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 |
|---|---|---|---|---|---|---|---|---|---|
| 4190 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.7195 | 0.9138 | 0.7873 | [M:[1.0415, 1.1094, 0.966, 0.8906, 0.7396, 0.9585, 0.7396, 0.6717], q:[0.7774, 0.4075], qb:[0.5509, 0.483], phi:[0.4453]] | [M:[[32], [-12], [22], [12], [-8], [-32], [-8], [36]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$ | ${}$ | -3 | t^2.015 + 2*t^2.219 + 2*t^2.672 + t^2.875 + t^2.898 + t^3.555 + t^4.008 + t^4.03 + t^4.211 + 3*t^4.234 + 4*t^4.438 + t^4.641 + 2*t^4.687 + 5*t^4.891 + t^4.913 + 2*t^5.094 + 2*t^5.117 + 3*t^5.343 + 2*t^5.547 + 2*t^5.57 + t^5.751 + 2*t^5.774 - 3*t^6. + t^6.023 + t^6.045 - t^6.204 + 3*t^6.226 + 3*t^6.249 + 2*t^6.43 + 6*t^6.453 + 5*t^6.657 + t^6.679 + 2*t^6.702 + 2*t^6.86 + t^6.883 + 7*t^6.906 + t^6.928 + t^7.087 + 9*t^7.109 + 2*t^7.132 + 5*t^7.313 + t^7.336 + 3*t^7.359 + t^7.517 - t^7.54 + 6*t^7.562 + 2*t^7.585 + 3*t^7.766 + 4*t^7.789 + t^7.97 + 2*t^7.992 + t^8.015 + t^8.038 + t^8.061 - 6*t^8.219 + 5*t^8.242 + 3*t^8.264 - t^8.423 + 4*t^8.445 + 6*t^8.468 + t^8.626 + 3*t^8.649 + 2*t^8.672 + 2*t^8.694 + 2*t^8.717 + t^8.853 + 2*t^8.875 + 7*t^8.921 + t^8.944 - t^4.336/y - t^6.351/y - (2*t^6.555)/y - t^7.008/y + t^7.234/y + (2*t^7.438)/y + t^7.664/y + (2*t^7.687)/y + (5*t^7.891)/y + t^7.913/y + (2*t^8.094)/y + (4*t^8.117)/y + t^8.321/y + t^8.343/y - t^8.366/y + (2*t^8.547)/y + t^8.57/y - t^4.336*y - t^6.351*y - 2*t^6.555*y - t^7.008*y + t^7.234*y + 2*t^7.438*y + t^7.664*y + 2*t^7.687*y + 5*t^7.891*y + t^7.913*y + 2*t^8.094*y + 4*t^8.117*y + t^8.321*y + t^8.343*y - t^8.366*y + 2*t^8.547*y + t^8.57*y | g1^36*t^2.015 + (2*t^2.219)/g1^8 + 2*g1^12*t^2.672 + t^2.875/g1^32 + g1^22*t^2.898 + t^3.555/g1^2 + g1^18*t^4.008 + g1^72*t^4.03 + t^4.211/g1^26 + 3*g1^28*t^4.234 + (4*t^4.438)/g1^16 + t^4.641/g1^60 + 2*g1^48*t^4.687 + 5*g1^4*t^4.891 + g1^58*t^4.913 + (2*t^5.094)/g1^40 + 2*g1^14*t^5.117 + 3*g1^24*t^5.343 + (2*t^5.547)/g1^20 + 2*g1^34*t^5.57 + t^5.751/g1^64 + (2*t^5.774)/g1^10 - 3*t^6. + g1^54*t^6.023 + g1^108*t^6.045 - t^6.204/g1^44 + 3*g1^10*t^6.226 + 3*g1^64*t^6.249 + (2*t^6.43)/g1^34 + 6*g1^20*t^6.453 + (5*t^6.657)/g1^24 + g1^30*t^6.679 + 2*g1^84*t^6.702 + (2*t^6.86)/g1^68 + t^6.883/g1^14 + 7*g1^40*t^6.906 + g1^94*t^6.928 + t^7.087/g1^58 + (9*t^7.109)/g1^4 + 2*g1^50*t^7.132 + (5*t^7.313)/g1^48 + g1^6*t^7.336 + 3*g1^60*t^7.359 + t^7.517/g1^92 - t^7.54/g1^38 + 6*g1^16*t^7.562 + 2*g1^70*t^7.585 + (3*t^7.766)/g1^28 + 4*g1^26*t^7.789 + t^7.97/g1^72 + (2*t^7.992)/g1^18 + g1^36*t^8.015 + g1^90*t^8.038 + g1^144*t^8.061 - (6*t^8.219)/g1^8 + 5*g1^46*t^8.242 + 3*g1^100*t^8.264 - t^8.423/g1^52 + 4*g1^2*t^8.445 + 6*g1^56*t^8.468 + t^8.626/g1^96 + (3*t^8.649)/g1^42 + 2*g1^12*t^8.672 + 2*g1^66*t^8.694 + 2*g1^120*t^8.717 + t^8.853/g1^86 + (2*t^8.875)/g1^32 + 7*g1^76*t^8.921 + g1^130*t^8.944 - (g1^6*t^4.336)/y - (g1^42*t^6.351)/y - (2*t^6.555)/(g1^2*y) - (g1^18*t^7.008)/y + (g1^28*t^7.234)/y + (2*t^7.438)/(g1^16*y) + t^7.664/(g1^6*y) + (2*g1^48*t^7.687)/y + (5*g1^4*t^7.891)/y + (g1^58*t^7.913)/y + (2*t^8.094)/(g1^40*y) + (4*g1^14*t^8.117)/y + t^8.321/(g1^30*y) + (g1^24*t^8.343)/y - (g1^78*t^8.366)/y + (2*t^8.547)/(g1^20*y) + (g1^34*t^8.57)/y - g1^6*t^4.336*y - g1^42*t^6.351*y - (2*t^6.555*y)/g1^2 - g1^18*t^7.008*y + g1^28*t^7.234*y + (2*t^7.438*y)/g1^16 + (t^7.664*y)/g1^6 + 2*g1^48*t^7.687*y + 5*g1^4*t^7.891*y + g1^58*t^7.913*y + (2*t^8.094*y)/g1^40 + 4*g1^14*t^8.117*y + (t^8.321*y)/g1^30 + g1^24*t^8.343*y - g1^78*t^8.366*y + (2*t^8.547*y)/g1^20 + g1^34*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 5693 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{9}q_{1}q_{2}$ | 0.7351 | 0.941 | 0.7812 | [M:[1.04, 1.11, 0.965, 0.89, 0.74, 0.96, 0.74, 0.67, 0.815], q:[0.7775, 0.4075], qb:[0.5525, 0.4825], phi:[0.445]] | t^2.01 + 2*t^2.22 + t^2.445 + 2*t^2.67 + t^2.88 + t^2.895 + t^4.005 + t^4.02 + t^4.215 + 3*t^4.23 + 4*t^4.44 + t^4.455 + t^4.65 + 2*t^4.665 + 2*t^4.68 + 6*t^4.89 + t^4.905 + 2*t^5.1 + 4*t^5.115 + t^5.325 + 4*t^5.34 + 2*t^5.55 + t^5.565 + t^5.76 - 3*t^6. - t^4.335/y - t^4.335*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2194 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6987 | 0.8726 | 0.8007 | [M:[1.0431, 1.1088, 0.9671, 0.8912, 0.7392, 0.9569, 0.7392], q:[0.7772, 0.4076], qb:[0.5493, 0.4836], phi:[0.4456]] | 2*t^2.218 + 2*t^2.673 + t^2.871 + t^2.901 + t^3.554 + t^3.98 + t^4.01 + t^4.207 + t^4.238 + 4*t^4.435 + t^4.633 + 4*t^4.891 + 2*t^5.088 + 2*t^5.119 + 3*t^5.347 + 2*t^5.544 + t^5.575 + t^5.741 + 2*t^5.772 - 3*t^6. - t^4.337/y - t^4.337*y | detail |