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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | [M:[[-3], [4], [-11], [0], [3], [-8]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. + 2*t^6.079 + t^6.157 + t^6.236 - t^6.305 + 2*t^6.384 + 2*t^6.541 + t^6.689 + t^6.698 + 2*t^6.846 + t^6.924 + 2*t^7.003 + t^7.081 + t^7.151 + t^7.16 + 2*t^7.308 + t^7.387 + t^7.465 + 2*t^7.613 + t^7.622 + 2*t^7.692 + t^7.77 + 2*t^7.849 + t^7.927 + t^7.997 + t^8.006 + t^8.084 + t^8.154 - 2*t^8.233 + t^8.302 + 2*t^8.311 + t^8.39 + 2*t^8.459 + t^8.468 - 2*t^8.538 + 3*t^8.616 - 2*t^8.695 + t^8.764 + 2*t^8.773 - t^8.843 + t^8.852 + t^8.921 + 2*t^8.93 - t^4.308/y - t^6.541/y - t^7.003/y + t^7.613/y + t^7.77/y + t^7.927/y + t^8.076/y + (2*t^8.233)/y + t^8.538/y + t^8.616/y + (2*t^8.695)/y + t^8.921/y - t^4.308*y - t^6.541*y - t^7.003*y + t^7.613*y + t^7.77*y + t^7.927*y + t^8.076*y + 2*t^8.233*y + t^8.538*y + t^8.616*y + 2*t^8.695*y + t^8.921*y | t^2.233/g1^8 + g1^3*t^2.538 + t^2.695/g1^11 + t^3. + g1^4*t^3.384 + t^3.462/g1^3 + t^3.541/g1^10 + g1*t^3.846 + g1^12*t^4.151 + g1^5*t^4.23 + t^4.308/g1^2 + t^4.465/g1^16 + g1^9*t^4.613 + t^4.77/g1^5 + t^4.927/g1^19 + 2*g1^6*t^5.076 + t^5.233/g1^8 + t^5.39/g1^22 + t^5.616/g1^4 + t^5.695/g1^11 + t^5.773/g1^18 + g1^7*t^5.921 - t^6. + (2*t^6.079)/g1^7 + t^6.157/g1^14 + t^6.236/g1^21 - g1^11*t^6.305 + 2*g1^4*t^6.384 + (2*t^6.541)/g1^10 + g1^15*t^6.689 + t^6.698/g1^24 + 2*g1*t^6.846 + t^6.924/g1^6 + (2*t^7.003)/g1^13 + t^7.081/g1^20 + g1^12*t^7.151 + t^7.16/g1^27 + (2*t^7.308)/g1^2 + t^7.387/g1^9 + t^7.465/g1^16 + 2*g1^9*t^7.613 + t^7.622/g1^30 + 2*g1^2*t^7.692 + t^7.77/g1^5 + (2*t^7.849)/g1^12 + t^7.927/g1^19 + g1^13*t^7.997 + t^8.006/g1^26 + t^8.084/g1^33 + t^8.154/g1 - (2*t^8.233)/g1^8 + g1^24*t^8.302 + (2*t^8.311)/g1^15 + t^8.39/g1^22 + 2*g1^10*t^8.459 + t^8.468/g1^29 - 2*g1^3*t^8.538 + (3*t^8.616)/g1^4 - (2*t^8.695)/g1^11 + g1^21*t^8.764 + (2*t^8.773)/g1^18 - g1^14*t^8.843 + t^8.852/g1^25 + g1^7*t^8.921 + (2*t^8.93)/g1^32 - t^4.308/(g1^2*y) - t^6.541/(g1^10*y) - t^7.003/(g1^13*y) + (g1^9*t^7.613)/y + t^7.77/(g1^5*y) + t^7.927/(g1^19*y) + (g1^6*t^8.076)/y + (2*t^8.233)/(g1^8*y) + (g1^3*t^8.538)/y + t^8.616/(g1^4*y) + (2*t^8.695)/(g1^11*y) + (g1^7*t^8.921)/y - (t^4.308*y)/g1^2 - (t^6.541*y)/g1^10 - (t^7.003*y)/g1^13 + g1^9*t^7.613*y + (t^7.77*y)/g1^5 + (t^7.927*y)/g1^19 + g1^6*t^8.076*y + (2*t^8.233*y)/g1^8 + g1^3*t^8.538*y + (t^8.616*y)/g1^4 + (2*t^8.695*y)/g1^11 + g1^7*t^8.921*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 |
|---|---|---|---|---|---|---|---|---|
| 1620 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.6715 | 0.8316 | 0.8075 | [M:[1.1574, 1.1235, 0.9105, 1.0, 0.8426, 0.7531, 0.8426], q:[0.7809, 0.4661], qb:[0.3765, 0.6235], phi:[0.4383]] | t^2.259 + 2*t^2.528 + t^2.731 + t^3. + t^3.37 + t^3.574 + t^3.843 + t^4.111 + t^4.213 + t^4.315 + t^4.518 + t^4.583 + 2*t^4.787 + t^4.991 + 4*t^5.056 + 2*t^5.259 + t^5.463 + t^5.528 + t^5.63 + t^5.833 + 2*t^5.898 - 2*t^6. - t^4.315/y - t^4.315*y | detail | |
| 1612 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{4}$ | 0.6497 | 0.7974 | 0.8147 | [M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.8182], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | 2*t^2.455 + 2*t^3. + t^3.273 + t^3.545 + 3*t^3.818 + t^4.091 + 2*t^4.364 + 4*t^4.909 + 2*t^5.455 + 2*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 3459/5324, c: 8491/10648, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 9/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| 1613 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ | 0.6249 | 0.7697 | 0.812 | [M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.368 + t^2.684 + t^3. + t^3.158 + 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^5.368 + t^5.526 + 2*t^5.842 - t^4.421/y - t^4.421*y | detail | {a: 68583/109744, c: 84467/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 1617 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6511 | 0.7974 | 0.8166 | [M:[1.1698, 1.1069, 0.956, 1.0, 0.8302, 0.7862, 1.044], q:[0.7767, 0.4371], qb:[0.3931, 0.6069], phi:[0.4465]] | t^2.358 + t^2.491 + t^3. + t^3.132 + t^3.321 + t^3.509 + t^3.698 + t^3.83 + t^3.962 + t^4.151 + t^4.34 + t^4.472 + t^4.717 + t^4.849 + 2*t^4.981 + t^5.491 + t^5.623 + t^5.679 + t^5.811 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 1614 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6562 | 0.8055 | 0.8146 | [M:[1.1667, 1.1111, 0.9444, 1.0, 0.8333, 0.7778], q:[0.7778, 0.4444], qb:[0.3889, 0.6111], phi:[0.4444]] | t^2.333 + t^2.5 + t^2.833 + t^3. + t^3.333 + 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 + 2*t^5. + t^5.167 + t^5.333 + 2*t^5.667 + 2*t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 13607/20736, c: 16703/20736, M1: 7/6, M2: 10/9, M3: 17/18, M4: 1, M5: 5/6, M6: 7/9, q1: 7/9, q2: 4/9, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 1618 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6781 | 0.8463 | 0.8012 | [M:[1.1537, 1.1284, 0.8968, 1.0, 0.8463, 0.7431, 0.7179], q:[0.7821, 0.4748], qb:[0.3716, 0.6284], phi:[0.4358]] | t^2.154 + t^2.229 + t^2.539 + t^2.69 + t^3. + t^3.385 + t^3.461 + t^3.537 + t^4.156 + t^4.232 + 2*t^4.307 + t^4.383 + t^4.459 + t^4.617 + t^4.693 + t^4.768 + t^4.844 + t^4.92 + 2*t^5.078 + t^5.154 + t^5.229 + t^5.381 + t^5.539 + 2*t^5.615 + 2*t^5.69 + t^5.766 + t^5.924 - t^6. - t^4.307/y - t^4.307*y | detail | |
| 1616 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6741 | 0.8369 | 0.8055 | [M:[1.1628, 1.1163, 0.9302, 1.0, 0.8372, 0.7674, 0.7907], q:[0.7791, 0.4535], qb:[0.3837, 0.6163], phi:[0.4419]] | t^2.302 + t^2.372 + t^2.512 + t^2.791 + t^3. + t^3.349 + t^3.488 + t^3.837 + t^4.046 + t^4.186 + t^4.326 + t^4.535 + t^4.605 + t^4.674 + t^4.744 + t^4.814 + t^4.884 + 2*t^5.023 + t^5.093 + t^5.163 + t^5.302 + t^5.372 + t^5.581 + t^5.651 + t^5.721 + t^5.791 + 2*t^5.86 - t^6. - t^4.326/y - t^4.326*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 |
|---|---|---|---|---|---|---|---|---|---|
| 651 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6389 | 0.7739 | 0.8256 | [M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.521 + t^2.755 + t^3. + t^3.362 + t^3.479 + t^3.595 + t^3.724 + t^3.84 + t^4.086 + t^4.202 + t^4.319 + t^4.564 + 2*t^5.043 + t^5.51 + t^5.883 - t^6. - t^4.319/y - t^4.319*y | detail |