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 |
|---|---|---|---|---|---|---|---|---|---|
| 2636 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.667 | 0.8243 | 0.8092 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.9677], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 158967/238328, c: 98223/119164, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 30/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -1 | t^2.323 + t^2.516 + t^2.71 + 2*t^2.903 + 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 + 2*t^5.032 + 3*t^5.226 + 2*t^5.419 + t^5.613 + 3*t^5.806 - t^6. + t^6.194 + 4*t^6.387 + 3*t^6.581 + 3*t^6.774 + 4*t^6.968 + 3*t^7.161 + 2*t^7.355 + 5*t^7.548 + 5*t^7.742 + 4*t^7.935 + 5*t^8.129 + t^8.323 + 2*t^8.516 + 3*t^8.71 - t^4.355/y - t^6.677/y - t^7.065/y - t^7.258/y + t^7.452/y + t^7.645/y + t^7.839/y + (2*t^8.032)/y + (3*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^7.065*y - t^7.258*y + t^7.452*y + t^7.645*y + t^7.839*y + 2*t^8.032*y + 3*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^2.71 + 2*t^2.903 + 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 + 2*t^5.032 + 3*t^5.226 + 2*t^5.419 + t^5.613 + 3*t^5.806 - t^6. + t^6.194 + 4*t^6.387 + 3*t^6.581 + 3*t^6.774 + 4*t^6.968 + 3*t^7.161 + 2*t^7.355 + 5*t^7.548 + 5*t^7.742 + 4*t^7.935 + 5*t^8.129 + t^8.323 + 2*t^8.516 + 3*t^8.71 - t^4.355/y - t^6.677/y - t^7.065/y - t^7.258/y + t^7.452/y + t^7.645/y + t^7.839/y + (2*t^8.032)/y + (3*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^7.065*y - t^7.258*y + t^7.452*y + t^7.645*y + t^7.839*y + 2*t^8.032*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 4753 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.681 | 0.8483 | 0.8027 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.9677, 0.8387], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + 2*t^2.516 + t^2.71 + 2*t^2.903 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 3*t^4.839 + 4*t^5.032 + 4*t^5.226 + 4*t^5.419 + t^5.613 + 2*t^5.806 - 2*t^6. - t^4.355/y - t^4.355*y | detail | {a: 324579/476656, c: 202171/238328, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 30/31, M7: 26/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| 4755 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6873 | 0.8627 | 0.7967 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.9677, 0.7097], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + t^2.71 + 2*t^2.903 + t^3.484 + t^3.677 + 2*t^4.065 + 2*t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 4*t^5.032 + 3*t^5.226 + 2*t^5.419 + 2*t^5.613 + 4*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 327627/476656, c: 205617/238328, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 30/31, M7: 22/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| 4754 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6849 | 0.8563 | 0.7999 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.9677, 0.7742], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | 2*t^2.323 + t^2.516 + t^2.71 + 2*t^2.903 + t^3.484 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + 3*t^4.645 + 3*t^4.839 + 3*t^5.032 + 5*t^5.226 + 2*t^5.419 + t^5.613 + 4*t^5.806 - 2*t^6. - t^4.355/y - t^4.355*y | detail | {a: 326481/476656, c: 204083/238328, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 30/31, M7: 24/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| 4752 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6582 | 0.8094 | 0.8132 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.9677, 1.0968], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + 2*t^2.903 + 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 + 2*t^5.226 + t^5.419 + 4*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 313731/476656, c: 192903/238328, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 30/31, M7: 34/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1536 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.664 | 0.8192 | 0.8105 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.097 + 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 + 2*t^5.032 + 2*t^5.226 + 2*t^5.419 + t^5.613 + 2*t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 316497/476656, c: 195247/238328, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |