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 |
|---|---|---|---|---|---|---|---|---|---|
| 717 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6658 | 0.8139 | 0.818 | [M:[1.037, 1.1111, 0.963, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1456/2187, c: 1780/2187, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | 0 | t^2.222 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + t^5.556 + t^5.778 + 2*t^6.222 + 3*t^6.444 + 4*t^6.667 + 4*t^6.889 + 3*t^7.111 + 4*t^7.333 + 4*t^7.556 + 3*t^7.778 + 5*t^8. + 2*t^8.222 + 3*t^8.444 + 3*t^8.667 + 2*t^8.889 - t^4.333/y - t^6.556/y + t^7.889/y + (2*t^8.111)/y + t^8.333/y + (2*t^8.556)/y + t^8.778/y - t^4.333*y - t^6.556*y + t^7.889*y + 2*t^8.111*y + t^8.333*y + 2*t^8.556*y + t^8.778*y | t^2.222 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + t^5.556 + t^5.778 + 2*t^6.222 + 3*t^6.444 + 4*t^6.667 + 4*t^6.889 + 3*t^7.111 + 4*t^7.333 + 4*t^7.556 + 3*t^7.778 + 5*t^8. + 2*t^8.222 + 3*t^8.444 + 3*t^8.667 + 2*t^8.889 - t^4.333/y - t^6.556/y + t^7.889/y + (2*t^8.111)/y + t^8.333/y + (2*t^8.556)/y + t^8.778/y - t^4.333*y - t^6.556*y + t^7.889*y + 2*t^8.111*y + t^8.333*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 1175 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{5}$ | 0.6692 | 0.8197 | 0.8164 | [M:[1.037, 1.1111, 0.963, 0.7407, 0.963], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.222 + t^2.667 + 2*t^2.889 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + t^4.889 + 2*t^5.111 + t^5.333 + 2*t^5.556 + 2*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 23417/34992, c: 14341/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 26/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 1177 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.6623 | 0.8081 | 0.8195 | [M:[1.037, 1.1111, 0.963, 0.7407, 1.037], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + t^4.889 + 3*t^5.333 + t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 2575/3888, c: 1571/1944, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 28/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 1174 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{5}$ | 0.6463 | 0.7783 | 0.8305 | [M:[1.037, 1.1111, 0.963, 0.7407, 1.2593], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + 2*t^3.778 + 2*t^4. + 2*t^4.222 + t^4.444 + t^4.667 + t^5.333 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 2513/3888, c: 1513/1944, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 34/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 1176 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6557 | 0.7969 | 0.8228 | [M:[1.037, 1.1111, 0.963, 0.7407, 1.1111], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.222 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + t^5.111 + t^5.333 + t^5.556 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 22945/34992, c: 13943/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 10/9, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 1178 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6813 | 0.841 | 0.8101 | [M:[1.037, 1.1111, 0.963, 0.7407, 0.8148], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 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 - t^4.333/y - t^4.333*y | detail | {a: 883/1296, c: 545/648, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 22/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 430 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[1.0055, 1.1229, 0.9413, 0.7486], q:[0.7807, 0.4064], qb:[0.588, 0.4707], phi:[0.4385]] | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. - t^4.316/y - t^4.316*y | detail |