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 |
|---|---|---|---|---|---|---|---|---|---|
| 4715 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6877 | 0.8555 | 0.8038 | [X:[1.315], M:[1.1417, 0.685, 0.8267, 1.0, 1.0, 0.8267, 0.8583, 0.8583, 1.0867], q:[0.5158, 0.3425], qb:[0.6575, 0.6575], phi:[0.4567]] | [X:[[0, 6]], M:[[0, -10], [0, -6], [1, -19], [-1, 3], [1, -3], [-1, -13], [0, 10], [0, 10], [0, 8]], q:[[0, 13], [0, -3]], qb:[[-1, 6], [1, 0]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{9}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{3}M_{9}$, ${ }M_{6}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{8}M_{9}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$ | -3 | 2*t^2.48 + 2*t^2.575 + 2*t^3. + t^3.26 + 2*t^3.945 + 2*t^4.37 + t^4.465 + 2*t^4.89 + 3*t^4.96 + 2*t^5.055 + 3*t^5.15 + 3*t^5.315 + 3*t^5.48 + 2*t^5.575 + 2*t^5.74 + 2*t^5.835 - 3*t^6. + 2*t^6.26 + 3*t^6.52 - t^6.685 + 3*t^6.85 + 4*t^6.945 + 2*t^7.04 + t^7.205 + 2*t^7.37 + 4*t^7.44 + 4*t^7.465 + 2*t^7.535 + 2*t^7.63 + 4*t^7.725 + 4*t^7.795 + 6*t^7.89 + 4*t^7.96 + t^8.055 + 2*t^8.15 + 3*t^8.22 + 6*t^8.315 + 4*t^8.41 - 6*t^8.48 - 7*t^8.575 + 3*t^8.74 + 4*t^8.835 - t^8.905 + t^8.93 - t^4.37/y - (2*t^6.85)/y - t^6.945/y + t^7.795/y + (2*t^7.89)/y + t^7.96/y + (4*t^8.055)/y + t^8.15/y + (4*t^8.48)/y + (4*t^8.575)/y + (2*t^8.74)/y + (2*t^8.835)/y - t^4.37*y - 2*t^6.85*y - t^6.945*y + t^7.795*y + 2*t^7.89*y + t^7.96*y + 4*t^8.055*y + t^8.15*y + 4*t^8.48*y + 4*t^8.575*y + 2*t^8.74*y + 2*t^8.835*y | (g1*t^2.48)/g2^19 + t^2.48/(g1*g2^13) + 2*g2^10*t^2.575 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^8*t^3.26 + 2*g2^6*t^3.945 + (g1*t^4.37)/g2^7 + t^4.37/(g1*g2) + g2^22*t^4.465 + g1*g2^9*t^4.89 + (g2^15*t^4.89)/g1 + (g1^2*t^4.96)/g2^38 + t^4.96/g2^32 + t^4.96/(g1^2*g2^26) + (g1*t^5.055)/g2^9 + t^5.055/(g1*g2^3) + 3*g2^20*t^5.15 + (g1^2*t^5.315)/g2^4 + g2^2*t^5.315 + (g2^8*t^5.315)/g1^2 + (g1^2*t^5.48)/g2^22 + t^5.48/g2^16 + t^5.48/(g1^2*g2^10) + g1*g2^7*t^5.575 + (g2^13*t^5.575)/g1 + (g1*t^5.74)/g2^11 + t^5.74/(g1*g2^5) + 2*g2^18*t^5.835 - 3*t^6. + g1*g2^5*t^6.26 + (g2^11*t^6.26)/g1 + 3*g2^16*t^6.52 - t^6.685/g2^2 + (g1^2*t^6.85)/g2^26 + t^6.85/g2^20 + t^6.85/(g1^2*g2^14) + 2*g1*g2^3*t^6.945 + (2*g2^9*t^6.945)/g1 + 2*g2^32*t^7.04 + g2^14*t^7.205 + (g1^2*t^7.37)/g2^10 + (g2^2*t^7.37)/g1^2 + (g1^3*t^7.44)/g2^57 + (g1*t^7.44)/g2^51 + t^7.44/(g1*g2^45) + t^7.44/(g1^3*g2^39) + 2*g1*g2^19*t^7.465 + (2*g2^25*t^7.465)/g1 + (g1^2*t^7.535)/g2^28 + t^7.535/(g1^2*g2^16) + g1*g2*t^7.63 + (g2^7*t^7.63)/g1 + 4*g2^30*t^7.725 + (g1^3*t^7.795)/g2^23 + (g1*t^7.795)/g2^17 + t^7.795/(g1*g2^11) + t^7.795/(g1^3*g2^5) + 2*g1^2*g2^6*t^7.89 + 2*g2^12*t^7.89 + (2*g2^18*t^7.89)/g1^2 + (g1^3*t^7.96)/g2^41 + (g1*t^7.96)/g2^35 + t^7.96/(g1*g2^29) + t^7.96/(g1^3*g2^23) + t^8.055/g1^2 + (g1^2*t^8.055)/g2^12 - t^8.055/g2^6 + g1*g2^17*t^8.15 + (g2^23*t^8.15)/g1 + (g1^2*t^8.22)/g2^30 + t^8.22/g2^24 + t^8.22/(g1^2*g2^18) + (g1^3*t^8.315)/g2^7 + (2*g1*t^8.315)/g2 + (2*g2^5*t^8.315)/g1 + (g2^11*t^8.315)/g1^3 + 4*g2^28*t^8.41 - (3*g1*t^8.48)/g2^19 - (3*t^8.48)/(g1*g2^13) - 7*g2^10*t^8.575 + (g1^2*t^8.74)/g2^14 + t^8.74/g2^8 + t^8.74/(g1^2*g2^2) + 2*g1*g2^15*t^8.835 + (2*g2^21*t^8.835)/g1 - t^8.905/g2^26 + g2^44*t^8.93 - t^4.37/(g2^4*y) - (g1*t^6.85)/(g2^23*y) - t^6.85/(g1*g2^17*y) - (g2^6*t^6.945)/y + t^7.795/(g2^14*y) + (g1*g2^9*t^7.89)/y + (g2^15*t^7.89)/(g1*y) + t^7.96/(g2^32*y) + (2*g1*t^8.055)/(g2^9*y) + (2*t^8.055)/(g1*g2^3*y) + (g2^20*t^8.15)/y + (g1^2*t^8.48)/(g2^22*y) + (2*t^8.48)/(g2^16*y) + t^8.48/(g1^2*g2^10*y) + (2*g1*g2^7*t^8.575)/y + (2*g2^13*t^8.575)/(g1*y) + (g1*t^8.74)/(g2^11*y) + t^8.74/(g1*g2^5*y) + (2*g2^18*t^8.835)/y - (t^4.37*y)/g2^4 - (g1*t^6.85*y)/g2^23 - (t^6.85*y)/(g1*g2^17) - g2^6*t^6.945*y + (t^7.795*y)/g2^14 + g1*g2^9*t^7.89*y + (g2^15*t^7.89*y)/g1 + (t^7.96*y)/g2^32 + (2*g1*t^8.055*y)/g2^9 + (2*t^8.055*y)/(g1*g2^3) + g2^20*t^8.15*y + (g1^2*t^8.48*y)/g2^22 + (2*t^8.48*y)/g2^16 + (t^8.48*y)/(g1^2*g2^10) + 2*g1*g2^7*t^8.575*y + (2*g2^13*t^8.575*y)/g1 + (g1*t^8.74*y)/g2^11 + (t^8.74*y)/(g1*g2^5) + 2*g2^18*t^8.835*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 |
|---|---|---|---|---|---|---|---|---|
| 6294 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ + ${ }M_{10}M_{7}$ | 0.6758 | 0.8351 | 0.8092 | [X:[1.3241], M:[1.1265, 0.6759, 0.8024, 1.0, 1.0, 0.8024, 0.8735, 0.8735, 1.0988, 1.1265], q:[0.5356, 0.3379], qb:[0.6621, 0.6621], phi:[0.4506]] | 2*t^2.407 + t^2.621 + 2*t^3. + t^3.296 + t^3.379 + 2*t^3.972 + 2*t^4.352 + t^4.565 + 3*t^4.814 + 2*t^4.945 + t^5.241 + 3*t^5.324 + 3*t^5.407 + 2*t^5.704 + 2*t^5.787 + t^5.917 - 2*t^6. - t^4.352/y - t^4.352*y | detail | |
| 6297 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ + ${ }M_{10}\phi_{1}q_{1}q_{2}$ | 0.7084 | 0.8959 | 0.7907 | [X:[1.3157], M:[1.1406, 0.6843, 0.8249, 1.0, 1.0, 0.8249, 0.8594, 0.8594, 1.0875, 0.6843], q:[0.5172, 0.3422], qb:[0.6578, 0.6578], phi:[0.4562]] | t^2.053 + 2*t^2.475 + 2*t^2.578 + 2*t^3. + t^3.263 + t^3.947 + t^4.106 + 2*t^4.369 + t^4.472 + 2*t^4.528 + 2*t^4.631 + 2*t^4.894 + 3*t^4.95 + 4*t^5.053 + 3*t^5.157 + 4*t^5.316 + 3*t^5.475 + 2*t^5.578 + 2*t^5.737 + 2*t^5.841 - 2*t^6. - t^4.369/y - t^4.369*y | detail | |
| 6291 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6688 | 0.8365 | 0.7995 | [X:[1.3163], M:[1.1396, 0.6837, 0.7093, 1.114, 0.886, 0.9372, 0.8604, 0.8604, 1.0884], q:[0.5186, 0.3419], qb:[0.7721, 0.5442], phi:[0.4558]] | t^2.128 + 2*t^2.581 + t^2.658 + t^2.812 + t^3.265 + t^3.342 + 2*t^3.949 + t^4.026 + t^4.256 + t^4.479 + t^4.556 + t^4.633 + 2*t^4.709 + t^4.786 + t^4.94 + 3*t^5.163 + 2*t^5.239 + t^5.316 + 2*t^5.393 + t^5.47 + t^5.623 + 2*t^5.846 + 2*t^5.923 - 2*t^6. - t^4.367/y - t^4.367*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail |