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 |
|---|---|---|---|---|---|---|---|---|---|
| 941 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ | 0.7054 | 0.8656 | 0.815 | [M:[0.8743, 1.0419, 0.9581, 0.9581, 1.0419, 0.9581], q:[0.6048, 0.521], qb:[0.4371, 0.521], phi:[0.479]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [4, -4]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$ | -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 | g1^20*g2^12*t^2.623 + (2*g1^4*t^2.874)/g2^4 + g1^6*g2^2*t^2.874 + g1^8*g2^8*t^2.874 + t^3.126/(g1^8*g2^8) + t^3.377/g1^16 + g1^19*g2*t^4.06 + (g1^7*t^4.311)/g2^3 + g1^11*g2^9*t^4.311 + (2*t^4.563)/(g1^5*g2^7) + (g2^5*t^4.563)/g1 + g1^3*g2^17*t^4.563 + t^4.814/(g1^17*g2^11) + (g2*t^4.814)/g1^13 + t^5.066/(g1^29*g2^15) + g1^40*g2^24*t^5.246 + g1^24*g2^8*t^5.497 + g1^26*g2^14*t^5.497 + g1^28*g2^20*t^5.497 + (2*g1^8*t^5.749)/g2^8 + (2*g1^10*t^5.749)/g2^2 + 2*g1^12*g2^4*t^5.749 + g1^14*g2^10*t^5.749 - 3*t^6. + t^6./(g1^4*g2^12) + t^6./(g1^2*g2^6) - t^6.251/(g1^12*g2^4) + (g2^2*t^6.251)/g1^10 + g1^39*g2^13*t^6.683 + t^6.754/g1^32 + (2*g1^23*t^6.934)/g2^3 + g1^25*g2^3*t^6.934 + g1^27*g2^9*t^6.934 + g1^31*g2^21*t^6.934 + (2*g1^11*t^7.186)/g2^7 + 2*g1^15*g2^5*t^7.186 + g1^17*g2^11*t^7.186 + g1^19*g2^17*t^7.186 + g1^23*g2^29*t^7.186 + (3*t^7.437)/(g1*g2^11) + (g1*t^7.437)/g2^5 + 2*g1^3*g2*t^7.437 + 2*g1^7*g2^13*t^7.437 + g1^9*g2^19*t^7.437 + g1^11*g2^25*t^7.437 + (2*t^7.689)/(g1^13*g2^15) - t^7.689/(g1^11*g2^9) + t^7.689/(g1^9*g2^3) + (g2^9*t^7.689)/g1^5 - (g2^15*t^7.689)/g1^3 + g1^60*g2^36*t^7.869 + (2*t^7.94)/(g1^25*g2^19) + t^7.94/(g1^21*g2^7) - t^7.94/(g1^19*g2) + (g2^17*t^7.94)/g1^13 + g1^38*g2^2*t^8.12 + g1^44*g2^20*t^8.12 + g1^46*g2^26*t^8.12 + g1^48*g2^32*t^8.12 + t^8.191/(g1^37*g2^23) - t^8.191/(g1^35*g2^17) + (g2*t^8.191)/g1^29 + (g1^26*t^8.371)/g2^2 + 2*g1^30*g2^10*t^8.371 + 2*g1^32*g2^16*t^8.371 + g1^34*g2^22*t^8.371 + t^8.443/(g1^45*g2^15) + g1^16*t^8.623 + (2*g1^12*t^8.623)/g2^12 + (4*g1^14*t^8.623)/g2^6 + 3*g1^18*g2^6*t^8.623 - 2*g1^20*g2^12*t^8.623 + g1^22*g2^18*t^8.623 + t^8.874/g2^16 + (3*g1^2*t^8.874)/g2^10 - (6*g1^4*t^8.874)/g2^4 - g1^6*g2^2*t^8.874 - 5*g1^8*g2^8*t^8.874 + g1^10*g2^14*t^8.874 - g1^12*g2^20*t^8.874 + g1^14*g2^26*t^8.874 - (g1^3*g2*t^4.437)/y - (g1^23*g2^13*t^7.06)/y - (g1^7*t^7.311)/(g2^3*y) - (g1^9*g2^3*t^7.311)/y + t^7.563/(g1^3*g2*y) + (g2^5*t^7.563)/(g1*y) + t^7.814/(g1^17*g2^11*y) + (2*g1^24*g2^8*t^8.497)/y + (g1^26*g2^14*t^8.497)/y + (g1^28*g2^20*t^8.497)/y + (g1^8*t^8.749)/(g2^8*y) + (2*g1^10*t^8.749)/(g2^2*y) + (3*g1^12*g2^4*t^8.749)/y + (g1^14*g2^10*t^8.749)/y - g1^3*g2*t^4.437*y - g1^23*g2^13*t^7.06*y - (g1^7*t^7.311*y)/g2^3 - g1^9*g2^3*t^7.311*y + (t^7.563*y)/(g1^3*g2) + (g2^5*t^7.563*y)/g1 + (t^7.814*y)/(g1^17*g2^11) + 2*g1^24*g2^8*t^8.497*y + g1^26*g2^14*t^8.497*y + g1^28*g2^20*t^8.497*y + (g1^8*t^8.749*y)/g2^8 + (2*g1^10*t^8.749*y)/g2^2 + 3*g1^12*g2^4*t^8.749*y + g1^14*g2^10*t^8.749*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 |
|---|---|---|---|---|---|---|---|---|
| 1452 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7104 | 0.8752 | 0.8117 | [M:[0.8402, 1.0648, 0.9352, 0.9697, 1.0303, 0.9697, 0.9352], q:[0.6274, 0.5324], qb:[0.4374, 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 | |
| 1450 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7187 | 0.8911 | 0.8065 | [M:[0.8499, 1.0412, 0.9588, 0.9323, 1.0677, 0.9323, 0.8234], q:[0.6295, 0.5206], qb:[0.4117, 0.5471], phi:[0.4728]] | t^2.47 + t^2.55 + 2*t^2.797 + t^2.837 + t^2.876 + t^3.124 + t^3.888 + t^4.215 + t^4.295 + 2*t^4.542 + t^4.621 + t^4.701 + t^4.869 + t^4.94 + t^4.948 + t^5.02 + t^5.099 + t^5.196 + 2*t^5.267 + t^5.307 + 2*t^5.346 + t^5.386 + t^5.426 + 3*t^5.594 + 2*t^5.633 + 2*t^5.673 + t^5.713 + t^5.92 + t^5.96 - 3*t^6. - t^4.418/y - t^4.418*y | detail | |
| 2091 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.5654 | 0.7 | 0.8078 | [X:[1.5765], M:[0.4235, 1.2705, 0.7295, 0.9645, 1.0355, 0.9645], q:[0.9413, 0.6352], qb:[0.3292, 0.4003], phi:[0.4235]] | t^2.189 + t^2.541 + 2*t^2.893 + t^3.246 + t^3.459 + t^3.672 + t^3.811 + t^4.025 + t^4.377 + 2*t^4.73 + 3*t^5.082 + 2*t^5.434 + 3*t^5.787 + t^5.861 - t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ | 0.7026 | 0.8611 | 0.8159 | [M:[0.8739, 1.054, 0.946, 0.9819, 1.0181], q:[0.5991, 0.527], qb:[0.4549, 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 |