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 |
|---|---|---|---|---|---|---|---|---|---|
| 2987 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5974 | 0.7553 | 0.7909 | [M:[0.9551, 0.7592, 1.0, 0.7143, 1.2857, 0.902], q:[0.6653, 0.3796], qb:[0.3347, 0.9061], phi:[0.4286]] | [M:[[2], [-2], [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 |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.143 + t^2.277 + t^2.571 + t^2.706 + t^2.865 + t^3. + t^3.429 + t^3.563 + t^3.857 + t^4.286 + t^4.42 + t^4.555 + 2*t^4.714 + 2*t^4.849 + t^4.984 + t^5.008 + 3*t^5.143 + 2*t^5.277 + t^5.412 + t^5.437 + 2*t^5.571 + 2*t^5.706 + t^5.731 + t^5.841 + 2*t^6.135 + t^6.269 + 2*t^6.429 + 2*t^6.563 + t^6.698 + t^6.832 + 2*t^6.992 + 3*t^7.126 - t^7.151 + t^7.261 + 2*t^7.286 + 5*t^7.42 + 3*t^7.555 + t^7.58 + t^7.69 + 4*t^7.714 + 3*t^7.849 + t^7.874 + 3*t^7.984 + t^8.008 + 2*t^8.118 + t^8.277 + t^8.302 + 3*t^8.412 - t^8.437 + t^8.547 + t^8.596 + t^8.706 + 3*t^8.841 - 3*t^8.865 + 2*t^8.975 - t^4.286/y - t^6.563/y - t^6.857/y - t^6.992/y - t^7.151/y + (2*t^7.42)/y + t^7.58/y + (2*t^7.714)/y + (2*t^7.849)/y + t^7.984/y + (2*t^8.008)/y + (2*t^8.143)/y + (2*t^8.277)/y + t^8.437/y + (3*t^8.571)/y + (3*t^8.706)/y + t^8.865/y - t^4.286*y - t^6.563*y - t^6.857*y - t^6.992*y - t^7.151*y + 2*t^7.42*y + t^7.58*y + 2*t^7.714*y + 2*t^7.849*y + t^7.984*y + 2*t^8.008*y + 2*t^8.143*y + 2*t^8.277*y + t^8.437*y + 3*t^8.571*y + 3*t^8.706*y + t^8.865*y | t^2.143 + t^2.277/g1^2 + t^2.571 + t^2.706/g1^2 + g1^2*t^2.865 + t^3. + t^3.429 + t^3.563/g1^2 + t^3.857 + t^4.286 + t^4.42/g1^2 + t^4.555/g1^4 + 2*t^4.714 + (2*t^4.849)/g1^2 + t^4.984/g1^4 + g1^2*t^5.008 + 3*t^5.143 + (2*t^5.277)/g1^2 + t^5.412/g1^4 + g1^2*t^5.437 + 2*t^5.571 + (2*t^5.706)/g1^2 + g1^4*t^5.731 + t^5.841/g1^4 + (2*t^6.135)/g1^2 + t^6.269/g1^4 + 2*t^6.429 + (2*t^6.563)/g1^2 + t^6.698/g1^4 + t^6.832/g1^6 + (2*t^6.992)/g1^2 + (3*t^7.126)/g1^4 - g1^2*t^7.151 + t^7.261/g1^6 + 2*t^7.286 + (5*t^7.42)/g1^2 + (3*t^7.555)/g1^4 + g1^2*t^7.58 + t^7.69/g1^6 + 4*t^7.714 + (3*t^7.849)/g1^2 + g1^4*t^7.874 + (3*t^7.984)/g1^4 + g1^2*t^8.008 + (2*t^8.118)/g1^6 + t^8.277/g1^2 + g1^4*t^8.302 + (3*t^8.412)/g1^4 - g1^2*t^8.437 + t^8.547/g1^6 + g1^6*t^8.596 + t^8.706/g1^2 + (3*t^8.841)/g1^4 - 3*g1^2*t^8.865 + (2*t^8.975)/g1^6 - t^4.286/y - t^6.563/(g1^2*y) - t^6.857/y - t^6.992/(g1^2*y) - (g1^2*t^7.151)/y + (2*t^7.42)/(g1^2*y) + (g1^2*t^7.58)/y + (2*t^7.714)/y + (2*t^7.849)/(g1^2*y) + t^7.984/(g1^4*y) + (2*g1^2*t^8.008)/y + (2*t^8.143)/y + (2*t^8.277)/(g1^2*y) + (g1^2*t^8.437)/y + (3*t^8.571)/y + (3*t^8.706)/(g1^2*y) + (g1^2*t^8.865)/y - t^4.286*y - (t^6.563*y)/g1^2 - t^6.857*y - (t^6.992*y)/g1^2 - g1^2*t^7.151*y + (2*t^7.42*y)/g1^2 + g1^2*t^7.58*y + 2*t^7.714*y + (2*t^7.849*y)/g1^2 + (t^7.984*y)/g1^4 + 2*g1^2*t^8.008*y + 2*t^8.143*y + (2*t^8.277*y)/g1^2 + g1^2*t^8.437*y + 3*t^8.571*y + (3*t^8.706*y)/g1^2 + g1^2*t^8.865*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 |
|---|---|---|---|---|---|---|---|---|
| 3600 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.5688 | 0.7161 | 0.7943 | [M:[0.7857, 0.9286, 1.0, 0.7143, 1.2857, 1.0714], q:[0.75, 0.4643], qb:[0.25, 0.8214], phi:[0.4286]] | t^2.143 + t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.857 + t^4.071 + t^4.286 + t^4.5 + 3*t^4.714 + 2*t^4.929 + 3*t^5.143 + 2*t^5.357 + 3*t^5.571 + 2*t^5.786 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 49941/87808, c: 62877/87808, M1: 11/14, M2: 13/14, M3: 1, M4: 5/7, M5: 9/7, M6: 15/14, q1: 3/4, q2: 13/28, qb1: 1/4, qb2: 23/28, phi1: 3/7} |
| 3598 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.61 | 0.7768 | 0.7852 | [M:[0.9551, 0.7592, 1.0, 0.7143, 1.2857, 0.902, 0.8571], q:[0.6653, 0.3796], qb:[0.3347, 0.9061], phi:[0.4286]] | t^2.143 + t^2.277 + 2*t^2.571 + t^2.706 + t^2.865 + t^3. + t^3.563 + t^3.857 + t^4.286 + t^4.42 + t^4.555 + 3*t^4.714 + 3*t^4.849 + t^4.984 + t^5.008 + 5*t^5.143 + 3*t^5.277 + t^5.412 + 2*t^5.437 + 2*t^5.571 + t^5.706 + t^5.731 + t^5.841 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 3599 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.614 | 0.7837 | 0.7835 | [M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857, 0.9286, 0.7857], q:[0.6786, 0.3929], qb:[0.3214, 0.8929], phi:[0.4286]] | t^2.143 + 2*t^2.357 + t^2.571 + 2*t^2.786 + t^3. + t^3.429 + t^3.857 + t^4.286 + 2*t^4.5 + 5*t^4.714 + 4*t^4.929 + 6*t^5.143 + 4*t^5.357 + 4*t^5.571 + 2*t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 13479/21952, c: 17203/21952, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, M6: 13/14, M7: 11/14, q1: 19/28, q2: 11/28, qb1: 9/28, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1946 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5904 | 0.7422 | 0.7955 | [M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], 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, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |