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 |
|---|---|---|---|---|---|---|---|---|---|
| 3190 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.603 | 0.7726 | 0.7805 | [M:[1.0009, 0.7128, 0.9991, 0.7147, 1.2853, 1.0009, 0.7147], q:[0.6427, 0.3564], qb:[0.3583, 0.9289], phi:[0.4284]] | [M:[[14], [-22], [-14], [6], [-6], [14], [6]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -2 | t^2.139 + 2*t^2.144 + t^2.571 + 2*t^3.003 + t^3.424 + t^3.429 + t^3.435 + t^4.277 + 2*t^4.283 + 3*t^4.288 + t^4.709 + 3*t^4.715 + 3*t^5.141 + 4*t^5.147 + t^5.562 + 2*t^5.568 + 4*t^5.573 + 2*t^5.579 - 2*t^6. + 3*t^6.006 + t^6.416 + 2*t^6.421 + 3*t^6.427 + 4*t^6.432 + 2*t^6.438 + 2*t^6.848 + 2*t^6.853 + 3*t^6.859 + t^6.87 + 2*t^7.28 + 4*t^7.285 + 4*t^7.291 + t^7.701 + 2*t^7.706 + 4*t^7.712 + 7*t^7.717 + 3*t^7.723 - 3*t^8.139 - t^8.144 + 6*t^8.15 + t^8.554 + 2*t^8.56 + 3*t^8.565 + 7*t^8.576 + 4*t^8.582 + 2*t^8.986 + 3*t^8.992 - t^8.997 - t^4.285/y - t^6.424/y - t^6.429/y - t^6.856/y + (3*t^7.283)/y + t^7.709/y + (3*t^7.715)/y + (3*t^8.141)/y + (5*t^8.147)/y + (2*t^8.568)/y + (4*t^8.573)/y + (2*t^8.579)/y - t^4.285*y - t^6.424*y - t^6.429*y - t^6.856*y + 3*t^7.283*y + t^7.709*y + 3*t^7.715*y + 3*t^8.141*y + 5*t^8.147*y + 2*t^8.568*y + 4*t^8.573*y + 2*t^8.579*y | t^2.139/g1^22 + 2*g1^6*t^2.144 + t^2.571/g1^4 + 2*g1^14*t^3.003 + t^3.424/g1^24 + g1^4*t^3.429 + g1^32*t^3.435 + t^4.277/g1^44 + (2*t^4.283)/g1^16 + 3*g1^12*t^4.288 + t^4.709/g1^26 + 3*g1^2*t^4.715 + (3*t^5.141)/g1^8 + 4*g1^20*t^5.147 + t^5.562/g1^46 + (2*t^5.568)/g1^18 + 4*g1^10*t^5.573 + 2*g1^38*t^5.579 - 2*t^6. + 3*g1^28*t^6.006 + t^6.416/g1^66 + (2*t^6.421)/g1^38 + (3*t^6.427)/g1^10 + 4*g1^18*t^6.432 + 2*g1^46*t^6.438 + (2*t^6.848)/g1^48 + (2*t^6.853)/g1^20 + 3*g1^8*t^6.859 + g1^64*t^6.87 + (2*t^7.28)/g1^30 + (4*t^7.285)/g1^2 + 4*g1^26*t^7.291 + t^7.701/g1^68 + (2*t^7.706)/g1^40 + (4*t^7.712)/g1^12 + 7*g1^16*t^7.717 + 3*g1^44*t^7.723 - (3*t^8.139)/g1^22 - g1^6*t^8.144 + 6*g1^34*t^8.15 + t^8.554/g1^88 + (2*t^8.56)/g1^60 + (3*t^8.565)/g1^32 + 7*g1^24*t^8.576 + 4*g1^52*t^8.582 + (2*t^8.986)/g1^70 + (3*t^8.992)/g1^42 - t^8.997/g1^14 - t^4.285/(g1^2*y) - t^6.424/(g1^24*y) - (g1^4*t^6.429)/y - t^6.856/(g1^6*y) + (3*t^7.283)/(g1^16*y) + t^7.709/(g1^26*y) + (3*g1^2*t^7.715)/y + (3*t^8.141)/(g1^8*y) + (5*g1^20*t^8.147)/y + (2*t^8.568)/(g1^18*y) + (4*g1^10*t^8.573)/y + (2*g1^38*t^8.579)/y - (t^4.285*y)/g1^2 - (t^6.424*y)/g1^24 - g1^4*t^6.429*y - (t^6.856*y)/g1^6 + (3*t^7.283*y)/g1^16 + (t^7.709*y)/g1^26 + 3*g1^2*t^7.715*y + (3*t^8.141*y)/g1^8 + 5*g1^20*t^8.147*y + (2*t^8.568*y)/g1^18 + 4*g1^10*t^8.573*y + 2*g1^38*t^8.579*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 |
|---|---|---|---|---|---|---|---|---|
| 5073 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6156 | 0.7941 | 0.7752 | [M:[1.0046, 0.7071, 0.9954, 0.7162, 1.2838, 1.0046, 0.7162, 0.8558], q:[0.6419, 0.3536], qb:[0.3627, 0.9302], phi:[0.4279]] | t^2.121 + 2*t^2.149 + 2*t^2.568 + 2*t^3.014 + t^3.405 + t^3.46 + t^4.243 + 2*t^4.27 + 3*t^4.297 + 2*t^4.689 + 5*t^4.716 + 5*t^5.135 + 4*t^5.162 + t^5.526 + t^5.554 + 4*t^5.581 + 2*t^5.609 + t^5.973 - 3*t^6. - t^4.284/y - t^4.284*y | detail | |
| 5072 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6167 | 0.7979 | 0.7729 | [M:[0.9814, 0.7436, 1.0186, 0.7063, 1.2937, 0.9814, 0.7063, 0.8252], q:[0.6468, 0.3718], qb:[0.3345, 0.9219], phi:[0.4312]] | 2*t^2.119 + t^2.231 + t^2.476 + t^2.587 + 2*t^2.944 + t^3.301 + t^3.413 + 3*t^4.238 + 2*t^4.35 + t^4.461 + 2*t^4.595 + 4*t^4.706 + t^4.818 + t^4.951 + 5*t^5.063 + 3*t^5.175 + 4*t^5.42 + 4*t^5.532 + t^5.776 + 4*t^5.888 - 2*t^6. - t^4.294/y - t^4.294*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2103 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5827 | 0.7345 | 0.7934 | [M:[1.0027, 0.71, 0.9973, 0.7155, 1.2845, 1.0027], q:[0.6423, 0.355], qb:[0.3605, 0.9296], phi:[0.4282]] | t^2.13 + t^2.146 + t^2.569 + 2*t^3.008 + t^3.414 + t^3.431 + t^3.447 + t^3.854 + t^4.26 + t^4.276 + t^4.293 + t^4.699 + 2*t^4.715 + 3*t^5.138 + 2*t^5.155 + t^5.544 + t^5.561 + 3*t^5.577 + t^5.594 + t^5.984 - t^6. - t^4.285/y - t^4.285*y | detail |