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 |
---|---|---|---|---|---|---|---|---|---|
6676 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{8}$ + ${ }M_{7}X_{1}$ | 0.5434 | 0.6906 | 0.7869 | [X:[1.4839], M:[0.7742, 1.0323, 1.0968, 0.7097, 1.2903, 1.1613, 0.5161, 0.8387], q:[0.7097, 0.5161], qb:[0.1935, 0.7742], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 259017/476656, c: 164585/238328, X1: 46/31, M1: 24/31, M2: 32/31, M3: 34/31, M4: 22/31, M5: 40/31, M6: 36/31, M7: 16/31, M8: 26/31, q1: 22/31, q2: 16/31, qb1: 6/31, qb2: 24/31, phi1: 14/31} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | 0 | t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^3.097 + t^3.29 + t^3.484 + t^3.871 + t^4.065 + 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 + 3*t^5.613 + t^5.806 + 2*t^6.194 + 2*t^6.387 + 3*t^6.581 + 2*t^6.774 + 3*t^6.968 + 4*t^7.161 + 2*t^7.355 + 3*t^7.548 + 5*t^7.742 + 3*t^7.935 + 2*t^8.129 + 2*t^8.323 + 2*t^8.71 + 3*t^8.903 - t^4.355/y - t^6.677/y + t^7.258/y + t^7.645/y + (2*t^7.839)/y + (2*t^8.032)/y + (2*t^8.226)/y + (2*t^8.419)/y + (3*t^8.613)/y + (3*t^8.806)/y - t^4.355*y - t^6.677*y + t^7.258*y + t^7.645*y + 2*t^7.839*y + 2*t^8.032*y + 2*t^8.226*y + 2*t^8.419*y + 3*t^8.613*y + 3*t^8.806*y | t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^3.097 + t^3.29 + t^3.484 + t^3.871 + t^4.065 + 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 + 3*t^5.613 + t^5.806 + 2*t^6.194 + 2*t^6.387 + 3*t^6.581 + 2*t^6.774 + 3*t^6.968 + 4*t^7.161 + 2*t^7.355 + 3*t^7.548 + 5*t^7.742 + 3*t^7.935 + 2*t^8.129 + 2*t^8.323 + 2*t^8.71 + 3*t^8.903 - t^4.355/y - t^6.677/y + t^7.258/y + t^7.645/y + (2*t^7.839)/y + (2*t^8.032)/y + (2*t^8.226)/y + (2*t^8.419)/y + (3*t^8.613)/y + (3*t^8.806)/y - t^4.355*y - t^6.677*y + t^7.258*y + t^7.645*y + 2*t^7.839*y + 2*t^8.032*y + 2*t^8.226*y + 2*t^8.419*y + 3*t^8.613*y + 3*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
5058 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7102 | 0.918 | 0.7737 | [M:[1.0779, 0.8096, 1.0563, 0.8311, 1.1689, 0.6754, 0.7186, 0.697], q:[0.5174, 0.4048], qb:[0.4264, 0.7641], phi:[0.4719]] | t^2.026 + t^2.091 + t^2.156 + t^2.429 + t^2.493 + t^2.831 + t^3.169 + t^3.234 + t^3.507 + t^3.844 + t^4.053 + t^4.117 + 3*t^4.182 + 2*t^4.247 + t^4.311 + t^4.455 + 3*t^4.52 + 2*t^4.584 + t^4.649 + 2*t^4.857 + 2*t^4.922 + 2*t^4.987 + t^5.195 + 3*t^5.26 + 3*t^5.325 + t^5.389 + t^5.533 + 2*t^5.598 + 3*t^5.662 + t^5.871 + t^5.935 - t^4.416/y - t^4.416*y | detail |