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 |
|---|---|---|---|---|---|---|---|---|---|
| 380 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5986 | 0.7318 | 0.8179 | [X:[1.4911], M:[0.8772, 0.5089, 1.0, 0.8772], q:[0.8114, 0.8114], qb:[0.3114, 0.5569], phi:[0.3772]] | [X:[[8]], M:[[-2], [-8], [0], [-2]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.263 + t^2.605 + 2*t^2.632 + t^3. + t^3.737 + 2*t^4.105 + t^4.473 + t^4.527 + 2*t^4.868 + 2*t^4.895 + t^5.21 + 2*t^5.237 + 3*t^5.263 + t^5.605 - t^6. + t^6.341 + 2*t^6.368 - t^6.395 + 2*t^6.71 + 4*t^6.737 - 2*t^6.763 + t^6.79 + t^7.078 + 2*t^7.105 + 2*t^7.159 + t^7.473 + 2*t^7.5 + 3*t^7.527 + t^7.815 + 2*t^7.841 + 2*t^7.868 + 2*t^7.895 + 4*t^8.21 - 2*t^8.237 - 2*t^8.263 + 2*t^8.578 - 2*t^8.605 - 4*t^8.632 + 2*t^8.946 + 2*t^8.973 - t^4.132/y - t^6.395/y - (2*t^6.763)/y + (2*t^7.5)/y + (2*t^7.868)/y + (2*t^7.895)/y + (2*t^8.237)/y + (2*t^8.263)/y + t^8.605/y + (2*t^8.632)/y - t^8.659/y - t^4.132*y - t^6.395*y - 2*t^6.763*y + 2*t^7.5*y + 2*t^7.868*y + 2*t^7.895*y + 2*t^8.237*y + 2*t^8.263*y + t^8.605*y + 2*t^8.632*y - t^8.659*y | t^2.263/g1^4 + g1^6*t^2.605 + (2*t^2.632)/g1^2 + t^3. + g1^4*t^3.737 + 2*g1^6*t^4.105 + g1^8*t^4.473 + t^4.527/g1^8 + 2*g1^2*t^4.868 + (2*t^4.895)/g1^6 + g1^12*t^5.21 + 2*g1^4*t^5.237 + (3*t^5.263)/g1^4 + g1^6*t^5.605 - t^6. + g1^10*t^6.341 + 2*g1^2*t^6.368 - t^6.395/g1^6 + 2*g1^12*t^6.71 + 4*g1^4*t^6.737 - (2*t^6.763)/g1^4 + t^6.79/g1^12 + g1^14*t^7.078 + 2*g1^6*t^7.105 + (2*t^7.159)/g1^10 + g1^8*t^7.473 + 2*t^7.5 + (3*t^7.527)/g1^8 + g1^18*t^7.815 + 2*g1^10*t^7.841 + 2*g1^2*t^7.868 + (2*t^7.895)/g1^6 + 4*g1^12*t^8.21 - 2*g1^4*t^8.237 - (2*t^8.263)/g1^4 + 2*g1^14*t^8.578 - 2*g1^6*t^8.605 - (4*t^8.632)/g1^2 + 2*g1^16*t^8.946 + 2*g1^8*t^8.973 - t^4.132/(g1^2*y) - t^6.395/(g1^6*y) - (2*t^6.763)/(g1^4*y) + (2*t^7.5)/y + (2*g1^2*t^7.868)/y + (2*t^7.895)/(g1^6*y) + (2*g1^4*t^8.237)/y + (2*t^8.263)/(g1^4*y) + (g1^6*t^8.605)/y + (2*t^8.632)/(g1^2*y) - t^8.659/(g1^10*y) - (t^4.132*y)/g1^2 - (t^6.395*y)/g1^6 - (2*t^6.763*y)/g1^4 + 2*t^7.5*y + 2*g1^2*t^7.868*y + (2*t^7.895*y)/g1^6 + 2*g1^4*t^8.237*y + (2*t^8.263*y)/g1^4 + g1^6*t^8.605*y + (2*t^8.632*y)/g1^2 - (t^8.659*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 618 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6177 | 0.7659 | 0.8065 | [X:[1.5134], M:[0.8717, 0.4866, 1.0, 0.8717, 0.7433], q:[0.8142, 0.8142], qb:[0.3142, 0.5709], phi:[0.3717]] | 2*t^2.23 + 2*t^2.615 + t^2.655 + t^3. + 2*t^4.155 + 3*t^4.46 + t^4.54 + 4*t^4.845 + 3*t^4.885 + 4*t^5.23 + 2*t^5.27 + t^5.31 + t^5.655 - 2*t^6. - t^4.115/y - t^4.115*y | detail | |
| 620 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5801 | 0.7001 | 0.8285 | [X:[1.4633], M:[0.8842, 0.5367, 1.0, 0.8842, 1.2317], q:[0.8079, 0.8079], qb:[0.3079, 0.5396], phi:[0.3842]] | t^2.542 + 2*t^2.653 + t^3. + 2*t^3.695 + 2*t^4.042 + t^4.39 + t^4.847 + t^5.085 + 2*t^5.195 + 2*t^5.305 + t^5.542 - 2*t^6. - t^4.153/y - t^4.153*y | detail | |
| 617 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.5651 | 0.6693 | 0.8444 | [X:[1.6667, 1.3333], M:[0.8333, 0.3333, 1.0, 0.8333], q:[0.8333, 0.8333], qb:[0.3333, 0.6667], phi:[0.3333]] | 2*t^2.5 + 2*t^3. + 2*t^4. + 2*t^4.5 + 4*t^5. + 2*t^5.5 - t^6. - t^4./y - t^4.*y | detail | {a: 217/384, c: 257/384, X1: 5/3, X2: 4/3, M1: 5/6, M2: 1/3, M3: 1, M4: 5/6, q1: 5/6, q2: 5/6, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 240 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ | 0.5879 | 0.7149 | 0.8223 | [X:[1.4675], M:[0.8831, 0.5325, 1.0], q:[0.8084, 0.8084], qb:[0.3084, 0.5422], phi:[0.3831]] | t^2.299 + t^2.552 + t^2.649 + t^3. + t^3.351 + t^3.701 + 2*t^4.052 + t^4.402 + t^4.598 + 2*t^4.851 + t^4.948 + t^5.104 + t^5.201 + t^5.299 + t^5.552 + t^5.902 - t^4.149/y - t^4.149*y | detail |