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 |
|---|---|---|---|---|---|---|---|---|---|
| 4331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{5}M_{7}$ | 0.7015 | 0.8648 | 0.8111 | [M:[1.0697, 1.0174, 0.8955, 0.9303, 1.0348, 1.0, 0.9652, 0.9303], q:[0.5, 0.4303], qb:[0.5697, 0.5348], phi:[0.4913]] | [M:[[8], [2], [-12], [-8], [4], [0], [-4], [-8]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{7}$ | ${}$ | -2 | t^2.686 + 2*t^2.791 + t^2.895 + t^3. + t^3.052 + t^3.105 + t^4.056 + t^4.265 + t^4.369 + 2*t^4.474 + t^4.578 + 2*t^4.683 + t^4.787 + t^4.892 + t^5.373 + 2*t^5.477 + 3*t^5.582 + 2*t^5.686 + t^5.739 + 2*t^5.791 + 2*t^5.843 + t^5.895 + t^5.948 - 2*t^6. + t^6.052 - t^6.105 + t^6.157 - t^6.209 - t^6.314 - t^6.418 + t^6.742 + 2*t^6.847 + 2*t^6.951 + 3*t^7.056 + 4*t^7.16 + 4*t^7.265 + 4*t^7.369 + 4*t^7.474 + 3*t^7.578 + 2*t^7.683 + t^7.787 + t^8.059 + t^8.112 + 2*t^8.164 + 3*t^8.268 + t^8.321 + 4*t^8.373 + 2*t^8.425 + 2*t^8.477 + 4*t^8.53 + t^8.582 + 4*t^8.634 - 2*t^8.686 + 5*t^8.739 - 6*t^8.791 + 4*t^8.843 - 6*t^8.895 + 5*t^8.948 - t^4.474/y - t^7.16/y - t^7.265/y + t^7.683/y + t^7.787/y + (2*t^8.477)/y + (2*t^8.582)/y + (3*t^8.686)/y + t^8.739/y + (3*t^8.791)/y + (2*t^8.843)/y + (3*t^8.895)/y + t^8.948/y - t^4.474*y - t^7.16*y - t^7.265*y + t^7.683*y + t^7.787*y + 2*t^8.477*y + 2*t^8.582*y + 3*t^8.686*y + t^8.739*y + 3*t^8.791*y + 2*t^8.843*y + 3*t^8.895*y + t^8.948*y | t^2.686/g1^12 + (2*t^2.791)/g1^8 + t^2.895/g1^4 + t^3. + g1^2*t^3.052 + g1^4*t^3.105 + t^4.056/g1^17 + t^4.265/g1^9 + t^4.369/g1^5 + (2*t^4.474)/g1 + g1^3*t^4.578 + 2*g1^7*t^4.683 + g1^11*t^4.787 + g1^15*t^4.892 + t^5.373/g1^24 + (2*t^5.477)/g1^20 + (3*t^5.582)/g1^16 + (2*t^5.686)/g1^12 + t^5.739/g1^10 + (2*t^5.791)/g1^8 + (2*t^5.843)/g1^6 + t^5.895/g1^4 + t^5.948/g1^2 - 2*t^6. + g1^2*t^6.052 - g1^4*t^6.105 + g1^6*t^6.157 - g1^8*t^6.209 - g1^12*t^6.314 - g1^16*t^6.418 + t^6.742/g1^29 + (2*t^6.847)/g1^25 + (2*t^6.951)/g1^21 + (3*t^7.056)/g1^17 + (4*t^7.16)/g1^13 + (4*t^7.265)/g1^9 + (4*t^7.369)/g1^5 + (4*t^7.474)/g1 + 3*g1^3*t^7.578 + 2*g1^7*t^7.683 + g1^11*t^7.787 + t^8.059/g1^36 + t^8.112/g1^34 + (2*t^8.164)/g1^32 + (3*t^8.268)/g1^28 + t^8.321/g1^26 + (4*t^8.373)/g1^24 + (2*t^8.425)/g1^22 + (2*t^8.477)/g1^20 + (4*t^8.53)/g1^18 + t^8.582/g1^16 + (4*t^8.634)/g1^14 - (2*t^8.686)/g1^12 + (5*t^8.739)/g1^10 - (6*t^8.791)/g1^8 + (4*t^8.843)/g1^6 - (6*t^8.895)/g1^4 + (5*t^8.948)/g1^2 - t^4.474/(g1*y) - t^7.16/(g1^13*y) - t^7.265/(g1^9*y) + (g1^7*t^7.683)/y + (g1^11*t^7.787)/y + (2*t^8.477)/(g1^20*y) + (2*t^8.582)/(g1^16*y) + (3*t^8.686)/(g1^12*y) + t^8.739/(g1^10*y) + (3*t^8.791)/(g1^8*y) + (2*t^8.843)/(g1^6*y) + (3*t^8.895)/(g1^4*y) + t^8.948/(g1^2*y) - (t^4.474*y)/g1 - (t^7.16*y)/g1^13 - (t^7.265*y)/g1^9 + g1^7*t^7.683*y + g1^11*t^7.787*y + (2*t^8.477*y)/g1^20 + (2*t^8.582*y)/g1^16 + (3*t^8.686*y)/g1^12 + (t^8.739*y)/g1^10 + (3*t^8.791*y)/g1^8 + (2*t^8.843*y)/g1^6 + (3*t^8.895*y)/g1^4 + (t^8.948*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5780 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{5}M_{9}$ | 0.705 | 0.8719 | 0.8086 | [M:[1.0803, 1.0201, 0.8796, 0.9197, 1.0401, 1.0, 0.9599, 0.9197, 0.9599], q:[0.5, 0.4197], qb:[0.5803, 0.5401], phi:[0.49]] | t^2.639 + 2*t^2.759 + 2*t^2.88 + t^3. + t^3.06 + t^3.988 + t^4.229 + t^4.349 + 2*t^4.47 + t^4.59 + 2*t^4.711 + t^4.831 + t^4.952 + t^5.277 + 2*t^5.398 + 4*t^5.518 + 4*t^5.639 + t^5.699 + 3*t^5.759 + 2*t^5.819 + 2*t^5.94 - 3*t^6. - t^4.47/y - t^4.47*y | detail | |
| 5779 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{7}M_{9}$ | 0.6985 | 0.8589 | 0.8133 | [M:[1.0588, 1.0147, 0.9118, 0.9412, 1.0294, 1.0, 0.9706, 0.9412, 1.0294], q:[0.5, 0.4412], qb:[0.5588, 0.5294], phi:[0.4926]] | t^2.735 + 2*t^2.824 + t^3. + t^3.044 + 2*t^3.088 + t^4.125 + t^4.301 + t^4.39 + 2*t^4.478 + t^4.566 + 2*t^4.654 + t^4.743 + t^4.831 + t^5.471 + 2*t^5.559 + 2*t^5.647 + t^5.779 + 2*t^5.824 + 2*t^5.868 + 2*t^5.912 - 3*t^6. - t^4.478/y - t^4.478*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2343 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ | 0.7298 | 0.9024 | 0.8087 | [M:[1.0232, 1.0953, 0.7862, 0.9768, 0.8327, 1.0, 0.8094, 0.9768], q:[0.5, 0.4768], qb:[0.5232, 0.6906], phi:[0.4524]] | t^2.359 + t^2.428 + t^2.498 + 2*t^2.93 + t^3. + t^3.286 + t^4.218 + t^4.287 + 2*t^4.357 + t^4.427 + t^4.496 + t^4.717 + t^4.787 + 2*t^4.857 + t^4.859 + t^4.926 + t^4.929 + t^4.996 + t^4.998 + 2*t^5.289 + 2*t^5.359 + 2*t^5.428 + t^5.5 + t^5.645 + t^5.714 + t^5.784 + 2*t^5.861 - 3*t^6. - t^4.357/y - t^4.357*y | detail |