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 |
|---|---|---|---|---|---|---|---|---|---|
| 55931 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.6813 | 0.841 | 0.8101 | [M:[0.963, 1.037, 1.1111, 0.7407, 0.8148], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 883/1296, c: 545/648, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 22/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | 0 | t^2.222 + t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + 2*t^4.667 + 2*t^4.889 + 2*t^5.111 + 3*t^5.333 + 2*t^5.556 + t^5.778 + 2*t^6.222 + 4*t^6.444 + 5*t^6.667 + 5*t^6.889 + 4*t^7.111 + 5*t^7.333 + 4*t^7.556 + 4*t^7.778 + 5*t^8. + 2*t^8.222 + 2*t^8.444 + 4*t^8.667 + 4*t^8.889 - t^4.333/y - t^6.556/y - t^6.778/y + t^7.667/y + (2*t^7.889)/y + (3*t^8.111)/y + (2*t^8.333)/y + (3*t^8.556)/y + t^8.778/y - t^4.333*y - t^6.556*y - t^6.778*y + t^7.667*y + 2*t^7.889*y + 3*t^8.111*y + 2*t^8.333*y + 3*t^8.556*y + t^8.778*y | t^2.222 + t^2.444 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + 2*t^4.667 + 2*t^4.889 + 2*t^5.111 + 3*t^5.333 + 2*t^5.556 + t^5.778 + 2*t^6.222 + 4*t^6.444 + 5*t^6.667 + 5*t^6.889 + 4*t^7.111 + 5*t^7.333 + 4*t^7.556 + 4*t^7.778 + 5*t^8. + 2*t^8.222 + 2*t^8.444 + 4*t^8.667 + 4*t^8.889 - t^4.333/y - t^6.556/y - t^6.778/y + t^7.667/y + (2*t^7.889)/y + (3*t^8.111)/y + (2*t^8.333)/y + (3*t^8.556)/y + t^8.778/y - t^4.333*y - t^6.556*y - t^6.778*y + t^7.667*y + 2*t^7.889*y + 3*t^8.111*y + 2*t^8.333*y + 3*t^8.556*y + t^8.778*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 |
|---|---|---|---|---|---|---|---|---|
| 57621 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{6}$ | 0.6779 | 0.8353 | 0.8116 | [M:[0.963, 1.037, 1.1111, 0.7407, 0.8148, 1.037], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + 2*t^3.111 + t^3.333 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + 2*t^4.667 + 2*t^4.889 + t^5.111 + 3*t^5.333 + 2*t^5.556 + t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 2965/4374, c: 7307/8748, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 22/27, M6: 28/27, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
| 57620 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6713 | 0.8241 | 0.8146 | [M:[0.963, 1.037, 1.1111, 0.7407, 0.8148, 1.1111], q:[0.5556, 0.4815], qb:[0.4074, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + 2*t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + 2*t^5.556 + t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 145/216, c: 89/108, M1: 26/27, M2: 28/27, M3: 10/9, M4: 20/27, M5: 22/27, M6: 10/9, q1: 5/9, q2: 13/27, qb1: 11/27, qb2: 7/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48185 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6824 | 0.8425 | 0.8099 | [M:[0.9398, 1.0033, 1.1237, 0.7492, 0.8127], q:[0.5903, 0.4699], qb:[0.4064, 0.7809], phi:[0.4381]] | t^2.247 + t^2.438 + t^2.629 + t^2.819 + t^3.01 + t^3.371 + t^3.753 + t^3.943 + t^4.114 + t^4.134 + t^4.304 + 2*t^4.495 + t^4.686 + t^4.856 + 2*t^4.876 + 2*t^5.067 + 3*t^5.258 + t^5.448 + t^5.619 + t^5.639 + t^5.829 - t^6. - t^4.314/y - t^4.314*y | detail |