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 |
|---|---|---|---|---|---|---|---|---|---|
| 3066 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6065 | 0.7781 | 0.7795 | [M:[1.0, 1.0179, 0.9643, 1.2545, 0.7098, 0.7455, 1.0179], q:[0.2455, 0.7545], qb:[0.5, 0.5357], phi:[0.4911]] | [M:[[0], [4], [-8], [1], [-9], [-1], [4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.129 + t^2.237 + t^2.344 + t^2.893 + t^3. + 2*t^3.054 + t^3.71 + t^3.763 + t^3.817 + t^4.259 + t^4.366 + 3*t^4.473 + 2*t^4.58 + 2*t^4.688 + t^5.022 + t^5.129 + 2*t^5.183 + t^5.237 + 2*t^5.29 + t^5.344 + 2*t^5.397 + t^5.786 + t^5.839 + t^5.893 + 3*t^5.946 - 2*t^6. + 3*t^6.054 + 2*t^6.107 + t^6.161 + t^6.388 + t^6.495 + 3*t^6.603 + 3*t^6.71 + 5*t^6.817 + 2*t^6.924 + 2*t^7.031 + t^7.152 + t^7.259 + 2*t^7.312 + t^7.366 + 2*t^7.42 + t^7.473 + 4*t^7.527 + t^7.58 + 3*t^7.634 + t^7.688 + 3*t^7.741 + t^7.915 + t^7.969 + t^8.022 + 3*t^8.076 - 3*t^8.129 + 4*t^8.183 - t^8.237 + 3*t^8.29 - 2*t^8.344 + 3*t^8.397 + 2*t^8.451 + 2*t^8.505 + t^8.518 + t^8.625 + t^8.678 + 3*t^8.732 + t^8.786 + 4*t^8.839 - 3*t^8.893 + 5*t^8.946 - t^4.473/y - t^6.603/y + t^7.42/y + t^7.473/y - t^7.527/y + (2*t^7.58)/y + t^8.022/y + (2*t^8.129)/y + (2*t^8.183)/y + (2*t^8.237)/y + (2*t^8.29)/y + (2*t^8.344)/y + (2*t^8.397)/y - t^8.732/y + t^8.839/y + (2*t^8.893)/y + (4*t^8.946)/y - t^4.473*y - t^6.603*y + t^7.42*y + t^7.473*y - t^7.527*y + 2*t^7.58*y + t^8.022*y + 2*t^8.129*y + 2*t^8.183*y + 2*t^8.237*y + 2*t^8.29*y + 2*t^8.344*y + 2*t^8.397*y - t^8.732*y + t^8.839*y + 2*t^8.893*y + 4*t^8.946*y | t^2.129/g1^9 + t^2.237/g1 + g1^7*t^2.344 + t^2.893/g1^8 + t^3. + 2*g1^4*t^3.054 + t^3.71/g1^3 + g1*t^3.763 + g1^5*t^3.817 + t^4.259/g1^18 + t^4.366/g1^10 + (3*t^4.473)/g1^2 + 2*g1^6*t^4.58 + 2*g1^14*t^4.688 + t^5.022/g1^17 + t^5.129/g1^9 + (2*t^5.183)/g1^5 + t^5.237/g1 + 2*g1^3*t^5.29 + g1^7*t^5.344 + 2*g1^11*t^5.397 + t^5.786/g1^16 + t^5.839/g1^12 + t^5.893/g1^8 + (3*t^5.946)/g1^4 - 2*t^6. + 3*g1^4*t^6.054 + 2*g1^8*t^6.107 + g1^12*t^6.161 + t^6.388/g1^27 + t^6.495/g1^19 + (3*t^6.603)/g1^11 + (3*t^6.71)/g1^3 + 5*g1^5*t^6.817 + 2*g1^13*t^6.924 + 2*g1^21*t^7.031 + t^7.152/g1^26 + t^7.259/g1^18 + (2*t^7.312)/g1^14 + t^7.366/g1^10 + (2*t^7.42)/g1^6 + t^7.473/g1^2 + 4*g1^2*t^7.527 + g1^6*t^7.58 + 3*g1^10*t^7.634 + g1^14*t^7.688 + 3*g1^18*t^7.741 + t^7.915/g1^25 + t^7.969/g1^21 + t^8.022/g1^17 + (3*t^8.076)/g1^13 - (3*t^8.129)/g1^9 + (4*t^8.183)/g1^5 - t^8.237/g1 + 3*g1^3*t^8.29 - 2*g1^7*t^8.344 + 3*g1^11*t^8.397 + 2*g1^15*t^8.451 + 2*g1^19*t^8.505 + t^8.518/g1^36 + t^8.625/g1^28 + t^8.678/g1^24 + (3*t^8.732)/g1^20 + t^8.786/g1^16 + (4*t^8.839)/g1^12 - (3*t^8.893)/g1^8 + (5*t^8.946)/g1^4 - t^4.473/(g1^2*y) - t^6.603/(g1^11*y) + t^7.42/(g1^6*y) + t^7.473/(g1^2*y) - (g1^2*t^7.527)/y + (2*g1^6*t^7.58)/y + t^8.022/(g1^17*y) + (2*t^8.129)/(g1^9*y) + (2*t^8.183)/(g1^5*y) + (2*t^8.237)/(g1*y) + (2*g1^3*t^8.29)/y + (2*g1^7*t^8.344)/y + (2*g1^11*t^8.397)/y - t^8.732/(g1^20*y) + t^8.839/(g1^12*y) + (2*t^8.893)/(g1^8*y) + (4*t^8.946)/(g1^4*y) - (t^4.473*y)/g1^2 - (t^6.603*y)/g1^11 + (t^7.42*y)/g1^6 + (t^7.473*y)/g1^2 - g1^2*t^7.527*y + 2*g1^6*t^7.58*y + (t^8.022*y)/g1^17 + (2*t^8.129*y)/g1^9 + (2*t^8.183*y)/g1^5 + (2*t^8.237*y)/g1 + 2*g1^3*t^8.29*y + 2*g1^7*t^8.344*y + 2*g1^11*t^8.397*y - (t^8.732*y)/g1^20 + (t^8.839*y)/g1^12 + (2*t^8.893*y)/g1^8 + (4*t^8.946*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 |
|---|---|---|---|---|---|---|---|---|
| 4970 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6265 | 0.8153 | 0.7684 | [M:[1.0, 1.0216, 0.9569, 1.2554, 0.7015, 0.7446, 1.0216, 0.723], q:[0.2446, 0.7554], qb:[0.5, 0.5431], phi:[0.4892]] | t^2.104 + t^2.169 + t^2.234 + t^2.363 + t^2.871 + t^3. + 2*t^3.065 + t^3.701 + t^3.766 + t^4.209 + t^4.273 + 2*t^4.338 + t^4.403 + 3*t^4.468 + t^4.532 + 2*t^4.597 + 2*t^4.727 + t^4.975 + t^5.04 + t^5.104 + 3*t^5.169 + 3*t^5.234 + 2*t^5.299 + t^5.363 + 2*t^5.428 + t^5.741 + t^5.806 + 2*t^5.871 + 3*t^5.935 - 2*t^6. - t^4.468/y - t^4.468*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2015 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6087 | 0.7818 | 0.7785 | [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^2.065 + t^2.229 + t^2.394 + t^2.836 + t^2.918 + t^3. + t^3.082 + t^3.688 + t^3.771 + t^3.853 + t^4.13 + t^4.295 + 3*t^4.459 + 2*t^4.623 + 2*t^4.787 + t^4.901 + t^4.983 + t^5.065 + 2*t^5.147 + t^5.229 + 2*t^5.312 + t^5.394 + t^5.476 + t^5.672 + 2*t^5.754 + 2*t^5.836 + 3*t^5.918 - t^6. - t^4.459/y - t^4.459*y | detail |