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 |
|---|---|---|---|---|---|---|---|---|---|
| 46872 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7146 | 0.8745 | 0.8171 | [M:[0.9798, 0.8466, 1.0202, 1.0, 1.0767, 0.8264], q:[0.5, 0.5202], qb:[0.6534, 0.4798], phi:[0.4617]] | [M:[[0, 1], [-4, 0], [0, -1], [0, 0], [2, 0], [-4, 1]], q:[[0, 0], [0, -1]], qb:[[4, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.479 + t^2.54 + t^2.939 + t^3. + t^3.061 + t^3.23 + t^3.399 + t^4.264 + t^4.324 + 2*t^4.385 + t^4.446 + t^4.506 + t^4.784 + t^4.845 + t^4.906 + t^4.958 + t^5.019 + t^5.08 + t^5.305 + t^5.418 + t^5.479 + t^5.54 + t^5.709 + t^5.77 + t^5.879 - 2*t^6. - t^6.061 + t^6.169 + t^6.23 + t^6.291 + t^6.339 - t^6.521 + t^6.629 + t^6.743 + t^6.799 + 2*t^6.803 + 2*t^6.864 + 2*t^6.925 + t^6.986 + t^7.046 + t^7.203 + 2*t^7.264 + 3*t^7.324 + 2*t^7.385 + t^7.437 + 2*t^7.446 + t^7.498 + t^7.506 + t^7.559 + t^7.567 + t^7.62 + t^7.663 + t^7.724 + 2*t^7.784 + t^7.845 + t^7.898 + t^7.958 + t^8.019 + t^8.08 + t^8.184 + t^8.188 + t^8.244 + t^8.249 + t^8.305 + t^8.31 + t^8.358 - t^8.418 - 3*t^8.479 + t^8.527 - 4*t^8.54 + t^8.588 - 2*t^8.601 + 3*t^8.648 - t^8.661 + t^8.705 + 3*t^8.709 + 4*t^8.77 + t^8.818 + 2*t^8.831 - t^8.879 + 2*t^8.891 - 4*t^8.939 + t^8.952 - t^4.385/y - t^6.864/y - t^6.925/y + t^7.845/y + t^7.906/y + t^8.019/y + t^8.418/y + (2*t^8.479)/y + (2*t^8.54)/y + t^8.601/y + t^8.709/y + t^8.77/y + t^8.879/y + (2*t^8.939)/y - t^4.385*y - t^6.864*y - t^6.925*y + t^7.845*y + t^7.906*y + t^8.019*y + t^8.418*y + 2*t^8.479*y + 2*t^8.54*y + t^8.601*y + t^8.709*y + t^8.77*y + t^8.879*y + 2*t^8.939*y | (g2*t^2.479)/g1^4 + t^2.54/g1^4 + g2*t^2.939 + t^3. + t^3.061/g2 + g1^2*t^3.23 + g1^4*g2*t^3.399 + (g2^2*t^4.264)/g1 + (g2*t^4.324)/g1 + (2*t^4.385)/g1 + t^4.446/(g1*g2) + t^4.506/(g1*g2^2) + g1^3*g2*t^4.784 + g1^3*t^4.845 + (g1^3*t^4.906)/g2 + (g2^2*t^4.958)/g1^8 + (g2*t^5.019)/g1^8 + t^5.08/g1^8 + g1^7*t^5.305 + (g2^2*t^5.418)/g1^4 + (g2*t^5.479)/g1^4 + t^5.54/g1^4 + (g2*t^5.709)/g1^2 + t^5.77/g1^2 + g2^2*t^5.879 - 2*t^6. - t^6.061/g2 + g1^2*g2*t^6.169 + g1^2*t^6.23 + (g1^2*t^6.291)/g2 + g1^4*g2^2*t^6.339 - (g1^4*t^6.521)/g2 + g1^6*g2*t^6.629 + (g2^3*t^6.743)/g1^5 + g1^8*g2^2*t^6.799 + (2*g2^2*t^6.803)/g1^5 + (2*g2*t^6.864)/g1^5 + (2*t^6.925)/g1^5 + t^6.986/(g1^5*g2) + t^7.046/(g1^5*g2^2) + (g2^3*t^7.203)/g1 + (2*g2^2*t^7.264)/g1 + (3*g2*t^7.324)/g1 + (2*t^7.385)/g1 + (g2^3*t^7.437)/g1^12 + (2*t^7.446)/(g1*g2) + (g2^2*t^7.498)/g1^12 + t^7.506/(g1*g2^2) + (g2*t^7.559)/g1^12 + t^7.567/(g1*g2^3) + t^7.62/g1^12 + g1^3*g2^3*t^7.663 + g1^3*g2^2*t^7.724 + 2*g1^3*g2*t^7.784 + g1^3*t^7.845 + (g2^3*t^7.898)/g1^8 + (g2^2*t^7.958)/g1^8 + (g2*t^8.019)/g1^8 + t^8.08/g1^8 + g1^7*g2^2*t^8.184 + (g2^2*t^8.188)/g1^6 + g1^7*g2*t^8.244 + (g2*t^8.249)/g1^6 + g1^7*t^8.305 + t^8.31/g1^6 + (g2^3*t^8.358)/g1^4 - (g2^2*t^8.418)/g1^4 - (3*g2*t^8.479)/g1^4 + (g2^4*t^8.527)/g1^2 - (4*t^8.54)/g1^4 + (g2^3*t^8.588)/g1^2 - (2*t^8.601)/(g1^4*g2) + (3*g2^2*t^8.648)/g1^2 - t^8.661/(g1^4*g2^2) + g1^11*g2*t^8.705 + (3*g2*t^8.709)/g1^2 + (4*t^8.77)/g1^2 + g2^3*t^8.818 + (2*t^8.831)/(g1^2*g2) - g2^2*t^8.879 + (2*t^8.891)/(g1^2*g2^2) - 4*g2*t^8.939 + t^8.952/(g1^2*g2^3) - t^4.385/(g1*y) - (g2*t^6.864)/(g1^5*y) - t^6.925/(g1^5*y) + (g1^3*t^7.845)/y + (g1^3*t^7.906)/(g2*y) + (g2*t^8.019)/(g1^8*y) + (g2^2*t^8.418)/(g1^4*y) + (2*g2*t^8.479)/(g1^4*y) + (2*t^8.54)/(g1^4*y) + t^8.601/(g1^4*g2*y) + (g2*t^8.709)/(g1^2*y) + t^8.77/(g1^2*y) + (g2^2*t^8.879)/y + (2*g2*t^8.939)/y - (t^4.385*y)/g1 - (g2*t^6.864*y)/g1^5 - (t^6.925*y)/g1^5 + g1^3*t^7.845*y + (g1^3*t^7.906*y)/g2 + (g2*t^8.019*y)/g1^8 + (g2^2*t^8.418*y)/g1^4 + (2*g2*t^8.479*y)/g1^4 + (2*t^8.54*y)/g1^4 + (t^8.601*y)/(g1^4*g2) + (g2*t^8.709*y)/g1^2 + (t^8.77*y)/g1^2 + g2^2*t^8.879*y + 2*g2*t^8.939*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 55410 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.7139 | 0.8726 | 0.8181 | [M:[1.0057, 0.8428, 0.9943, 1.0, 1.0786, 0.8485, 0.9943], q:[0.5, 0.4943], qb:[0.6572, 0.5057], phi:[0.4607]] | t^2.528 + t^2.545 + 2*t^2.983 + t^3. + t^3.236 + t^3.489 + t^4.348 + t^4.365 + 2*t^4.382 + t^4.399 + t^4.416 + t^4.837 + t^4.854 + t^4.871 + t^5.057 + t^5.074 + t^5.091 + t^5.326 + t^5.511 + 2*t^5.528 + t^5.764 + t^5.781 + 2*t^5.966 - 3*t^6. - t^4.382/y - t^4.382*y | detail | |
| 53789 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.695 | 0.8495 | 0.8181 | [M:[1.0373, 0.9627, 0.9627, 1.0, 1.0186, 1.0], q:[0.5, 0.4627], qb:[0.5373, 0.5373], phi:[0.4907]] | 2*t^2.888 + 2*t^3. + t^3.056 + t^3.112 + t^3.224 + t^4.248 + t^4.36 + 3*t^4.472 + 2*t^4.584 + 3*t^4.696 + t^5.776 + t^5.888 + 2*t^5.944 - t^6. - t^4.472/y - t^4.472*y | detail | |
| 55217 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6087 | 0.7818 | 0.7785 | [M:[0.7432, 0.9453, 1.2568, 1.0, 1.0274, 0.6884], q:[0.5, 0.7568], qb:[0.5547, 0.2432], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46663 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7019 | 0.853 | 0.8229 | [M:[1.0, 0.8892, 1.0, 1.0, 1.0554], q:[0.5, 0.5], qb:[0.6108, 0.5], phi:[0.4723]] | t^2.668 + 3*t^3. + t^3.166 + 2*t^3.332 + 6*t^4.417 + 3*t^4.749 + t^5.082 + t^5.335 + t^5.834 - 2*t^6. - t^4.417/y - t^4.417*y | detail |