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 |
|---|---|---|---|---|---|---|---|---|---|
| 704 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.661 | 0.8174 | 0.8086 | [M:[0.951, 1.092, 1.135, 0.865, 0.724], q:[0.773, 0.546], qb:[0.503, 0.362], phi:[0.454]] | [M:[[13], [-4], [5], [-5], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.172 + t^2.595 + t^2.724 + t^2.853 + t^3.276 + t^3.405 + t^3.534 + 2*t^3.957 + t^4.086 + t^4.344 + t^4.38 + t^4.509 + t^4.638 + t^4.767 + t^4.896 + t^5.025 + t^5.19 + t^5.319 + 2*t^5.448 + t^5.577 + 2*t^5.706 - t^6. + 3*t^6.129 + 3*t^6.258 + t^6.387 - t^6.423 + t^6.516 + t^6.552 + 2*t^6.681 + 3*t^6.81 + 2*t^6.939 + t^6.975 + 2*t^7.068 + t^7.104 + t^7.197 + t^7.233 + 2*t^7.362 + 3*t^7.491 + 3*t^7.62 + t^7.749 + 2*t^7.878 + 2*t^7.914 + 2*t^8.043 + 3*t^8.301 + t^8.337 + 3*t^8.43 + 2*t^8.559 - 2*t^8.595 + t^8.688 + t^8.76 + t^8.889 + 4*t^8.982 - t^4.362/y - t^6.534/y - t^7.215/y + t^7.509/y + t^7.767/y + t^7.896/y + t^8.025/y + t^8.19/y + t^8.319/y + (2*t^8.448)/y + (2*t^8.577)/y + t^8.871/y - t^4.362*y - t^6.534*y - t^7.215*y + t^7.509*y + t^7.767*y + t^7.896*y + t^8.025*y + t^8.19*y + t^8.319*y + 2*t^8.448*y + 2*t^8.577*y + t^8.871*y | g1^12*t^2.172 + t^2.595/g1^5 + g1^4*t^2.724 + g1^13*t^2.853 + t^3.276/g1^4 + g1^5*t^3.405 + g1^14*t^3.534 + (2*t^3.957)/g1^3 + g1^6*t^4.086 + g1^24*t^4.344 + t^4.38/g1^20 + t^4.509/g1^11 + t^4.638/g1^2 + g1^7*t^4.767 + g1^16*t^4.896 + g1^25*t^5.025 + t^5.19/g1^10 + t^5.319/g1 + 2*g1^8*t^5.448 + g1^17*t^5.577 + 2*g1^26*t^5.706 - t^6. + 3*g1^9*t^6.129 + 3*g1^18*t^6.258 + g1^27*t^6.387 - t^6.423/g1^17 + g1^36*t^6.516 + t^6.552/g1^8 + 2*g1*t^6.681 + 3*g1^10*t^6.81 + 2*g1^19*t^6.939 + t^6.975/g1^25 + 2*g1^28*t^7.068 + t^7.104/g1^16 + g1^37*t^7.197 + t^7.233/g1^7 + 2*g1^2*t^7.362 + 3*g1^11*t^7.491 + 3*g1^20*t^7.62 + g1^29*t^7.749 + 2*g1^38*t^7.878 + (2*t^7.914)/g1^6 + 2*g1^3*t^8.043 + 3*g1^21*t^8.301 + t^8.337/g1^23 + 3*g1^30*t^8.43 + 2*g1^39*t^8.559 - (2*t^8.595)/g1^5 + g1^48*t^8.688 + t^8.76/g1^40 + t^8.889/g1^31 + 4*g1^22*t^8.982 - (g1^2*t^4.362)/y - (g1^14*t^6.534)/y - (g1^15*t^7.215)/y + t^7.509/(g1^11*y) + (g1^7*t^7.767)/y + (g1^16*t^7.896)/y + (g1^25*t^8.025)/y + t^8.19/(g1^10*y) + t^8.319/(g1*y) + (2*g1^8*t^8.448)/y + (2*g1^17*t^8.577)/y + t^8.871/(g1^9*y) - g1^2*t^4.362*y - g1^14*t^6.534*y - g1^15*t^7.215*y + (t^7.509*y)/g1^11 + g1^7*t^7.767*y + g1^16*t^7.896*y + g1^25*t^8.025*y + (t^8.19*y)/g1^10 + (t^8.319*y)/g1 + 2*g1^8*t^8.448*y + 2*g1^17*t^8.577*y + (t^8.871*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1147 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6302 | 0.7777 | 0.8103 | [M:[1.12, 1.04, 1.2, 0.8, 0.88], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + t^5.04 + 2*t^5.28 + t^5.52 + t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 157539/250000, c: 97207/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 1150 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.6584 | 0.8122 | 0.8107 | [M:[0.9935, 1.0789, 1.1514, 0.8486, 0.7633, 1.0065], q:[0.7697, 0.5395], qb:[0.467, 0.3816], phi:[0.4605]] | t^2.29 + t^2.546 + t^2.763 + t^3.019 + t^3.237 + t^3.454 + t^3.671 + 2*t^3.928 + t^4.145 + t^4.184 + t^4.401 + t^4.58 + t^4.618 + t^4.836 + t^5.053 + t^5.092 + 2*t^5.309 + t^5.527 + t^5.565 + t^5.783 + t^5.961 - t^6. - t^4.382/y - t^4.382*y | detail | |
| 1145 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6483 | 0.799 | 0.8114 | [M:[1.0588, 1.0588, 1.1765, 0.8235, 0.8235], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | 2*t^2.471 + t^2.824 + 2*t^3.176 + t^3.529 + 4*t^3.882 + 2*t^4.235 + t^4.588 + 3*t^4.941 + 2*t^5.294 + 3*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 50961/78608, c: 31405/39304, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 14/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
| 1149 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6527 | 0.803 | 0.8129 | [M:[0.9631, 1.0883, 1.1396, 0.8604, 0.7352, 1.0883], q:[0.7721, 0.5441], qb:[0.4928, 0.3676], phi:[0.4559]] | t^2.205 + t^2.581 + t^2.889 + 2*t^3.265 + t^3.419 + t^3.573 + 2*t^3.949 + t^4.103 + t^4.324 + t^4.411 + t^4.478 + t^4.632 + t^4.787 + t^5.095 + t^5.162 + 2*t^5.47 + 2*t^5.779 + t^5.846 - 2*t^6. - t^4.368/y - t^4.368*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 |
|---|---|---|---|---|---|---|---|---|---|
| 421 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6412 | 0.7805 | 0.8216 | [M:[0.9659, 1.0874, 1.1407, 0.8593], q:[0.7719, 0.5437], qb:[0.4904, 0.3689], phi:[0.4563]] | t^2.578 + t^2.738 + t^2.898 + t^3.262 + t^3.422 + t^3.582 + t^3.787 + 2*t^3.947 + t^4.107 + t^4.311 + t^4.471 + t^4.631 + t^5.156 + t^5.316 + t^5.475 + t^5.795 - t^6. - t^4.369/y - t^4.369*y | detail |