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 |
---|---|---|---|---|---|---|---|---|---|
1256 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ | 0.5764 | 0.7192 | 0.8014 | [M:[0.6935, 0.6935, 1.0613, 0.9387, 1.3065, 1.0613], q:[0.9798, 0.6121], qb:[0.3266, 0.4492], phi:[0.4081]] | [M:[[-20], [-20], [4], [-4], [20], [4]], q:[[15], [-9]], qb:[[5], [13]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.081 + t^2.327 + t^2.448 + 3*t^3.184 + t^3.552 + t^3.919 + t^4.161 + t^4.287 + t^4.408 + t^4.529 + t^4.655 + 2*t^4.776 + t^4.897 + 2*t^5.264 + 3*t^5.511 + 2*t^5.632 + t^5.879 - t^6. + t^6.242 + t^6.247 + 5*t^6.368 + t^6.61 + t^6.615 + 2*t^6.736 + t^6.977 + t^6.982 + 3*t^7.103 + 3*t^7.345 + 2*t^7.471 - t^7.592 + t^7.713 + 4*t^7.839 + 2*t^7.96 + 2*t^8.207 + t^8.322 - 2*t^8.327 + t^8.448 + 2*t^8.574 + t^8.69 + 4*t^8.695 + t^8.942 - t^4.224/y - t^6.305/y - t^6.673/y + t^7.04/y + t^7.529/y + (2*t^7.776)/y + t^8.144/y + (3*t^8.264)/y - t^8.385/y + (3*t^8.511)/y + (4*t^8.632)/y - t^8.753/y + t^8.879/y - t^4.224*y - t^6.305*y - t^6.673*y + t^7.04*y + t^7.529*y + 2*t^7.776*y + t^8.144*y + 3*t^8.264*y - t^8.385*y + 3*t^8.511*y + 4*t^8.632*y - t^8.753*y + t^8.879*y | t^2.081/g1^20 + g1^18*t^2.327 + t^2.448/g1^12 + 3*g1^4*t^3.184 + g1^12*t^3.552 + g1^20*t^3.919 + t^4.161/g1^40 + g1^28*t^4.287 + t^4.408/g1^2 + t^4.529/g1^32 + g1^36*t^4.655 + 2*g1^6*t^4.776 + t^4.897/g1^24 + (2*t^5.264)/g1^16 + 3*g1^22*t^5.511 + (2*t^5.632)/g1^8 + g1^30*t^5.879 - t^6. + t^6.242/g1^60 + g1^38*t^6.247 + 5*g1^8*t^6.368 + t^6.61/g1^52 + g1^46*t^6.615 + 2*g1^16*t^6.736 + t^6.977/g1^44 + g1^54*t^6.982 + 3*g1^24*t^7.103 + (3*t^7.345)/g1^36 + 2*g1^32*t^7.471 - g1^2*t^7.592 + t^7.713/g1^28 + 4*g1^40*t^7.839 + 2*g1^10*t^7.96 + 2*g1^48*t^8.207 + t^8.322/g1^80 - 2*g1^18*t^8.327 + t^8.448/g1^12 + 2*g1^56*t^8.574 + t^8.69/g1^72 + 4*g1^26*t^8.695 + g1^64*t^8.942 - t^4.224/(g1^6*y) - t^6.305/(g1^26*y) - t^6.673/(g1^18*y) + t^7.04/(g1^10*y) + t^7.529/(g1^32*y) + (2*g1^6*t^7.776)/y + (g1^14*t^8.144)/y + (3*t^8.264)/(g1^16*y) - t^8.385/(g1^46*y) + (3*g1^22*t^8.511)/y + (4*t^8.632)/(g1^8*y) - t^8.753/(g1^38*y) + (g1^30*t^8.879)/y - (t^4.224*y)/g1^6 - (t^6.305*y)/g1^26 - (t^6.673*y)/g1^18 + (t^7.04*y)/g1^10 + (t^7.529*y)/g1^32 + 2*g1^6*t^7.776*y + g1^14*t^8.144*y + (3*t^8.264*y)/g1^16 - (t^8.385*y)/g1^46 + 3*g1^22*t^8.511*y + (4*t^8.632*y)/g1^8 - (t^8.753*y)/g1^38 + g1^30*t^8.879*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 |
---|---|---|---|---|---|---|---|---|
2291 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ | 0.5971 | 0.7592 | 0.7865 | [M:[0.6878, 0.6878, 1.0624, 0.9376, 1.3122, 1.0624, 0.6878], q:[0.9841, 0.6095], qb:[0.328, 0.4529], phi:[0.4063]] | 2*t^2.063 + t^2.343 + t^2.438 + 3*t^3.187 + t^3.562 + 3*t^4.127 + t^4.311 + 2*t^4.406 + 2*t^4.502 + t^4.686 + 2*t^4.781 + t^4.876 + 5*t^5.251 + 3*t^5.53 + 3*t^5.625 + t^5.905 - 2*t^6. - t^4.219/y - t^4.219*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 |
---|---|---|---|---|---|---|---|---|---|
772 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ | 0.5822 | 0.7285 | 0.7991 | [M:[0.6846, 0.6846, 1.0631, 0.9369, 1.3154], q:[0.9866, 0.608], qb:[0.3289, 0.455], phi:[0.4054]] | t^2.054 + t^2.352 + t^2.432 + t^2.811 + 2*t^3.189 + t^3.568 + t^3.946 + t^4.107 + t^4.325 + t^4.405 + t^4.486 + t^4.703 + 2*t^4.784 + 2*t^4.864 + t^5.162 + 2*t^5.243 + 2*t^5.541 + 2*t^5.621 + t^5.92 + t^6. - t^4.216/y - t^4.216*y | detail |