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 |
|---|---|---|---|---|---|---|---|---|---|
| 46824 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7001 | 0.8624 | 0.8118 | [M:[0.6791, 0.7225, 1.0217, 0.9783, 0.9783, 1.1496], q:[0.7874, 0.5335], qb:[0.4901, 0.4882], phi:[0.4252]] | [M:[[1, 15], [-1, 1], [-1, -7], [1, 7], [1, 7], [0, -4]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$ | ${}$ | -3 | t^2.037 + t^2.167 + 2*t^2.935 + t^3.071 + t^3.449 + t^3.827 + t^4.075 + 2*t^4.205 + t^4.211 + t^4.216 + t^4.335 + t^4.341 + t^4.346 + t^4.476 + 2*t^4.972 + 2*t^5.102 + t^5.108 + t^5.238 + t^5.486 + t^5.616 + 2*t^5.87 - 3*t^6. + t^6.006 + t^6.112 - t^6.13 - t^6.136 + t^6.141 + 2*t^6.242 + t^6.248 + t^6.254 + 2*t^6.372 + t^6.378 + 3*t^6.384 + t^6.502 + t^6.508 + t^6.514 + t^6.52 + t^6.644 + t^6.762 - t^6.892 + 2*t^7.01 + 3*t^7.14 + 2*t^7.146 + 2*t^7.151 + t^7.27 + 2*t^7.276 + t^7.281 + t^7.287 + t^7.411 + t^7.417 + t^7.524 + t^7.547 + 2*t^7.654 + t^7.784 + 2*t^7.907 - t^8.037 + t^8.043 + t^8.15 - 4*t^8.167 - t^8.173 + 2*t^8.28 + t^8.285 + t^8.291 - t^8.298 - t^8.303 + 3*t^8.41 + 2*t^8.415 + 4*t^8.421 + t^8.427 + t^8.432 + 2*t^8.54 + 2*t^8.546 + 3*t^8.551 + t^8.557 + t^8.563 + t^8.67 + t^8.676 + 2*t^8.681 + t^8.687 + t^8.693 + 2*t^8.805 + t^8.811 + t^8.817 + t^8.823 - t^8.929 - 6*t^8.935 + t^8.953 - t^4.276/y - t^6.313/y - t^6.443/y + t^7.205/y - t^7.211/y + t^7.341/y + (2*t^7.972)/y + (2*t^8.102)/y + (2*t^8.108)/y + (2*t^8.238)/y - t^8.35/y - t^8.48/y + t^8.486/y - t^8.611/y + t^8.616/y + t^8.864/y + t^8.87/y + t^8.994/y - t^4.276*y - t^6.313*y - t^6.443*y + t^7.205*y - t^7.211*y + t^7.341*y + 2*t^7.972*y + 2*t^8.102*y + 2*t^8.108*y + 2*t^8.238*y - t^8.35*y - t^8.48*y + t^8.486*y - t^8.611*y + t^8.616*y + t^8.864*y + t^8.87*y + t^8.994*y | g1*g2^15*t^2.037 + (g2*t^2.167)/g1 + 2*g1*g2^7*t^2.935 + t^3.071/g2^14 + t^3.449/g2^4 + g2^6*t^3.827 + g1^2*g2^30*t^4.075 + 2*g2^16*t^4.205 + g1*g2^9*t^4.211 + g1^2*g2^2*t^4.216 + (g2^2*t^4.335)/g1^2 + t^4.341/(g1*g2^5) + t^4.346/g2^12 + t^4.476/(g1^2*g2^26) + 2*g1^2*g2^22*t^4.972 + 2*g2^8*t^5.102 + g1*g2*t^5.108 + t^5.238/(g1*g2^13) + g1*g2^11*t^5.486 + t^5.616/(g1*g2^3) + 2*g1^2*g2^14*t^5.87 - 3*t^6. + (g1*t^6.006)/g2^7 + g1^3*g2^45*t^6.112 - t^6.13/(g1^2*g2^14) - t^6.136/(g1*g2^21) + t^6.141/g2^28 + 2*g1*g2^31*t^6.242 + g1^2*g2^24*t^6.248 + g1^3*g2^17*t^6.254 + (2*g2^17*t^6.372)/g1 + g2^10*t^6.378 + 3*g1*g2^3*t^6.384 + (g2^3*t^6.502)/g1^3 + t^6.508/(g1^2*g2^4) + t^6.514/(g1*g2^11) + t^6.52/g2^18 + t^6.644/(g1^3*g2^25) + g1*g2^13*t^6.762 - t^6.892/(g1*g2) + 2*g1^3*g2^37*t^7.01 + 3*g1*g2^23*t^7.14 + 2*g1^2*g2^16*t^7.146 + 2*g1^3*g2^9*t^7.151 + (g2^9*t^7.27)/g1 + 2*g2^2*t^7.276 + (g1*t^7.281)/g2^5 + (g1^2*t^7.287)/g2^12 + t^7.411/(g1*g2^19) + t^7.417/g2^26 + g1^2*g2^26*t^7.524 + t^7.547/(g1^2*g2^40) + 2*g2^12*t^7.654 + t^7.784/(g1^2*g2^2) + 2*g1^3*g2^29*t^7.907 - g1*g2^15*t^8.037 + g1^2*g2^8*t^8.043 + g1^4*g2^60*t^8.15 - (4*g2*t^8.167)/g1 - t^8.173/g2^6 + 2*g1^2*g2^46*t^8.28 + g1^3*g2^39*t^8.285 + g1^4*g2^32*t^8.291 - t^8.298/(g1^3*g2^13) - t^8.303/(g1^2*g2^20) + 3*g2^32*t^8.41 + 2*g1*g2^25*t^8.415 + 4*g1^2*g2^18*t^8.421 + g1^3*g2^11*t^8.427 + g1^4*g2^4*t^8.432 + (2*g2^18*t^8.54)/g1^2 + (2*g2^11*t^8.546)/g1 + 3*g2^4*t^8.551 + (g1*t^8.557)/g2^3 + (g1^2*t^8.563)/g2^10 + (g2^4*t^8.67)/g1^4 + t^8.676/(g1^3*g2^3) + (2*t^8.681)/(g1^2*g2^10) + t^8.687/(g1*g2^17) + t^8.693/g2^24 + 2*g1^3*g2^21*t^8.805 + t^8.811/(g1^4*g2^24) + t^8.817/(g1^3*g2^31) + t^8.823/(g1^2*g2^38) - g2^14*t^8.929 - 6*g1*g2^7*t^8.935 + t^8.953/(g1^4*g2^52) - (g2^2*t^4.276)/y - (g1*g2^17*t^6.313)/y - (g2^3*t^6.443)/(g1*y) + (g2^16*t^7.205)/y - (g1*g2^9*t^7.211)/y + t^7.341/(g1*g2^5*y) + (2*g1^2*g2^22*t^7.972)/y + (2*g2^8*t^8.102)/y + (2*g1*g2*t^8.108)/y + (2*t^8.238)/(g1*g2^13*y) - (g1^2*g2^32*t^8.35)/y - (g2^18*t^8.48)/y + (g1*g2^11*t^8.486)/y - (g2^4*t^8.611)/(g1^2*y) + t^8.616/(g1*g2^3*y) + (g1*g2^21*t^8.864)/y + (g1^2*g2^14*t^8.87)/y + (g2^7*t^8.994)/(g1*y) - g2^2*t^4.276*y - g1*g2^17*t^6.313*y - (g2^3*t^6.443*y)/g1 + g2^16*t^7.205*y - g1*g2^9*t^7.211*y + (t^7.341*y)/(g1*g2^5) + 2*g1^2*g2^22*t^7.972*y + 2*g2^8*t^8.102*y + 2*g1*g2*t^8.108*y + (2*t^8.238*y)/(g1*g2^13) - g1^2*g2^32*t^8.35*y - g2^18*t^8.48*y + g1*g2^11*t^8.486*y - (g2^4*t^8.611*y)/g1^2 + (t^8.616*y)/(g1*g2^3) + g1*g2^21*t^8.864*y + g1^2*g2^14*t^8.87*y + (g2^7*t^8.994*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55289 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.6803 | 0.8266 | 0.823 | [M:[0.6781, 0.7376, 1.0298, 0.9702, 0.9702, 1.1461, 1.2624], q:[0.7865, 0.5354], qb:[0.4759, 0.4944], phi:[0.427]] | t^2.034 + 2*t^2.911 + t^3.034 + t^3.438 + t^3.787 + t^3.843 + t^4.069 + t^4.136 + t^4.192 + t^4.247 + t^4.315 + t^4.37 + t^4.493 + 2*t^4.945 + t^5.068 + t^5.473 + 3*t^5.821 + t^5.944 - 3*t^6. - t^4.281/y - t^4.281*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46675 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7133 | 0.8853 | 0.8057 | [M:[0.6716, 0.7152, 1.0218, 0.9782, 0.9782], q:[0.7883, 0.5401], qb:[0.4965, 0.4817], phi:[0.4234]] | t^2.015 + t^2.146 + t^2.54 + 2*t^2.935 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.205 + t^4.249 + t^4.291 + t^4.335 + t^4.38 + t^4.51 + t^4.555 + t^4.686 + 2*t^4.95 + 3*t^5.08 + t^5.125 + t^5.255 + 2*t^5.475 + t^5.65 + 2*t^5.869 - 3*t^6. - t^4.27/y - t^4.27*y | detail |