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 |
|---|---|---|---|---|---|---|---|---|---|
| 47092 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ | 0.7054 | 0.8656 | 0.815 | [M:[1.0419, 0.8743, 0.9581, 1.0419, 0.9581, 0.9581], q:[0.521, 0.4371], qb:[0.6048, 0.521], phi:[0.479]] | [M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8], [-4, -12]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.623 + 4*t^2.874 + t^3.126 + t^3.377 + t^4.06 + 2*t^4.311 + 4*t^4.563 + 2*t^4.814 + t^5.066 + t^5.246 + 3*t^5.497 + 7*t^5.749 - t^6. + t^6.683 + t^6.754 + 5*t^6.934 + 7*t^7.186 + 10*t^7.437 + 2*t^7.689 + t^7.869 + 3*t^7.94 + 4*t^8.12 + t^8.191 + 6*t^8.371 + t^8.443 + 9*t^8.623 - 7*t^8.874 - t^4.437/y - t^7.06/y - (2*t^7.311)/y + (2*t^7.563)/y + t^7.814/y + (4*t^8.497)/y + (7*t^8.749)/y - t^4.437*y - t^7.06*y - 2*t^7.311*y + 2*t^7.563*y + t^7.814*y + 4*t^8.497*y + 7*t^8.749*y | (g2^4*t^2.623)/g1^20 + (2*t^2.874)/(g1^4*g2^12) + t^2.874/(g1^6*g2^2) + (g2^8*t^2.874)/g1^8 + (g1^8*t^3.126)/g2^8 + g1^16*g2^16*t^3.377 + t^4.06/(g1^19*g2^17) + t^4.311/(g1^7*g2^13) + (g2^7*t^4.311)/g1^11 + (2*g1^5*t^4.563)/g2^9 + g1*g2^11*t^4.563 + (g2^31*t^4.563)/g1^3 + (g1^17*t^4.814)/g2^5 + g1^13*g2^15*t^4.814 + (g1^29*t^5.066)/g2 + (g2^8*t^5.246)/g1^40 + t^5.497/(g1^24*g2^8) + (g2^2*t^5.497)/g1^26 + (g2^12*t^5.497)/g1^28 + (2*t^5.749)/(g1^8*g2^24) + (2*t^5.749)/(g1^10*g2^14) + (2*t^5.749)/(g1^12*g2^4) + (g2^6*t^5.749)/g1^14 - 3*t^6. + (g1^4*t^6.)/g2^20 + (g1^2*t^6.)/g2^10 - g1^12*g2^4*t^6.251 + g1^10*g2^14*t^6.251 + t^6.683/(g1^39*g2^13) + g1^32*g2^32*t^6.754 + (2*t^6.934)/(g1^23*g2^29) + t^6.934/(g1^25*g2^19) + t^6.934/(g1^27*g2^9) + (g2^11*t^6.934)/g1^31 + (2*t^7.186)/(g1^11*g2^25) + (2*t^7.186)/(g1^15*g2^5) + (g2^5*t^7.186)/g1^17 + (g2^15*t^7.186)/g1^19 + (g2^35*t^7.186)/g1^23 + (3*g1*t^7.437)/g2^21 + t^7.437/(g1*g2^11) + (2*t^7.437)/(g1^3*g2) + (2*g2^19*t^7.437)/g1^7 + (g2^29*t^7.437)/g1^9 + (g2^39*t^7.437)/g1^11 + (2*g1^13*t^7.689)/g2^17 - (g1^11*t^7.689)/g2^7 + g1^9*g2^3*t^7.689 + g1^5*g2^23*t^7.689 - g1^3*g2^33*t^7.689 + (g2^12*t^7.869)/g1^60 + (2*g1^25*t^7.94)/g2^13 + g1^21*g2^7*t^7.94 - g1^19*g2^17*t^7.94 + g1^13*g2^47*t^7.94 + t^8.12/(g1^38*g2^34) + t^8.12/(g1^44*g2^4) + (g2^6*t^8.12)/g1^46 + (g2^16*t^8.12)/g1^48 + (g1^37*t^8.191)/g2^9 - g1^35*g2*t^8.191 + g1^29*g2^31*t^8.191 + (2*t^8.371)/g1^32 + t^8.371/(g1^26*g2^30) + (2*t^8.371)/(g1^30*g2^10) + (g2^10*t^8.371)/g1^34 + g1^45*g2^15*t^8.443 + (2*t^8.623)/(g1^12*g2^36) + (4*t^8.623)/(g1^14*g2^26) + t^8.623/(g1^16*g2^16) + (3*t^8.623)/(g1^18*g2^6) - (2*g2^4*t^8.623)/g1^20 + (g2^14*t^8.623)/g1^22 + t^8.874/g2^32 + (3*t^8.874)/(g1^2*g2^22) - (6*t^8.874)/(g1^4*g2^12) - t^8.874/(g1^6*g2^2) - (5*g2^8*t^8.874)/g1^8 + (g2^18*t^8.874)/g1^10 - (g2^28*t^8.874)/g1^12 + (g2^38*t^8.874)/g1^14 - t^4.437/(g1^3*g2*y) - (g2^3*t^7.06)/(g1^23*y) - t^7.311/(g1^7*g2^13*y) - t^7.311/(g1^9*g2^3*y) + (g1^3*g2*t^7.563)/y + (g1*g2^11*t^7.563)/y + (g1^17*t^7.814)/(g2^5*y) + (2*t^8.497)/(g1^24*g2^8*y) + (g2^2*t^8.497)/(g1^26*y) + (g2^12*t^8.497)/(g1^28*y) + t^8.749/(g1^8*g2^24*y) + (2*t^8.749)/(g1^10*g2^14*y) + (3*t^8.749)/(g1^12*g2^4*y) + (g2^6*t^8.749)/(g1^14*y) - (t^4.437*y)/(g1^3*g2) - (g2^3*t^7.06*y)/g1^23 - (t^7.311*y)/(g1^7*g2^13) - (t^7.311*y)/(g1^9*g2^3) + g1^3*g2*t^7.563*y + g1*g2^11*t^7.563*y + (g1^17*t^7.814*y)/g2^5 + (2*t^8.497*y)/(g1^24*g2^8) + (g2^2*t^8.497*y)/g1^26 + (g2^12*t^8.497*y)/g1^28 + (t^8.749*y)/(g1^8*g2^24) + (2*t^8.749*y)/(g1^10*g2^14) + (3*t^8.749*y)/(g1^12*g2^4) + (g2^6*t^8.749*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55629 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7104 | 0.8752 | 0.8117 | [M:[1.0303, 0.8402, 0.9697, 1.0648, 0.9352, 0.9697, 0.9352], q:[0.5324, 0.4374], qb:[0.6274, 0.4979], phi:[0.4762]] | t^2.521 + 2*t^2.806 + t^2.857 + 2*t^2.909 + t^3.376 + t^4.053 + t^4.234 + t^4.338 + t^4.416 + t^4.52 + 2*t^4.623 + t^4.805 + t^4.908 + t^5.041 + t^5.193 + 2*t^5.326 + t^5.378 + t^5.43 + 2*t^5.611 + 2*t^5.663 + 3*t^5.715 + 2*t^5.767 + 2*t^5.818 - 4*t^6. - t^4.429/y - t^4.429*y | detail | |
| 50938 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6977 | 0.8557 | 0.8153 | [M:[1.0564, 0.9812, 0.9436, 0.9812, 1.0188, 0.9436], q:[0.4906, 0.453], qb:[0.5282, 0.5658], phi:[0.4906]] | 2*t^2.831 + 3*t^2.944 + t^3.056 + t^3.282 + t^4.19 + t^4.303 + 2*t^4.415 + 2*t^4.528 + 2*t^4.641 + t^4.754 + t^4.866 + 2*t^5.662 + 4*t^5.775 + 5*t^5.887 - t^6. - t^4.472/y - t^4.472*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46784 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.7026 | 0.8611 | 0.8159 | [M:[1.0181, 0.8739, 0.9819, 1.054, 0.946], q:[0.527, 0.4549], qb:[0.5991, 0.4911], phi:[0.482]] | t^2.622 + t^2.838 + t^2.892 + t^2.946 + t^3.054 + t^3.162 + t^3.271 + t^4.175 + t^4.284 + t^4.391 + t^4.393 + t^4.5 + 2*t^4.608 + t^4.717 + t^4.824 + t^5.041 + t^5.243 + t^5.46 + t^5.513 + t^5.676 + t^5.73 + t^5.784 + t^5.837 + t^5.892 + t^5.946 - 2*t^6. - t^4.446/y - t^4.446*y | detail |