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 |
|---|---|---|---|---|---|---|---|---|---|
| 4616 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6963 | 0.8586 | 0.811 | [M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.2417, 0.9432], q:[0.5403, 0.3791], qb:[0.5641, 0.6777], phi:[0.4597]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-6], [-11]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$ | ${}$ | -2 | t^2.346 + t^2.687 + t^2.758 + 2*t^2.83 + t^3.242 + t^3.654 + t^3.725 + t^4.137 + t^4.209 + t^4.55 + t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + t^5.104 + 2*t^5.176 + t^5.374 + t^5.445 + 2*t^5.517 + 2*t^5.588 + 2*t^5.659 - 2*t^6. + 2*t^6.071 + t^6.412 + 2*t^6.483 + 2*t^6.555 + t^6.896 + 3*t^6.967 + 3*t^7.038 + t^7.11 + t^7.237 + t^7.308 + 3*t^7.379 + 4*t^7.45 + 4*t^7.522 + 2*t^7.593 + t^7.72 + t^7.791 + 2*t^7.863 + 2*t^7.934 + 2*t^8.005 + t^8.061 + t^8.132 + 2*t^8.204 + 2*t^8.275 + 4*t^8.417 + 3*t^8.489 + t^8.616 - 3*t^8.687 - t^8.758 - 3*t^8.83 + 3*t^8.901 + t^8.972 - t^4.379/y - t^6.725/y - t^7.066/y - t^7.209/y + t^7.55/y + t^7.692/y + (2*t^8.033)/y + t^8.104/y + (2*t^8.176)/y + t^8.445/y + (2*t^8.517)/y + (3*t^8.588)/y + t^8.659/y + t^8.929/y - t^4.379*y - t^6.725*y - t^7.066*y - t^7.209*y + t^7.55*y + t^7.692*y + 2*t^8.033*y + t^8.104*y + 2*t^8.176*y + t^8.445*y + 2*t^8.517*y + 3*t^8.588*y + t^8.659*y + t^8.929*y | t^2.346/g1^7 + g1^15*t^2.687 + g1^2*t^2.758 + (2*t^2.83)/g1^11 + t^3.242/g1^2 + g1^7*t^3.654 + t^3.725/g1^6 + g1^3*t^4.137 + t^4.209/g1^10 + g1^12*t^4.55 + t^4.621/g1 + (2*t^4.692)/g1^14 + t^4.763/g1^27 + 2*g1^8*t^5.033 + t^5.104/g1^5 + (2*t^5.176)/g1^18 + g1^30*t^5.374 + g1^17*t^5.445 + 2*g1^4*t^5.517 + (2*t^5.588)/g1^9 + (2*t^5.659)/g1^22 - 2*t^6. + (2*t^6.071)/g1^13 + g1^9*t^6.412 + (2*t^6.483)/g1^4 + (2*t^6.555)/g1^17 + g1^5*t^6.896 + (3*t^6.967)/g1^8 + (3*t^7.038)/g1^21 + t^7.11/g1^34 + g1^27*t^7.237 + g1^14*t^7.308 + 3*g1*t^7.379 + (4*t^7.45)/g1^12 + (4*t^7.522)/g1^25 + (2*t^7.593)/g1^38 + g1^23*t^7.72 + g1^10*t^7.791 + (2*t^7.863)/g1^3 + (2*t^7.934)/g1^16 + (2*t^8.005)/g1^29 + g1^45*t^8.061 + g1^32*t^8.132 + 2*g1^19*t^8.204 + 2*g1^6*t^8.275 + (4*t^8.417)/g1^20 + (3*t^8.489)/g1^33 + g1^28*t^8.616 - 3*g1^15*t^8.687 - g1^2*t^8.758 - (3*t^8.83)/g1^11 + (3*t^8.901)/g1^24 + t^8.972/g1^37 - (g1*t^4.379)/y - t^6.725/(g1^6*y) - (g1^16*t^7.066)/y - t^7.209/(g1^10*y) + (g1^12*t^7.55)/y + t^7.692/(g1^14*y) + (2*g1^8*t^8.033)/y + t^8.104/(g1^5*y) + (2*t^8.176)/(g1^18*y) + (g1^17*t^8.445)/y + (2*g1^4*t^8.517)/y + (3*t^8.588)/(g1^9*y) + t^8.659/(g1^22*y) + (g1^13*t^8.929)/y - g1*t^4.379*y - (t^6.725*y)/g1^6 - g1^16*t^7.066*y - (t^7.209*y)/g1^10 + g1^12*t^7.55*y + (t^7.692*y)/g1^14 + 2*g1^8*t^8.033*y + (t^8.104*y)/g1^5 + (2*t^8.176*y)/g1^18 + g1^17*t^8.445*y + 2*g1^4*t^8.517*y + (3*t^8.588*y)/g1^9 + (t^8.659*y)/g1^22 + g1^13*t^8.929*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 |
|---|---|---|---|---|---|---|---|---|
| 6166 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{4}^{2}$ | 0.6904 | 0.8495 | 0.8127 | [M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.2727, 1.0], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]] | 2*t^2.455 + t^2.727 + 2*t^3. + t^3.273 + t^3.545 + t^3.818 + t^4.091 + 2*t^4.364 + t^4.636 + 5*t^4.909 + 3*t^5.182 + 4*t^5.455 + 2*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 14703/21296, c: 18091/21296, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 14/11, M8: 1, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11} |
| 6167 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.714 | 0.8908 | 0.8015 | [M:[1.079, 0.7631, 0.9076, 0.9344, 1.0656, 0.7764, 1.2369, 0.9344, 0.7764], q:[0.5395, 0.3815], qb:[0.5529, 0.6841], phi:[0.4605]] | 2*t^2.329 + t^2.723 + t^2.763 + 2*t^2.803 + t^3.237 + t^3.711 + t^4.145 + t^4.185 + t^4.578 + t^4.618 + 4*t^4.659 + t^4.699 + 3*t^5.052 + 2*t^5.092 + 4*t^5.132 + t^5.446 + t^5.486 + 2*t^5.526 + 3*t^5.566 + 2*t^5.606 - 3*t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2553 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6922 | 0.8511 | 0.8133 | [M:[1.0852, 0.7445, 0.8612, 0.9685, 1.0315, 0.7981, 1.2555], q:[0.5426, 0.3722], qb:[0.5962, 0.6593], phi:[0.4574]] | t^2.394 + t^2.584 + t^2.744 + t^2.905 + t^3.095 + t^3.256 + t^3.606 + t^3.767 + t^4.117 + t^4.278 + t^4.467 + t^4.628 + 2*t^4.789 + t^4.95 + 2*t^4.978 + t^5.139 + t^5.167 + t^5.3 + t^5.328 + 2*t^5.489 + t^5.65 + t^5.678 + t^5.839 - t^6. - t^4.372/y - t^4.372*y | detail |