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 |
---|---|---|---|---|---|---|---|---|---|
1546 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6781 | 0.8467 | 0.8009 | [M:[1.011, 0.7404, 0.9027, 0.8487, 1.1513, 1.1243, 0.7134], q:[0.6188, 0.3702], qb:[0.4785, 0.7811], phi:[0.4379]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [-1, 5]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$ | ${}$ | -2 | t^2.14 + t^2.221 + t^2.546 + t^2.708 + t^3.033 + t^3.373 + t^3.454 + t^3.535 + t^4.185 + t^4.2 + 2*t^4.281 + t^4.362 + t^4.443 + t^4.605 + t^4.686 + t^4.767 + t^4.848 + t^4.929 + t^5.026 + t^5.092 + t^5.173 + t^5.254 + t^5.416 + t^5.513 + 2*t^5.594 + t^5.675 + t^5.741 + t^5.756 + t^5.919 - 2*t^6. + t^6.066 + t^6.081 + t^6.162 + t^6.243 + t^6.34 + t^6.406 + 2*t^6.421 + 2*t^6.502 + t^6.583 + t^6.664 + t^6.731 + t^6.746 + 2*t^6.827 + 2*t^6.908 + 3*t^6.989 + 2*t^7.07 + t^7.151 + t^7.166 + t^7.218 + t^7.247 + t^7.314 + t^7.395 + t^7.476 + t^7.557 + t^7.572 + 2*t^7.638 + 2*t^7.653 + 3*t^7.734 + 3*t^7.815 + t^7.881 + t^7.896 + t^7.962 + t^7.977 + t^8.124 - 2*t^8.14 + t^8.206 - 2*t^8.221 + t^8.287 + 2*t^8.302 + t^8.369 + t^8.383 + t^8.399 + t^8.449 + t^8.464 + 2*t^8.48 - 2*t^8.546 + 3*t^8.561 + t^8.627 + 2*t^8.642 - 3*t^8.708 + 2*t^8.723 + t^8.774 + t^8.79 + t^8.804 + t^8.87 + t^8.885 + t^8.951 + t^8.967 - t^4.314/y - t^6.454/y - t^6.535/y - t^7.022/y + t^7.281/y - t^7.347/y + t^7.362/y + t^7.605/y + t^7.686/y + t^7.767/y + t^7.848/y + t^7.929/y + t^8.092/y + (2*t^8.173)/y + (2*t^8.254)/y + t^8.513/y + t^8.579/y + t^8.594/y + t^8.675/y + t^8.741/y + t^8.919/y - t^4.314*y - t^6.454*y - t^6.535*y - t^7.022*y + t^7.281*y - t^7.347*y + t^7.362*y + t^7.605*y + t^7.686*y + t^7.767*y + t^7.848*y + t^7.929*y + t^8.092*y + 2*t^8.173*y + 2*t^8.254*y + t^8.513*y + t^8.579*y + t^8.594*y + t^8.675*y + t^8.741*y + t^8.919*y | (g2^5*t^2.14)/g1 + t^2.221/(g1^2*g2^2) + (g1*t^2.546)/g2 + t^2.708/(g1*g2^15) + (g1^2*t^3.033)/g2^14 + g2^8*t^3.373 + (g2*t^3.454)/g1 + t^3.535/(g1^2*g2^6) + (g1^4*t^4.185)/g2^4 + (g2^17*t^4.2)/g1 + (2*g2^10*t^4.281)/g1^2 + (g2^3*t^4.362)/g1^3 + t^4.443/(g1^4*g2^4) + g1*g2^11*t^4.605 + g2^4*t^4.686 + t^4.767/(g1*g2^3) + t^4.848/(g1^2*g2^10) + t^4.929/(g1^3*g2^17) + (g2^26*t^5.026)/g1^2 + (g1^2*t^5.092)/g2^2 + (g1*t^5.173)/g2^9 + t^5.254/g2^16 + t^5.416/(g1^2*g2^30) + (g2^13*t^5.513)/g1 + (2*g2^6*t^5.594)/g1^2 + t^5.675/(g1^3*g2) + (g1*t^5.741)/g2^29 + t^5.756/(g1^4*g2^8) + g1*g2^7*t^5.919 - 2*t^6. + (g1^4*t^6.066)/g2^28 + t^6.081/(g1*g2^7) + t^6.162/(g1^2*g2^14) + t^6.243/(g1^3*g2^21) + (g2^22*t^6.34)/g1^2 + (g1^2*t^6.406)/g2^6 + (2*g2^15*t^6.421)/g1^3 + (2*g2^8*t^6.502)/g1^4 + (g2*t^6.583)/g1^5 + t^6.664/(g1^6*g2^6) + (g1^5*t^6.731)/g2^5 + g2^16*t^6.746 + (2*g2^9*t^6.827)/g1 + (2*g2^2*t^6.908)/g1^2 + (3*t^6.989)/(g1^3*g2^5) + (2*t^7.07)/(g1^4*g2^12) + t^7.151/(g1^5*g2^19) + (g2^31*t^7.166)/g1^3 + (g1^6*t^7.218)/g2^18 + (g2^24*t^7.247)/g1^4 + t^7.314/g2^4 + t^7.395/(g1*g2^11) + t^7.476/(g1^2*g2^18) + t^7.557/(g1^3*g2^25) + (g2^25*t^7.572)/g1 + t^7.638/(g1^4*g2^32) + (g1^3*t^7.638)/g2^3 + (2*g2^18*t^7.653)/g1^2 + (3*g2^11*t^7.734)/g1^3 + (3*g2^4*t^7.815)/g1^4 + t^7.881/g2^24 + t^7.896/(g1^5*g2^3) + t^7.962/(g1*g2^31) + t^7.977/(g1^6*g2^10) + t^8.124/(g1^3*g2^45) - (2*g2^5*t^8.14)/g1 + (g1^3*t^8.206)/g2^23 - (2*t^8.221)/(g1^2*g2^2) + (g1^2*t^8.287)/g2^30 + (2*t^8.302)/(g1^3*g2^9) + (g1^8*t^8.369)/g2^8 + t^8.383/(g1^4*g2^16) + (g2^34*t^8.399)/g1^2 + t^8.449/g2^44 + t^8.464/(g1^5*g2^23) + (2*g2^27*t^8.48)/g1^3 - (2*g1*t^8.546)/g2 + (3*g2^20*t^8.561)/g1^4 + t^8.627/g2^8 + (2*g2^13*t^8.642)/g1^5 - (3*t^8.708)/(g1*g2^15) + (2*g2^6*t^8.723)/g1^6 + (g1^3*t^8.774)/g2^43 + g1^5*g2^7*t^8.79 + t^8.804/(g1^7*g2) + t^8.87/(g1^3*g2^29) + t^8.885/(g1^8*g2^8) + t^8.951/(g1^4*g2^36) + (g2^14*t^8.967)/g1^2 - t^4.314/(g2^4*y) - (g2*t^6.454)/(g1*y) - t^6.535/(g1^2*g2^6*y) - t^7.022/(g1*g2^19*y) + (g2^10*t^7.281)/(g1^2*y) - (g1^2*t^7.347)/(g2^18*y) + (g2^3*t^7.362)/(g1^3*y) + (g1*g2^11*t^7.605)/y + (g2^4*t^7.686)/y + t^7.767/(g1*g2^3*y) + t^7.848/(g1^2*g2^10*y) + t^7.929/(g1^3*g2^17*y) + (g1^2*t^8.092)/(g2^2*y) + (2*g1*t^8.173)/(g2^9*y) + (2*t^8.254)/(g2^16*y) + (g2^13*t^8.513)/(g1*y) + (g1^3*t^8.579)/(g2^15*y) + (g2^6*t^8.594)/(g1^2*y) + t^8.675/(g1^3*g2*y) + (g1*t^8.741)/(g2^29*y) + (g1*g2^7*t^8.919)/y - (t^4.314*y)/g2^4 - (g2*t^6.454*y)/g1 - (t^6.535*y)/(g1^2*g2^6) - (t^7.022*y)/(g1*g2^19) + (g2^10*t^7.281*y)/g1^2 - (g1^2*t^7.347*y)/g2^18 + (g2^3*t^7.362*y)/g1^3 + g1*g2^11*t^7.605*y + g2^4*t^7.686*y + (t^7.767*y)/(g1*g2^3) + (t^7.848*y)/(g1^2*g2^10) + (t^7.929*y)/(g1^3*g2^17) + (g1^2*t^8.092*y)/g2^2 + (2*g1*t^8.173*y)/g2^9 + (2*t^8.254*y)/g2^16 + (g2^13*t^8.513*y)/g1 + (g1^3*t^8.579*y)/g2^15 + (g2^6*t^8.594*y)/g1^2 + (t^8.675*y)/(g1^3*g2) + (g1*t^8.741*y)/g2^29 + g1*g2^7*t^8.919*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 |
---|---|---|---|---|---|---|---|---|
2646 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$ | 0.659 | 0.8115 | 0.8121 | [M:[1.0037, 0.7564, 0.9183, 0.8418, 1.1582, 1.12, 0.7182, 1.2436], q:[0.6181, 0.3782], qb:[0.4636, 0.78], phi:[0.44]] | t^2.155 + t^2.525 + t^2.755 + t^3.011 + t^3.36 + t^3.475 + t^3.589 + t^3.731 + t^4.102 + t^4.194 + 2*t^4.309 + t^4.565 + t^4.68 + t^4.909 + t^5.029 + t^5.051 + t^5.166 + t^5.51 + t^5.514 + t^5.629 + t^5.766 + 2*t^5.885 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
2650 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ | 0.6726 | 0.8389 | 0.8018 | [M:[1.0455, 0.775, 0.9804, 0.8401, 1.1599, 1.0898, 0.7048, 1.0196], q:[0.567, 0.3875], qb:[0.4526, 0.7724], phi:[0.4551]] | t^2.114 + t^2.325 + t^2.52 + t^3.059 + t^3.137 + t^3.269 + t^3.48 + t^3.69 + t^4.018 + t^4.081 + 2*t^4.229 + t^4.424 + t^4.439 + t^4.635 + t^4.65 + t^4.767 + t^4.845 + t^5.041 + t^5.173 + t^5.251 + 2*t^5.384 + t^5.579 + 2*t^5.594 + t^5.79 + t^5.805 - 2*t^6. - t^4.365/y - t^4.365*y | detail | |
2648 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ | 0.6916 | 0.8693 | 0.7956 | [M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]] | t^2.157 + t^2.256 + 2*t^2.529 + t^2.727 + t^3. + t^3.372 + t^3.57 + t^4.116 + t^4.215 + 2*t^4.314 + t^4.413 + t^4.512 + t^4.587 + 2*t^4.686 + 2*t^4.785 + t^4.884 + t^4.983 + 4*t^5.058 + t^5.157 + 2*t^5.256 + t^5.454 + 2*t^5.529 + t^5.628 + t^5.727 + t^5.826 + 2*t^5.901 - 2*t^6. - t^4.314/y - t^4.314*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 |
---|---|---|---|---|---|---|---|---|---|
984 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6579 | 0.8086 | 0.8137 | [M:[1.0037, 0.7433, 0.9002, 0.8467, 1.1533, 1.1265], q:[0.6247, 0.3716], qb:[0.4751, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.701 + t^3.011 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.161 + t^4.219 + t^4.299 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.058 + t^5.08 + t^5.241 + t^5.401 + t^5.609 + t^5.712 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |