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 |
|---|---|---|---|---|---|---|---|---|---|
| 218 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.5976 | 0.7632 | 0.783 | [M:[0.9572, 1.1283, 0.8717], q:[0.7393, 0.3035], qb:[0.4358, 0.4358], phi:[0.5214]] | [M:[[4, 4], [-12, -12], [12, 12]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.218 + t^2.615 + t^2.872 + t^3.128 + t^3.385 + 2*t^3.525 + 2*t^3.782 + 3*t^4.179 + 3*t^4.436 + 2*t^4.833 + 2*t^5.09 + t^5.23 + 2*t^5.346 + t^5.487 + 5*t^5.743 + 2*t^6.141 + 6*t^6.397 + t^6.513 + 4*t^6.654 + t^6.77 + 3*t^6.794 + 6*t^7.051 + 5*t^7.308 + 2*t^7.448 + t^7.564 + 6*t^7.705 - t^7.821 + t^7.845 + 8*t^7.961 + t^8.102 - 4*t^8.218 + 10*t^8.358 - 2*t^8.475 + 5*t^8.615 + 2*t^8.756 - t^4.564/y + t^7.436/y + (2*t^7.833)/y + (2*t^8.09)/y + (2*t^8.346)/y + t^8.487/y + (2*t^8.603)/y + (5*t^8.743)/y - t^4.564*y + t^7.436*y + 2*t^7.833*y + 2*t^8.09*y + 2*t^8.346*y + t^8.487*y + 2*t^8.603*y + 5*t^8.743*y | (g1^7*t^2.218)/g2^5 + (g2^7*t^2.218)/g1^5 + g1^12*g2^12*t^2.615 + g1^4*g2^4*t^2.872 + t^3.128/(g1^4*g2^4) + t^3.385/(g1^12*g2^12) + g1^13*g2*t^3.525 + g1*g2^13*t^3.525 + (g1^5*t^3.782)/g2^7 + (g2^5*t^3.782)/g1^7 + (g1^22*t^4.179)/g2^2 + g1^10*g2^10*t^4.179 + (g2^22*t^4.179)/g1^2 + (g1^14*t^4.436)/g2^10 + g1^2*g2^2*t^4.436 + (g2^14*t^4.436)/g1^10 + g1^19*g2^7*t^4.833 + g1^7*g2^19*t^4.833 + (g1^11*t^5.09)/g2 + (g2^11*t^5.09)/g1 + g1^24*g2^24*t^5.23 + (g1^3*t^5.346)/g2^9 + (g2^3*t^5.346)/g1^9 + g1^16*g2^16*t^5.487 + (g1^20*t^5.743)/g2^4 + 3*g1^8*g2^8*t^5.743 + (g2^20*t^5.743)/g1^4 + g1^25*g2^13*t^6.141 + g1^13*g2^25*t^6.141 + (g1^29*t^6.397)/g2^7 + 2*g1^17*g2^5*t^6.397 + 2*g1^5*g2^17*t^6.397 + (g2^29*t^6.397)/g1^7 + t^6.513/(g1^16*g2^16) + (g1^21*t^6.654)/g2^15 + (g1^9*t^6.654)/g2^3 + (g2^9*t^6.654)/g1^3 + (g2^21*t^6.654)/g1^15 + t^6.77/(g1^24*g2^24) + g1^34*g2^10*t^6.794 + g1^22*g2^22*t^6.794 + g1^10*g2^34*t^6.794 + 2*g1^26*g2^2*t^7.051 + 2*g1^14*g2^14*t^7.051 + 2*g1^2*g2^26*t^7.051 + (2*g1^18*t^7.308)/g2^6 + g1^6*g2^6*t^7.308 + (2*g2^18*t^7.308)/g1^6 + g1^31*g2^19*t^7.448 + g1^19*g2^31*t^7.448 + (g1^10*t^7.564)/g2^14 - t^7.564/(g1^2*g2^2) + (g2^10*t^7.564)/g1^14 + (g1^35*t^7.705)/g2 + 2*g1^23*g2^11*t^7.705 + 2*g1^11*g2^23*t^7.705 + (g2^35*t^7.705)/g1 - t^7.821/(g1^10*g2^10) + g1^36*g2^36*t^7.845 + (2*g1^27*t^7.961)/g2^9 + 2*g1^15*g2^3*t^7.961 + 2*g1^3*g2^15*t^7.961 + (2*g2^27*t^7.961)/g1^9 + g1^28*g2^28*t^8.102 - (2*g1^7*t^8.218)/g2^5 - (2*g2^7*t^8.218)/g1^5 + (g1^44*t^8.358)/g2^4 + 2*g1^32*g2^8*t^8.358 + 4*g1^20*g2^20*t^8.358 + 2*g1^8*g2^32*t^8.358 + (g2^44*t^8.358)/g1^4 - t^8.475/(g1*g2^13) - t^8.475/(g1^13*g2) + g1^24*t^8.615 + (g1^36*t^8.615)/g2^12 + g1^12*g2^12*t^8.615 + g2^24*t^8.615 + (g2^36*t^8.615)/g1^12 + g1^37*g2^25*t^8.756 + g1^25*g2^37*t^8.756 + (g1^28*t^8.872)/g2^20 - 2*g1^4*g2^4*t^8.872 + (g2^28*t^8.872)/g1^20 - t^4.564/(g1^2*g2^2*y) + (g1^2*g2^2*t^7.436)/y + (g1^19*g2^7*t^7.833)/y + (g1^7*g2^19*t^7.833)/y + (g1^11*t^8.09)/(g2*y) + (g2^11*t^8.09)/(g1*y) + (g1^3*t^8.346)/(g2^9*y) + (g2^3*t^8.346)/(g1^9*y) + (g1^16*g2^16*t^8.487)/y + t^8.603/(g1^5*g2^17*y) + t^8.603/(g1^17*g2^5*y) + (g1^20*t^8.743)/(g2^4*y) + (3*g1^8*g2^8*t^8.743)/y + (g2^20*t^8.743)/(g1^4*y) - (t^4.564*y)/(g1^2*g2^2) + g1^2*g2^2*t^7.436*y + g1^19*g2^7*t^7.833*y + g1^7*g2^19*t^7.833*y + (g1^11*t^8.09*y)/g2 + (g2^11*t^8.09*y)/g1 + (g1^3*t^8.346*y)/g2^9 + (g2^3*t^8.346*y)/g1^9 + g1^16*g2^16*t^8.487*y + (t^8.603*y)/(g1^5*g2^17) + (t^8.603*y)/(g1^17*g2^5) + (g1^20*t^8.743*y)/g2^4 + 3*g1^8*g2^8*t^8.743*y + (g2^20*t^8.743*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 351 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.192 + t^2.243 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.497 + t^3.548 + t^3.757 + t^4.124 + t^4.175 + t^4.226 + 3*t^4.384 + 2*t^4.435 + t^4.486 + 2*t^4.802 + t^4.853 + 2*t^5.062 + t^5.113 + t^5.219 + 2*t^5.322 + t^5.373 + t^5.48 + t^5.582 + 2*t^5.689 + 4*t^5.74 + t^5.791 + t^5.949 - t^6. - t^4.565/y - t^4.565*y | detail | |
| 1742 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6135 | 0.7901 | 0.7764 | [M:[0.9652, 1.1043, 0.8957, 0.7952], q:[0.7413, 0.2934], qb:[0.4635, 0.4322], phi:[0.5174]] | t^2.177 + t^2.271 + t^2.386 + t^2.687 + t^2.896 + t^3.104 + t^3.313 + t^3.521 + t^3.729 + t^3.823 + t^4.145 + t^4.239 + t^4.333 + t^4.354 + t^4.448 + t^4.542 + t^4.562 + t^4.656 + t^4.771 + t^4.864 + t^4.958 + 2*t^5.073 + t^5.167 + 2*t^5.281 + t^5.374 + t^5.375 + t^5.49 + t^5.583 + 2*t^5.698 + 2*t^5.791 + t^5.906 - t^4.552/y - t^4.552*y | detail | |
| 1743 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5949 | 0.7584 | 0.7845 | [M:[0.9671, 1.0987, 0.9013], q:[0.7418, 0.2911], qb:[0.4836, 0.4178], phi:[0.5164]] | t^2.127 + t^2.324 + t^2.704 + t^2.901 + t^3.099 + t^3.296 + t^3.479 + 2*t^3.676 + t^3.873 + t^4.056 + 2*t^4.253 + 2*t^4.451 + t^4.648 + t^4.831 + 2*t^5.028 + 2*t^5.225 + t^5.408 + t^5.423 + 2*t^5.605 + 3*t^5.803 + t^6. - t^4.549/y - t^4.549*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 |
|---|---|---|---|---|---|---|---|---|---|
| 131 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5887 | 0.7456 | 0.7895 | [M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | 2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. - t^4.532/y - t^4.532*y | detail |