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 |
|---|---|---|---|---|---|---|---|---|---|
| 420 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.667 | 0.8136 | 0.8198 | [M:[1.0126, 1.1111, 0.9874, 0.7652], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | [M:[[1], [0], [-1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -1 | t^2.296 + t^2.667 + t^2.962 + t^3.038 + t^3.333 + t^3.629 + t^3.924 + 2*t^4. + t^4.076 + t^4.296 + t^4.371 + t^4.591 + t^4.667 + t^4.962 + t^5.258 + 2*t^5.333 + t^5.629 + t^5.924 - t^6. + t^6.22 + 2*t^6.296 + 3*t^6.591 + 2*t^6.667 + t^6.742 + 2*t^6.887 + 3*t^6.962 + t^7.038 + t^7.113 + 2*t^7.258 + t^7.333 + 2*t^7.553 + 3*t^7.629 + t^7.849 + 3*t^7.924 + 3*t^8. + t^8.076 + t^8.151 + 2*t^8.22 + t^8.447 + t^8.516 + 2*t^8.591 - t^8.667 + 3*t^8.887 - t^4.333/y - t^6.629/y + t^7.962/y + t^8.038/y + t^8.258/y + t^8.333/y + (2*t^8.629)/y + t^8.704/y - t^4.333*y - t^6.629*y + t^7.962*y + t^8.038*y + t^8.258*y + t^8.333*y + 2*t^8.629*y + t^8.704*y | t^2.296/g1 + t^2.667 + t^2.962/g1 + g1*t^3.038 + t^3.333 + t^3.629/g1 + t^3.924/g1^2 + 2*t^4. + g1^2*t^4.076 + t^4.296/g1 + g1*t^4.371 + t^4.591/g1^2 + t^4.667 + t^4.962/g1 + t^5.258/g1^2 + 2*t^5.333 + t^5.629/g1 + t^5.924/g1^2 - t^6. + t^6.22/g1^3 + (2*t^6.296)/g1 + (3*t^6.591)/g1^2 + 2*t^6.667 + g1^2*t^6.742 + (2*t^6.887)/g1^3 + (3*t^6.962)/g1 + g1*t^7.038 + g1^3*t^7.113 + (2*t^7.258)/g1^2 + t^7.333 + (2*t^7.553)/g1^3 + (3*t^7.629)/g1 + t^7.849/g1^4 + (3*t^7.924)/g1^2 + 3*t^8. + g1^2*t^8.076 + g1^4*t^8.151 + (2*t^8.22)/g1^3 + g1^3*t^8.447 + t^8.516/g1^4 + (2*t^8.591)/g1^2 - t^8.667 + (3*t^8.887)/g1^3 - t^4.333/y - t^6.629/(g1*y) + t^7.962/(g1*y) + (g1*t^8.038)/y + t^8.258/(g1^2*y) + t^8.333/y + (2*t^8.629)/(g1*y) + (g1*t^8.704)/y - t^4.333*y - (t^6.629*y)/g1 + (t^7.962*y)/g1 + g1*t^8.038*y + (t^8.258*y)/g1^2 + t^8.333*y + (2*t^8.629*y)/g1 + g1*t^8.704*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 |
|---|---|---|---|---|---|---|---|---|
| 695 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{5}$ | 0.677 | 0.8306 | 0.8151 | [M:[1.0126, 1.1111, 0.9874, 0.7652, 0.8889], q:[0.7778, 0.4319], qb:[0.5556, 0.457], phi:[0.4444]] | t^2.296 + 2*t^2.667 + t^2.962 + t^3.038 + t^3.629 + t^3.924 + 2*t^4. + t^4.076 + t^4.296 + t^4.371 + t^4.591 + t^4.667 + 2*t^4.962 + t^5.258 + 4*t^5.333 + t^5.629 + t^5.704 + t^5.924 - 2*t^6. - t^4.333/y - t^4.333*y | detail | |
| 692 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.6669 | 0.8127 | 0.8206 | [M:[0.9899, 1.1111, 1.0101, 0.7879, 0.9899], q:[0.7778, 0.4545], qb:[0.5556, 0.4343], phi:[0.4444]] | t^2.364 + t^2.667 + 2*t^2.97 + t^3.333 + t^3.697 + t^3.939 + 2*t^4. + t^4.061 + t^4.303 + t^4.364 + t^4.667 + t^4.727 + t^5.03 + 3*t^5.333 + t^5.636 + 2*t^5.939 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 3169/4752, c: 1931/2376, M1: 98/99, M2: 10/9, M3: 100/99, M4: 26/33, M5: 98/99, q1: 7/9, q2: 5/11, qb1: 5/9, qb2: 43/99, phi1: 4/9} |
| 698 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ | 0.5563 | 0.6883 | 0.8083 | [M:[0.7778, 1.1111, 1.2222, 1.0], q:[0.7778, 0.6667], qb:[0.5556, 0.2222], phi:[0.4444]] | t^2.333 + 2*t^2.667 + t^3. + t^3.333 + 2*t^3.667 + 2*t^4. + t^4.333 + t^4.667 + 2*t^5. + 5*t^5.333 + t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 721/1296, c: 223/324, M1: 7/9, M2: 10/9, M3: 11/9, M4: 1, q1: 7/9, q2: 2/3, qb1: 5/9, qb2: 2/9, phi1: 4/9} |
| 697 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6877 | 0.8539 | 0.8054 | [M:[1.0082, 1.1111, 0.9918, 0.7695, 0.6831], q:[0.7778, 0.4362], qb:[0.5556, 0.4527], phi:[0.4444]] | t^2.049 + t^2.309 + t^2.667 + t^2.975 + t^3.025 + t^3.333 + t^3.642 + 2*t^4. + t^4.049 + t^4.099 + t^4.309 + 2*t^4.358 + t^4.617 + t^4.667 + t^4.716 + t^4.975 + t^5.025 + t^5.074 + t^5.284 + 2*t^5.333 + t^5.383 + t^5.642 + t^5.691 + t^5.951 - t^6. - t^4.333/y - t^4.333*y | detail | |
| 696 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6844 | 0.8441 | 0.8108 | [M:[1.0, 1.1111, 1.0, 0.7778, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | 2*t^2.333 + t^2.667 + 2*t^3. + t^3.333 + 4*t^4. + 2*t^4.333 + 4*t^4.667 + 2*t^5. + 5*t^5.333 + 2*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 887/1296, c: 547/648, M1: 1, M2: 10/9, M3: 1, M4: 7/9, M5: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 265 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8195 | [M:[0.9917, 1.1204, 0.9667, 0.7676], q:[0.7801, 0.4273], qb:[0.581, 0.4523], phi:[0.4398]] | t^2.303 + t^2.639 + t^2.9 + t^2.975 + t^3.361 + t^3.622 + t^3.883 + t^3.958 + t^4.033 + t^4.083 + t^4.344 + t^4.419 + t^4.605 + t^4.805 + t^4.942 + t^5.203 + 2*t^5.278 + t^5.664 + t^5.8 + t^5.875 + t^5.95 - 2*t^6. - t^4.319/y - t^4.319*y | detail |