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 |
|---|---|---|---|---|---|---|---|---|---|
| 55040 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.5627 | 0.6956 | 0.8089 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.8731], q:[0.7063, 0.8651], qb:[0.2937, 0.4206], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [-2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.143 + t^2.619 + t^3. + t^3.048 + 2*t^3.429 + t^3.477 + t^3.809 + t^3.857 + t^4.286 + t^4.714 + t^4.762 + t^5.143 + t^5.191 + t^5.239 + t^5.571 + t^5.619 + t^5.667 - t^6. + 2*t^6.048 + 2*t^6.096 - t^6.381 + 2*t^6.429 + 3*t^6.477 + t^6.525 + 2*t^6.857 + 2*t^6.905 + t^6.953 + t^7.286 + 2*t^7.334 + t^7.382 + t^7.618 + t^7.714 + t^7.762 + t^7.81 + t^7.858 - t^8.095 - t^8.143 + t^8.191 + 2*t^8.239 + t^8.287 - t^8.523 + t^8.571 - t^8.619 + 2*t^8.667 + 2*t^8.715 - t^8.952 - t^4.286/y - t^6.905/y + t^7.666/y + t^7.762/y + t^8.143/y + t^8.191/y + (2*t^8.571)/y + (2*t^8.619)/y + t^8.667/y + t^8.952/y - t^4.286*y - t^6.905*y + t^7.666*y + t^7.762*y + t^8.143*y + t^8.191*y + 2*t^8.571*y + 2*t^8.619*y + t^8.667*y + t^8.952*y | t^2.143 + t^2.619/g1^2 + t^3. + t^3.048/g1^2 + 2*t^3.429 + t^3.477/g1^2 + g1^2*t^3.809 + t^3.857 + t^4.286 + t^4.714 + t^4.762/g1^2 + t^5.143 + t^5.191/g1^2 + t^5.239/g1^4 + t^5.571 + t^5.619/g1^2 + t^5.667/g1^4 - t^6. + (2*t^6.048)/g1^2 + (2*t^6.096)/g1^4 - g1^2*t^6.381 + 2*t^6.429 + (3*t^6.477)/g1^2 + t^6.525/g1^4 + 2*t^6.857 + (2*t^6.905)/g1^2 + t^6.953/g1^4 + t^7.286 + (2*t^7.334)/g1^2 + t^7.382/g1^4 + g1^4*t^7.618 + t^7.714 + t^7.762/g1^2 + t^7.81/g1^4 + t^7.858/g1^6 - g1^2*t^8.095 - t^8.143 + t^8.191/g1^2 + (2*t^8.239)/g1^4 + t^8.287/g1^6 - g1^2*t^8.523 + t^8.571 - t^8.619/g1^2 + (2*t^8.667)/g1^4 + (2*t^8.715)/g1^6 - g1^2*t^8.952 - t^4.286/y - t^6.905/(g1^2*y) + (g1^2*t^7.666)/y + t^7.762/(g1^2*y) + t^8.143/y + t^8.191/(g1^2*y) + (2*t^8.571)/y + (2*t^8.619)/(g1^2*y) + t^8.667/(g1^4*y) + (g1^2*t^8.952)/y - t^4.286*y - (t^6.905*y)/g1^2 + g1^2*t^7.666*y + (t^7.762*y)/g1^2 + t^8.143*y + (t^8.191*y)/g1^2 + 2*t^8.571*y + (2*t^8.619*y)/g1^2 + (t^8.667*y)/g1^4 + g1^2*t^8.952*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 |
|---|---|---|---|---|---|---|---|---|
| 56687 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5668 | 0.7007 | 0.8089 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429, 0.9286, 0.9286], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | t^2.143 + 2*t^2.786 + t^3. + 2*t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + t^4.714 + 2*t^4.929 + t^5.143 + 4*t^5.571 + 2*t^5.786 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 3555/6272, c: 4395/6272, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, M6: 13/14, M7: 13/14, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46800 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.5536 | 0.6786 | 0.8158 | [X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 1.1429], q:[0.6786, 0.8929], qb:[0.3214, 0.3929], phi:[0.4286]] | t^2.143 + t^3. + 2*t^3.214 + 2*t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + t^4.714 + t^5.143 + 2*t^5.357 + t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 12153/21952, c: 14897/21952, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 8/7, q1: 19/28, q2: 25/28, qb1: 9/28, qb2: 11/28, phi1: 3/7} |