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 |
---|---|---|---|---|---|---|---|---|---|
943 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7134 | 0.8806 | 0.8101 | [M:[0.846, 1.0534, 0.9466, 0.9529, 1.0471, 0.8524], q:[0.6272, 0.5267], qb:[0.4262, 0.5203], phi:[0.4749]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [16, 0]], 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 |
---|---|---|---|---|
${}M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.538 + t^2.557 + t^2.84 + t^2.849 + t^2.859 + t^3.141 + t^3.16 + t^3.982 + t^4.264 + t^4.283 + t^4.547 + t^4.566 + 2*t^4.585 + t^4.867 + t^4.886 + t^5.076 + t^5.095 + t^5.115 + t^5.188 + t^5.378 + t^5.387 + t^5.397 + t^5.407 + t^5.416 + t^5.679 + t^5.689 + 2*t^5.698 + t^5.708 + t^5.718 + t^5.99 - 2*t^6. + t^6.01 - 2*t^6.302 + t^6.52 + t^6.539 - t^6.603 + t^6.802 + 2*t^6.822 + t^6.831 + 2*t^6.841 + t^7.085 + 2*t^7.104 + t^7.114 + 3*t^7.123 + 3*t^7.142 + t^7.386 + t^7.396 + 2*t^7.405 + 2*t^7.425 + t^7.434 + 2*t^7.444 + t^7.614 + t^7.634 + t^7.653 + t^7.672 + t^7.688 - t^7.697 + t^7.707 + t^7.726 - t^7.736 + 2*t^7.745 + t^7.916 + t^7.926 + t^7.935 + t^7.945 + t^7.954 + 2*t^7.964 + t^7.973 - t^8.018 + t^8.047 + t^8.217 + t^8.227 + 2*t^8.237 + 2*t^8.246 + t^8.256 + 2*t^8.265 + t^8.275 - t^8.339 + t^8.348 + 2*t^8.529 - 2*t^8.538 + 3*t^8.548 - 3*t^8.557 + 3*t^8.567 + t^8.811 - t^8.82 + t^8.83 - 4*t^8.84 - 5*t^8.859 + 2*t^8.868 - t^4.425/y - t^6.963/y - t^6.982/y - t^7.274/y + t^7.575/y + t^7.867/y + t^7.886/y + t^8.095/y + t^8.378/y + t^8.387/y + (2*t^8.397)/y + t^8.407/y + t^8.416/y + t^8.679/y + t^8.689/y + (3*t^8.698)/y + t^8.708/y + t^8.718/y + t^8.981/y + t^8.99/y - t^4.425*y - t^6.963*y - t^6.982*y - t^7.274*y + t^7.575*y + t^7.867*y + t^7.886*y + t^8.095*y + t^8.378*y + t^8.387*y + 2*t^8.397*y + t^8.407*y + t^8.416*y + t^8.679*y + t^8.689*y + 3*t^8.698*y + t^8.708*y + t^8.718*y + t^8.981*y + t^8.99*y | g1^20*g2^12*t^2.538 + g1^16*t^2.557 + g1^8*g2^8*t^2.84 + g1^6*g2^2*t^2.849 + (g1^4*t^2.859)/g2^4 + (g2^4*t^3.141)/g1^4 + t^3.16/(g1^8*g2^8) + g1^19*g2*t^3.982 + g1^11*g2^9*t^4.264 + (g1^7*t^4.283)/g2^3 + g1^3*g2^17*t^4.547 + (g2^5*t^4.566)/g1 + (2*t^4.585)/(g1^5*g2^7) + (g2*t^4.867)/g1^13 + t^4.886/(g1^17*g2^11) + g1^40*g2^24*t^5.076 + g1^36*g2^12*t^5.095 + g1^32*t^5.115 + t^5.188/(g1^29*g2^15) + g1^28*g2^20*t^5.378 + g1^26*g2^14*t^5.387 + g1^24*g2^8*t^5.397 + g1^22*g2^2*t^5.407 + (g1^20*t^5.416)/g2^4 + g1^16*g2^16*t^5.679 + g1^14*g2^10*t^5.689 + 2*g1^12*g2^4*t^5.698 + (g1^10*t^5.708)/g2^2 + (g1^8*t^5.718)/g2^8 + g1^2*g2^6*t^5.99 - 2*t^6. + t^6.01/(g1^2*g2^6) - (2*t^6.302)/(g1^12*g2^4) + g1^39*g2^13*t^6.52 + g1^35*g2*t^6.539 - t^6.603/(g1^24*g2^8) + g1^31*g2^21*t^6.802 + 2*g1^27*g2^9*t^6.822 + g1^25*g2^3*t^6.831 + (2*g1^23*t^6.841)/g2^3 + g1^23*g2^29*t^7.085 + 2*g1^19*g2^17*t^7.104 + g1^17*g2^11*t^7.114 + 3*g1^15*g2^5*t^7.123 + (3*g1^11*t^7.142)/g2^7 + g1^11*g2^25*t^7.386 + g1^9*g2^19*t^7.396 + 2*g1^7*g2^13*t^7.405 + 2*g1^3*g2*t^7.425 + (g1*t^7.434)/g2^5 + (2*t^7.444)/(g1*g2^11) + g1^60*g2^36*t^7.614 + g1^56*g2^24*t^7.634 + g1^52*g2^12*t^7.653 + g1^48*t^7.672 + (g2^21*t^7.688)/g1 - (g2^15*t^7.697)/g1^3 + (g2^9*t^7.707)/g1^5 + t^7.726/(g1^9*g2^3) - t^7.736/(g1^11*g2^9) + (2*t^7.745)/(g1^13*g2^15) + g1^48*g2^32*t^7.916 + g1^46*g2^26*t^7.926 + g1^44*g2^20*t^7.935 + g1^42*g2^14*t^7.945 + g1^40*g2^8*t^7.954 + 2*g1^38*g2^2*t^7.964 + (g1^36*t^7.973)/g2^4 - t^8.018/(g1^19*g2) + t^8.047/(g1^25*g2^19) + g1^36*g2^28*t^8.217 + g1^34*g2^22*t^8.227 + 2*g1^32*g2^16*t^8.237 + 2*g1^30*g2^10*t^8.246 + g1^28*g2^4*t^8.256 + (2*g1^26*t^8.265)/g2^2 + (g1^24*t^8.275)/g2^8 - t^8.339/(g1^35*g2^17) + t^8.348/(g1^37*g2^23) + 2*g1^22*g2^18*t^8.529 - 2*g1^20*g2^12*t^8.538 + 3*g1^18*g2^6*t^8.548 - 3*g1^16*t^8.557 + (3*g1^14*t^8.567)/g2^6 + g1^14*g2^26*t^8.811 - g1^12*g2^20*t^8.82 + g1^10*g2^14*t^8.83 - 4*g1^8*g2^8*t^8.84 - (5*g1^4*t^8.859)/g2^4 + (2*g1^2*t^8.868)/g2^10 - (g1^3*g2*t^4.425)/y - (g1^23*g2^13*t^6.963)/y - (g1^19*g2*t^6.982)/y - (g1^9*g2^3*t^7.274)/y + t^7.575/(g1^3*g2*y) + (g2*t^7.867)/(g1^13*y) + t^7.886/(g1^17*g2^11*y) + (g1^36*g2^12*t^8.095)/y + (g1^28*g2^20*t^8.378)/y + (g1^26*g2^14*t^8.387)/y + (2*g1^24*g2^8*t^8.397)/y + (g1^22*g2^2*t^8.407)/y + (g1^20*t^8.416)/(g2^4*y) + (g1^16*g2^16*t^8.679)/y + (g1^14*g2^10*t^8.689)/y + (3*g1^12*g2^4*t^8.698)/y + (g1^10*t^8.708)/(g2^2*y) + (g1^8*t^8.718)/(g2^8*y) + (g1^4*g2^12*t^8.981)/y + (g1^2*g2^6*t^8.99)/y - g1^3*g2*t^4.425*y - g1^23*g2^13*t^6.963*y - g1^19*g2*t^6.982*y - g1^9*g2^3*t^7.274*y + (t^7.575*y)/(g1^3*g2) + (g2*t^7.867*y)/g1^13 + (t^7.886*y)/(g1^17*g2^11) + g1^36*g2^12*t^8.095*y + g1^28*g2^20*t^8.378*y + g1^26*g2^14*t^8.387*y + 2*g1^24*g2^8*t^8.397*y + g1^22*g2^2*t^8.407*y + (g1^20*t^8.416*y)/g2^4 + g1^16*g2^16*t^8.679*y + g1^14*g2^10*t^8.689*y + 3*g1^12*g2^4*t^8.698*y + (g1^10*t^8.708*y)/g2^2 + (g1^8*t^8.718*y)/g2^8 + g1^4*g2^12*t^8.981*y + g1^2*g2^6*t^8.99*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 |
---|---|---|---|---|---|---|---|---|
1456 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.71 | 0.8746 | 0.8118 | [M:[0.8432, 1.0655, 0.9345, 0.9742, 1.0258, 0.883, 1.0258], q:[0.624, 0.5328], qb:[0.4415, 0.493], phi:[0.4772]] | t^2.53 + t^2.649 + t^2.803 + t^2.863 + 2*t^3.077 + t^3.197 + t^4.081 + t^4.235 + t^4.354 + t^4.39 + t^4.509 + 2*t^4.628 + t^4.783 + t^4.902 + t^5.059 + t^5.176 + t^5.179 + t^5.298 + t^5.333 + t^5.393 + t^5.512 + 2*t^5.607 + t^5.667 + 2*t^5.726 + t^5.881 + 2*t^5.94 - 3*t^6. - t^4.432/y - t^4.432*y | detail | |
1454 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6951 | 0.8532 | 0.8147 | [M:[0.9402, 1.0427, 0.9573, 1.0256, 0.9744, 1.0085], q:[0.5384, 0.5214], qb:[0.5043, 0.453], phi:[0.4957]] | t^2.821 + t^2.872 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.205 + t^4.359 + t^4.41 + t^4.462 + t^4.513 + t^4.564 + 2*t^4.615 + t^4.667 + t^4.718 + t^5.641 + t^5.692 + t^5.744 + t^5.795 + 2*t^5.846 + 2*t^5.897 + 2*t^5.949 - t^6. - t^4.487/y - t^4.487*y | detail | |
1455 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.847, 1.0534, 0.9466, 0.9538, 1.0462, 0.8541, 0.6708], q:[0.6263, 0.5267], qb:[0.4271, 0.5195], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*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 |