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 |
|---|---|---|---|---|---|---|---|---|---|
| 46520 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7183 | 0.8774 | 0.8187 | [M:[0.8187, 0.8187, 1.0, 1.0, 1.0906], q:[0.6359, 0.5453], qb:[0.5453, 0.4547], phi:[0.4547]] | [M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [0, -2]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$ | -3 | 2*t^2.456 + 2*t^3. + 3*t^3.272 + t^4.092 + 2*t^4.364 + 4*t^4.636 + 2*t^4.908 + 3*t^4.912 + t^5.18 + 3*t^5.456 + 2*t^5.728 - 3*t^6. + 2*t^6.272 + 4*t^6.544 + 2*t^6.548 + 3*t^6.82 + 6*t^7.092 + 4*t^7.364 + 4*t^7.369 + 6*t^7.636 + 6*t^7.908 + 4*t^7.912 + 2*t^8.18 + 3*t^8.184 + t^8.452 - 4*t^8.456 + 2*t^8.728 - t^4.364/y - (2*t^6.82)/y + (2*t^7.908)/y + t^7.912/y + (4*t^8.456)/y + (6*t^8.728)/y - t^4.364*y - 2*t^6.82*y + 2*t^7.908*y + t^7.912*y + 4*t^8.456*y + 6*t^8.728*y | (g2^3*t^2.456)/g1 + g1*g2^5*t^2.456 + t^3./(g1*g2) + g1*g2*t^3. + (3*t^3.272)/g2^2 + g2^3*t^4.092 + t^4.364/g1 + g1*g2^2*t^4.364 + t^4.636/(g1^2*g2^3) + (2*t^4.636)/g2 + g1^2*g2*t^4.636 + t^4.908/(g1*g2^4) + (g1*t^4.908)/g2^2 + (g2^6*t^4.912)/g1^2 + g2^8*t^4.912 + g1^2*g2^10*t^4.912 + t^5.18/g2^5 + (g2^2*t^5.456)/g1^2 + g2^4*t^5.456 + g1^2*g2^6*t^5.456 + (g2*t^5.728)/g1 + g1*g2^3*t^5.728 - 3*t^6. + t^6.272/(g1*g2^3) + (g1*t^6.272)/g2 + (4*t^6.544)/g2^4 + (g2^6*t^6.548)/g1 + g1*g2^8*t^6.548 + (g2^3*t^6.82)/g1^2 + g2^5*t^6.82 + g1^2*g2^7*t^6.82 + t^7.092/g1^3 + (2*g2^2*t^7.092)/g1 + 2*g1*g2^4*t^7.092 + g1^3*g2^6*t^7.092 + t^7.364/(g1^2*g2) + 2*g2*t^7.364 + g1^2*g2^3*t^7.364 + (g2^9*t^7.369)/g1^3 + (g2^11*t^7.369)/g1 + g1*g2^13*t^7.369 + g1^3*g2^15*t^7.369 + 2*g1*t^7.636 + t^7.636/(g1^3*g2^4) + (2*t^7.636)/(g1*g2^2) + g1^3*g2^2*t^7.636 + (2*t^7.908)/(g1^2*g2^5) + (2*t^7.908)/g2^3 + (2*g1^2*t^7.908)/g2 + (g2^5*t^7.912)/g1^3 + (g2^7*t^7.912)/g1 + g1*g2^9*t^7.912 + g1^3*g2^11*t^7.912 + t^8.18/(g1*g2^6) + (g1*t^8.18)/g2^4 + (g2^4*t^8.184)/g1^2 + g2^6*t^8.184 + g1^2*g2^8*t^8.184 + t^8.452/g2^7 - (2*g2^3*t^8.456)/g1 - 2*g1*g2^5*t^8.456 + t^8.728/g1^2 + g1^2*g2^4*t^8.728 - (g2*t^4.364)/y - (g2^4*t^6.82)/(g1*y) - (g1*g2^6*t^6.82)/y + t^7.908/(g1*g2^4*y) + (g1*t^7.908)/(g2^2*y) + (g2^8*t^7.912)/y + (g2^2*t^8.456)/(g1^2*y) + (2*g2^4*t^8.456)/y + (g1^2*g2^6*t^8.456)/y + (3*g2*t^8.728)/(g1*y) + (3*g1*g2^3*t^8.728)/y - g2*t^4.364*y - (g2^4*t^6.82*y)/g1 - g1*g2^6*t^6.82*y + (t^7.908*y)/(g1*g2^4) + (g1*t^7.908*y)/g2^2 + g2^8*t^7.912*y + (g2^2*t^8.456*y)/g1^2 + 2*g2^4*t^8.456*y + g1^2*g2^6*t^8.456*y + (3*g2*t^8.728*y)/g1 + 3*g1*g2^3*t^8.728*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 |
|---|---|---|---|---|---|---|---|---|
| 46815 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6998 | 0.8569 | 0.8166 | [M:[0.885, 1.0, 1.0575, 0.9425, 1.0287], q:[0.5431, 0.5718], qb:[0.4569, 0.4856], phi:[0.4856]] | t^2.655 + t^2.828 + t^3. + 3*t^3.086 + t^3.172 + t^4.198 + t^4.284 + t^4.371 + t^4.457 + 2*t^4.543 + t^4.629 + t^4.716 + t^4.802 + t^4.888 + t^5.31 + t^5.483 + t^5.655 + t^5.741 + t^5.828 + t^5.914 - 2*t^6. - t^4.457/y - t^4.457*y | detail | |
| 48151 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7195 | 0.8802 | 0.8175 | [M:[0.7937, 0.8444, 1.0253, 0.9747, 1.0905, 0.9747], q:[0.6357, 0.5706], qb:[0.5199, 0.4548], phi:[0.4548]] | t^2.381 + t^2.533 + 2*t^2.924 + 3*t^3.271 + t^4.093 + t^4.288 + t^4.44 + t^4.484 + 2*t^4.636 + t^4.762 + t^4.788 + t^4.831 + t^4.914 + t^4.983 + t^5.066 + t^5.179 + 2*t^5.305 + t^5.457 + t^5.653 + t^5.805 + 2*t^5.848 - 4*t^6. - t^4.364/y - t^4.364*y | detail | |
| 47191 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ | 0.6022 | 0.7272 | 0.8281 | [X:[1.6128], M:[0.7104, 0.3872, 0.8384, 1.1616, 1.2256], q:[0.8384, 0.4512], qb:[0.7744, 0.3872], phi:[0.3872]] | t^2.131 + t^2.515 + 2*t^3.485 + 4*t^3.677 + t^3.869 + t^4.263 + t^4.646 + t^4.838 + t^5.03 + 2*t^5.616 + 2*t^5.808 - 2*t^6. - t^4.162/y - t^4.162*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46233 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. - t^4.346/y - t^4.346*y | detail |