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 |
---|---|---|---|---|---|---|---|---|---|
55542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6101 | 0.7813 | 0.7809 | [M:[1.0, 0.9106, 0.6941, 1.0447, 0.7388, 1.2612], q:[0.7612, 0.2388], qb:[0.5447, 0.5447], phi:[0.4776]] | [M:[[0], [-8], [-5], [4], [-1], [1]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | -3 | t^2.082 + 2*t^2.351 + t^2.732 + t^2.866 + t^3. + t^3.134 + 2*t^3.784 + t^3.918 + t^4.165 + 2*t^4.433 + 6*t^4.701 + t^4.814 + t^4.948 + t^5.082 + 3*t^5.216 + 2*t^5.351 + t^5.464 + 2*t^5.485 + t^5.598 + 2*t^5.732 + 3*t^5.866 - 3*t^6. + 4*t^6.134 + t^6.247 + 2*t^6.268 + 2*t^6.515 + t^6.649 + 5*t^6.784 + t^6.896 - t^6.918 + t^7.031 + 9*t^7.052 + t^7.165 + 3*t^7.299 + t^7.546 + 6*t^7.567 + t^7.68 + 4*t^7.701 + 2*t^7.814 + 4*t^7.835 + 3*t^7.948 - t^8.082 + t^8.195 + 4*t^8.216 + 2*t^8.329 - 8*t^8.351 + 2*t^8.464 + 8*t^8.485 + 4*t^8.598 + 4*t^8.619 + t^8.979 - t^4.433/y - t^6.515/y - t^7.165/y + (2*t^7.433)/y + (2*t^7.701)/y + t^7.814/y + t^7.948/y + (3*t^8.082)/y + (3*t^8.216)/y + (3*t^8.351)/y + (2*t^8.485)/y + t^8.732/y + (4*t^8.866)/y - t^4.433*y - t^6.515*y - t^7.165*y + 2*t^7.433*y + 2*t^7.701*y + t^7.814*y + t^7.948*y + 3*t^8.082*y + 3*t^8.216*y + 3*t^8.351*y + 2*t^8.485*y + t^8.732*y + 4*t^8.866*y | t^2.082/g1^5 + 2*g1^3*t^2.351 + t^2.732/g1^8 + t^2.866/g1^4 + t^3. + g1^4*t^3.134 + 2*g1*t^3.784 + g1^5*t^3.918 + t^4.165/g1^10 + (2*t^4.433)/g1^2 + 6*g1^6*t^4.701 + t^4.814/g1^13 + t^4.948/g1^9 + t^5.082/g1^5 + (3*t^5.216)/g1 + 2*g1^3*t^5.351 + t^5.464/g1^16 + 2*g1^7*t^5.485 + t^5.598/g1^12 + (2*t^5.732)/g1^8 + (3*t^5.866)/g1^4 - 3*t^6. + 4*g1^4*t^6.134 + t^6.247/g1^15 + 2*g1^8*t^6.268 + (2*t^6.515)/g1^7 + t^6.649/g1^3 + 5*g1*t^6.784 + t^6.896/g1^18 - g1^5*t^6.918 + t^7.031/g1^14 + 9*g1^9*t^7.052 + t^7.165/g1^10 + (3*t^7.299)/g1^6 + t^7.546/g1^21 + 6*g1^2*t^7.567 + t^7.68/g1^17 + 4*g1^6*t^7.701 + (2*t^7.814)/g1^13 + 4*g1^10*t^7.835 + (3*t^7.948)/g1^9 - t^8.082/g1^5 + t^8.195/g1^24 + (4*t^8.216)/g1 + (2*t^8.329)/g1^20 - 8*g1^3*t^8.351 + (2*t^8.464)/g1^16 + 8*g1^7*t^8.485 + (4*t^8.598)/g1^12 + 4*g1^11*t^8.619 + t^8.979/g1^23 - t^4.433/(g1^2*y) - t^6.515/(g1^7*y) - t^7.165/(g1^10*y) + (2*t^7.433)/(g1^2*y) + (2*g1^6*t^7.701)/y + t^7.814/(g1^13*y) + t^7.948/(g1^9*y) + (3*t^8.082)/(g1^5*y) + (3*t^8.216)/(g1*y) + (3*g1^3*t^8.351)/y + (2*g1^7*t^8.485)/y + t^8.732/(g1^8*y) + (4*t^8.866)/(g1^4*y) - (t^4.433*y)/g1^2 - (t^6.515*y)/g1^7 - (t^7.165*y)/g1^10 + (2*t^7.433*y)/g1^2 + 2*g1^6*t^7.701*y + (t^7.814*y)/g1^13 + (t^7.948*y)/g1^9 + (3*t^8.082*y)/g1^5 + (3*t^8.216*y)/g1 + 3*g1^3*t^8.351*y + 2*g1^7*t^8.485*y + (t^8.732*y)/g1^8 + (4*t^8.866*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 |
---|---|---|---|---|---|---|---|---|
57111 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6151 | 0.7898 | 0.7787 | [M:[1.0, 0.8768, 0.673, 1.0616, 0.7346, 1.2654, 0.9384], q:[0.7654, 0.2346], qb:[0.5616, 0.5616], phi:[0.4692]] | t^2.019 + 2*t^2.389 + t^2.63 + 2*t^2.815 + t^3. + 2*t^3.796 + t^3.981 + t^4.038 + 2*t^4.408 + t^4.649 + 6*t^4.777 + 2*t^4.834 + t^5.019 + 4*t^5.204 + t^5.261 + 2*t^5.389 + 2*t^5.446 + 4*t^5.63 + 3*t^5.815 - 4*t^6. - t^4.408/y - t^4.408*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 |
---|---|---|---|---|---|---|---|---|---|
47144 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6296 | 0.8171 | 0.7705 | [M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.076 + t^2.215 + 2*t^2.354 + t^2.722 + t^2.861 + t^3. + t^3.139 + t^3.785 + t^3.924 + t^4.152 + t^4.291 + 3*t^4.43 + 2*t^4.57 + 6*t^4.709 + t^4.798 + 2*t^4.937 + 2*t^5.076 + 4*t^5.215 + 3*t^5.354 + t^5.443 + 2*t^5.494 + t^5.582 + 2*t^5.722 + 2*t^5.861 - 2*t^6. - t^4.43/y - t^4.43*y | detail |