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 |
|---|---|---|---|---|---|---|---|---|---|
| 748 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6696 | 0.8291 | 0.8076 | [M:[1.0, 1.1494, 0.881, 0.8506, 0.7316], q:[0.7835, 0.3658], qb:[0.6342, 0.4848], phi:[0.4329]] | [M:[[0], [-3], [-11], [3], [-8]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | t^2.195 + t^2.552 + t^2.597 + t^2.643 + t^3. + t^3.448 + t^3.494 + t^3.851 + t^4.208 + t^4.253 + t^4.299 + t^4.39 + t^4.656 + t^4.747 + t^4.792 + t^4.838 + 2*t^5.104 + t^5.149 + 2*t^5.195 + t^5.24 + t^5.286 + t^5.597 + t^5.643 + t^5.688 - t^6. + 2*t^6.045 + 2*t^6.091 + t^6.136 - t^6.357 + t^6.403 + t^6.448 + 2*t^6.494 + t^6.584 + t^6.76 + 2*t^6.851 + t^6.896 + 2*t^6.942 + 2*t^6.987 + t^7.032 + t^7.208 + 2*t^7.299 + 2*t^7.344 + 2*t^7.39 + t^7.435 + t^7.481 - t^7.61 + t^7.656 + 3*t^7.701 + 2*t^7.747 + 3*t^7.792 + 2*t^7.838 + 2*t^7.883 + t^7.929 - t^8.195 + 2*t^8.24 + 2*t^8.286 + t^8.331 + t^8.416 - 2*t^8.552 + t^8.597 + 3*t^8.688 + 2*t^8.734 + 2*t^8.779 + t^8.864 - t^8.909 - t^4.299/y - t^6.494/y - t^6.896/y - t^6.942/y + t^7.656/y + t^7.701/y + t^7.747/y + t^7.792/y + t^7.838/y + t^8.104/y + t^8.149/y + (2*t^8.195)/y + t^8.24/y + t^8.552/y + t^8.597/y + (2*t^8.643)/y - t^4.299*y - t^6.494*y - t^6.896*y - t^6.942*y + t^7.656*y + t^7.701*y + t^7.747*y + t^7.792*y + t^7.838*y + t^8.104*y + t^8.149*y + 2*t^8.195*y + t^8.24*y + t^8.552*y + t^8.597*y + 2*t^8.643*y | t^2.195/g1^8 + g1^3*t^2.552 + t^2.597/g1^4 + t^2.643/g1^11 + t^3. + t^3.448/g1^3 + t^3.494/g1^10 + g1*t^3.851 + g1^12*t^4.208 + g1^5*t^4.253 + t^4.299/g1^2 + t^4.39/g1^16 + g1^9*t^4.656 + t^4.747/g1^5 + t^4.792/g1^12 + t^4.838/g1^19 + 2*g1^6*t^5.104 + t^5.149/g1 + (2*t^5.195)/g1^8 + t^5.24/g1^15 + t^5.286/g1^22 + t^5.597/g1^4 + t^5.643/g1^11 + t^5.688/g1^18 - t^6. + (2*t^6.045)/g1^7 + (2*t^6.091)/g1^14 + t^6.136/g1^21 - g1^11*t^6.357 + g1^4*t^6.403 + t^6.448/g1^3 + (2*t^6.494)/g1^10 + t^6.584/g1^24 + g1^15*t^6.76 + 2*g1*t^6.851 + t^6.896/g1^6 + (2*t^6.942)/g1^13 + (2*t^6.987)/g1^20 + t^7.032/g1^27 + g1^12*t^7.208 + (2*t^7.299)/g1^2 + (2*t^7.344)/g1^9 + (2*t^7.39)/g1^16 + t^7.435/g1^23 + t^7.481/g1^30 - g1^16*t^7.61 + g1^9*t^7.656 + 3*g1^2*t^7.701 + (2*t^7.747)/g1^5 + (3*t^7.792)/g1^12 + (2*t^7.838)/g1^19 + (2*t^7.883)/g1^26 + t^7.929/g1^33 - t^8.195/g1^8 + (2*t^8.24)/g1^15 + (2*t^8.286)/g1^22 + t^8.331/g1^29 + g1^24*t^8.416 - 2*g1^3*t^8.552 + t^8.597/g1^4 + (3*t^8.688)/g1^18 + (2*t^8.734)/g1^25 + (2*t^8.779)/g1^32 + g1^21*t^8.864 - g1^14*t^8.909 - t^4.299/(g1^2*y) - t^6.494/(g1^10*y) - t^6.896/(g1^6*y) - t^6.942/(g1^13*y) + (g1^9*t^7.656)/y + (g1^2*t^7.701)/y + t^7.747/(g1^5*y) + t^7.792/(g1^12*y) + t^7.838/(g1^19*y) + (g1^6*t^8.104)/y + t^8.149/(g1*y) + (2*t^8.195)/(g1^8*y) + t^8.24/(g1^15*y) + (g1^3*t^8.552)/y + t^8.597/(g1^4*y) + (2*t^8.643)/(g1^11*y) - (t^4.299*y)/g1^2 - (t^6.494*y)/g1^10 - (t^6.896*y)/g1^6 - (t^6.942*y)/g1^13 + g1^9*t^7.656*y + g1^2*t^7.701*y + (t^7.747*y)/g1^5 + (t^7.792*y)/g1^12 + (t^7.838*y)/g1^19 + g1^6*t^8.104*y + (t^8.149*y)/g1 + (2*t^8.195*y)/g1^8 + (t^8.24*y)/g1^15 + g1^3*t^8.552*y + (t^8.597*y)/g1^4 + (2*t^8.643*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1230 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.6298 | 0.7779 | 0.8097 | [M:[1.0, 1.2105, 1.1053, 0.7895, 0.8947], q:[0.7632, 0.4474], qb:[0.5526, 0.3421], phi:[0.4737]] | t^2.368 + t^2.684 + t^2.842 + t^3. + t^3.316 + t^3.474 + t^3.632 + t^3.789 + t^3.947 + 2*t^4.105 + t^4.421 + 2*t^4.737 + t^5.053 + t^5.211 + t^5.368 + t^5.526 + t^5.684 + 2*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 4320/6859, c: 85365/109744, M1: 1, M2: 23/19, M3: 21/19, M4: 15/19, M5: 17/19, q1: 29/38, q2: 17/38, qb1: 21/38, qb2: 13/38, phi1: 9/19} |
| 1233 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6611 | 0.8138 | 0.8124 | [M:[1.0, 1.1643, 0.9356, 0.8357, 0.7714, 1.0644], q:[0.7786, 0.3857], qb:[0.6143, 0.4501], phi:[0.4428]] | t^2.314 + t^2.507 + t^2.657 + t^3. + t^3.193 + t^3.493 + t^3.643 + t^3.836 + t^4.029 + t^4.179 + t^4.329 + t^4.522 + t^4.628 + t^4.821 + t^4.971 + 2*t^5.014 + t^5.164 + t^5.314 + t^5.507 + t^5.657 + t^5.7 + t^5.85 + t^5.957 - t^6. - t^4.329/y - t^4.329*y | detail | |
| 1232 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6662 | 0.8225 | 0.81 | [M:[1.0, 1.1667, 0.9444, 0.8333, 0.7778], q:[0.7778, 0.3889], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.333 + t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.5 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + t^4.833 + 3*t^5. + 2*t^5.167 + 2*t^5.333 + t^5.5 + 2*t^5.667 + t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 1535/2304, c: 1895/2304, M1: 1, M2: 7/6, M3: 17/18, M4: 5/6, M5: 7/9, q1: 7/9, q2: 7/18, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 1235 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6898 | 0.867 | 0.7955 | [M:[1.0, 1.149, 0.8796, 0.851, 0.7306, 0.7163], q:[0.7837, 0.3653], qb:[0.6347, 0.4857], phi:[0.4326]] | t^2.149 + t^2.192 + t^2.553 + t^2.596 + t^2.639 + t^3. + t^3.447 + t^3.49 + t^4.212 + t^4.255 + 2*t^4.298 + t^4.341 + t^4.384 + t^4.659 + t^4.702 + 2*t^4.745 + 2*t^4.788 + t^4.83 + 2*t^5.106 + 2*t^5.149 + 2*t^5.192 + t^5.235 + t^5.277 + 2*t^5.596 + 2*t^5.639 + t^5.681 - t^6. - t^4.298/y - t^4.298*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 445 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ | 0.6501 | 0.7927 | 0.8201 | [M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | t^2.538 + t^2.615 + t^2.693 + t^3. + t^3.462 + t^3.539 + t^3.769 + t^3.846 + t^4.154 + t^4.231 + t^4.308 + t^4.615 + 2*t^5.077 + t^5.154 + t^5.231 + t^5.308 + t^5.385 + t^5.615 - t^6. - t^4.308/y - t^4.308*y | detail |