qb:[0.2401, 0.7599], phi:[0.4801]] | t^2.101 + t^2.22 + t^2.459 + t^2.761 + 2*t^2.881 + t^3. + t^3.66 + t^3.78 + t^4.019 + t^4.202 + t^4.321 + 2*t^4.44 + t^4.56 + 2*t^4.679 + t^4.862 + 2*t^4.918 + 2*t^4.981 + 3*t^5.101 + t^5.22 + 2*t^5.34 + t^5.459 + t^5.523 + 2*t^5.642 + 4*t^5.761 + 3*t^5.881 - 2*t^6. - t^4.44/y - t^4.44*y | detail |