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 |
|---|---|---|---|---|---|---|---|---|---|
| 2808 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.5753 | 0.7171 | 0.8022 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8731], q:[0.3491, 0.6509], qb:[0.3651, 0.9206], phi:[0.4286]] | [X:[[0]], M:[[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 |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | 0 | t^2.143 + t^2.571 + t^2.619 + t^3. + t^3.048 + t^3.429 + t^3.477 + t^3.809 + t^3.857 + t^4.286 + 2*t^4.714 + t^4.762 + 2*t^5.143 + 2*t^5.191 + t^5.239 + t^5.571 + 2*t^5.619 + t^5.667 + 2*t^6.048 + 2*t^6.096 + 2*t^6.429 + 2*t^6.477 + t^6.525 + t^6.857 + t^6.905 + t^6.953 - t^7.238 + 2*t^7.286 + 3*t^7.334 + t^7.382 + t^7.618 + 2*t^7.714 + 3*t^7.762 + 2*t^7.81 + t^7.858 - t^8.095 - t^8.143 + 2*t^8.191 + 3*t^8.239 + t^8.287 - t^8.523 + 3*t^8.667 + 2*t^8.715 - t^8.952 - t^4.286/y - t^6.857/y - t^6.905/y + t^7.666/y + (2*t^7.714)/y + t^7.762/y + t^8.143/y + (2*t^8.191)/y + (2*t^8.571)/y + (3*t^8.619)/y + t^8.667/y + t^8.952/y - t^4.286*y - t^6.857*y - t^6.905*y + t^7.666*y + 2*t^7.714*y + t^7.762*y + t^8.143*y + 2*t^8.191*y + 2*t^8.571*y + 3*t^8.619*y + t^8.667*y + t^8.952*y | t^2.143 + t^2.571 + t^2.619/g1^2 + t^3. + t^3.048/g1^2 + t^3.429 + t^3.477/g1^2 + g1^2*t^3.809 + t^3.857 + t^4.286 + 2*t^4.714 + t^4.762/g1^2 + 2*t^5.143 + (2*t^5.191)/g1^2 + t^5.239/g1^4 + t^5.571 + (2*t^5.619)/g1^2 + t^5.667/g1^4 + (2*t^6.048)/g1^2 + (2*t^6.096)/g1^4 + 2*t^6.429 + (2*t^6.477)/g1^2 + t^6.525/g1^4 + t^6.857 + t^6.905/g1^2 + t^6.953/g1^4 - g1^2*t^7.238 + 2*t^7.286 + (3*t^7.334)/g1^2 + t^7.382/g1^4 + g1^4*t^7.618 + 2*t^7.714 + (3*t^7.762)/g1^2 + (2*t^7.81)/g1^4 + t^7.858/g1^6 - g1^2*t^8.095 - t^8.143 + (2*t^8.191)/g1^2 + (3*t^8.239)/g1^4 + t^8.287/g1^6 - g1^2*t^8.523 + (3*t^8.667)/g1^4 + (2*t^8.715)/g1^6 - g1^2*t^8.952 - t^4.286/y - t^6.857/y - t^6.905/(g1^2*y) + (g1^2*t^7.666)/y + (2*t^7.714)/y + t^7.762/(g1^2*y) + t^8.143/y + (2*t^8.191)/(g1^2*y) + (2*t^8.571)/y + (3*t^8.619)/(g1^2*y) + t^8.667/(g1^4*y) + (g1^2*t^8.952)/y - t^4.286*y - t^6.857*y - (t^6.905*y)/g1^2 + g1^2*t^7.666*y + 2*t^7.714*y + (t^7.762*y)/g1^2 + t^8.143*y + (2*t^8.191*y)/g1^2 + 2*t^8.571*y + (3*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 |
|---|---|---|---|---|---|---|---|---|
| 3330 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.5728 | 0.7112 | 0.8054 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.9286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + 2*t^4.714 + t^4.929 + 2*t^5.143 + 2*t^5.357 + 2*t^5.571 + 2*t^5.786 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 7185/12544, c: 8921/12544, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 13/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| 3332 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.5879 | 0.7386 | 0.7959 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8731, 0.8571], q:[0.3491, 0.6509], qb:[0.3651, 0.9206], phi:[0.4286]] | t^2.143 + 2*t^2.571 + t^2.619 + t^3. + t^3.048 + t^3.477 + t^3.809 + t^3.857 + t^4.286 + 3*t^4.714 + t^4.762 + 4*t^5.143 + 3*t^5.191 + t^5.239 + t^5.571 + 3*t^5.619 + t^5.667 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 3334 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5904 | 0.7422 | 0.7955 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.9107, 0.8036], q:[0.3304, 0.6696], qb:[0.3839, 0.9018], phi:[0.4286]] | t^2.143 + t^2.411 + t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.429 + t^3.696 + t^3.857 + t^4.286 + t^4.554 + 2*t^4.714 + t^4.821 + t^4.875 + t^4.982 + 3*t^5.143 + 2*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + t^5.732 + t^5.839 + t^5.893 - t^4.286/y - t^4.286*y | detail | {a: 51843/87808, c: 65171/87808, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 51/56, M6: 45/56, q1: 37/112, q2: 75/112, qb1: 43/112, qb2: 101/112, phi1: 3/7} |
| 3331 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.5794 | 0.7222 | 0.8022 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.9286, 0.9286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + t^2.571 + 2*t^2.786 + t^3. + t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + 2*t^4.714 + 2*t^4.929 + 2*t^5.143 + 2*t^5.357 + 4*t^5.571 + 2*t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 25437/43904, c: 31709/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 13/14, M6: 13/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1797 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5662 | 0.7001 | 0.8087 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + 2*t^4.714 + 2*t^5.143 + 2*t^5.357 + t^5.571 + 2*t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 12429/21952, c: 15369/21952, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |