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 |
|---|---|---|---|---|---|---|---|---|---|
| 3981 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6552 | 0.8044 | 0.8145 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5037/7688, c: 773/961, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$ | ${}$ | 0 | t^2.323 + t^2.516 + t^2.903 + t^3.097 + t^3.29 + t^3.484 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 2*t^4.839 + t^5.032 + t^5.226 + t^5.419 + t^5.613 + 2*t^5.806 + 2*t^6.194 + 3*t^6.387 + 3*t^6.581 + 2*t^6.774 + 3*t^6.968 + 4*t^7.161 + 3*t^7.355 + 4*t^7.548 + 3*t^7.742 + 3*t^7.935 + 4*t^8.129 + t^8.323 + 2*t^8.516 + 2*t^8.71 + 2*t^8.903 - t^4.355/y - t^6.677/y + t^7.839/y + t^8.032/y + t^8.226/y + (2*t^8.419)/y + (2*t^8.613)/y + (2*t^8.806)/y - t^4.355*y - t^6.677*y + t^7.839*y + t^8.032*y + t^8.226*y + 2*t^8.419*y + 2*t^8.613*y + 2*t^8.806*y | t^2.323 + t^2.516 + t^2.903 + t^3.097 + t^3.29 + t^3.484 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 2*t^4.839 + t^5.032 + t^5.226 + t^5.419 + t^5.613 + 2*t^5.806 + 2*t^6.194 + 3*t^6.387 + 3*t^6.581 + 2*t^6.774 + 3*t^6.968 + 4*t^7.161 + 3*t^7.355 + 4*t^7.548 + 3*t^7.742 + 3*t^7.935 + 4*t^8.129 + t^8.323 + 2*t^8.516 + 2*t^8.71 + 2*t^8.903 - t^4.355/y - t^6.677/y + t^7.839/y + t^8.032/y + t^8.226/y + (2*t^8.419)/y + (2*t^8.613)/y + (2*t^8.806)/y - t^4.355*y - t^6.677*y + t^7.839*y + t^8.032*y + t^8.226*y + 2*t^8.419*y + 2*t^8.613*y + 2*t^8.806*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 |
|---|---|---|---|---|---|---|---|---|
| 5526 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6755 | 0.8429 | 0.8015 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742, 0.7097], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + t^2.903 + t^3.097 + t^3.29 + t^3.484 + t^3.677 + 2*t^4.065 + 2*t^4.258 + 2*t^4.452 + 2*t^4.645 + 2*t^4.839 + 2*t^5.032 + 2*t^5.226 + 2*t^5.419 + 2*t^5.613 + 3*t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 321987/476656, c: 200875/238328, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, M8: 22/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
| 5524 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6731 | 0.8364 | 0.8048 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742, 0.7742], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | 2*t^2.323 + t^2.516 + t^2.903 + t^3.097 + t^3.29 + t^3.484 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + 3*t^4.645 + 3*t^4.839 + t^5.032 + 2*t^5.226 + 2*t^5.419 + 2*t^5.613 + 3*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 320841/476656, c: 199341/238328, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, M8: 24/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.277 + t^2.496 + t^2.935 + t^3.065 + t^3.285 + t^3.504 + t^3.634 + t^3.854 + t^3.984 + t^4.073 + t^4.293 + t^4.423 + t^4.553 + t^4.772 + t^4.862 + t^4.992 + t^5.211 + t^5.342 + t^5.561 + 2*t^5.781 + t^5.911 - t^6. - t^4.358/y - t^4.358*y | detail |