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 |
|---|---|---|---|---|---|---|---|---|---|
| 2257 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6146 | 0.7514 | 0.8179 | [M:[0.8102, 0.7761, 1.1898, 0.8273, 1.2068, 0.7591, 1.2239], q:[0.8017, 0.8017], qb:[0.3881, 0.4222], phi:[0.3966]] | [M:[[6], [-14], [-6], [16], [4], [-24], [14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.277 + t^2.431 + t^2.482 + 2*t^3.569 + 2*t^3.62 + 2*t^3.672 + t^4.554 + t^4.708 + t^4.759 + t^4.81 + t^4.861 + t^4.913 + t^4.964 + 2*t^5.847 + t^5.898 - t^6. + 2*t^6.051 + 3*t^6.102 + 2*t^6.153 + t^6.832 + t^6.985 + t^7.036 + t^7.139 + t^7.19 + 4*t^7.241 + 3*t^7.292 + 3*t^7.343 + t^7.394 + t^7.446 + 2*t^8.124 + t^8.175 - t^8.277 + t^8.38 - t^8.431 - t^8.482 + 2*t^8.533 + 3*t^8.584 + 2*t^8.635 - t^4.19/y - t^6.467/y - t^6.672/y + (2*t^7.708)/y + t^7.759/y + (2*t^7.913)/y - t^8.744/y + (2*t^8.847)/y + (2*t^8.898)/y + t^8.949/y - t^4.19*y - t^6.467*y - t^6.672*y + 2*t^7.708*y + t^7.759*y + 2*t^7.913*y - t^8.744*y + 2*t^8.847*y + 2*t^8.898*y + t^8.949*y | t^2.277/g1^24 + g1^6*t^2.431 + g1^16*t^2.482 + (2*t^3.569)/g1^6 + 2*g1^4*t^3.62 + 2*g1^14*t^3.672 + t^4.554/g1^48 + t^4.708/g1^18 + t^4.759/g1^8 + g1^2*t^4.81 + g1^12*t^4.861 + g1^22*t^4.913 + g1^32*t^4.964 + (2*t^5.847)/g1^30 + t^5.898/g1^20 - t^6. + 2*g1^10*t^6.051 + 3*g1^20*t^6.102 + 2*g1^30*t^6.153 + t^6.832/g1^72 + t^6.985/g1^42 + t^7.036/g1^32 + t^7.139/g1^12 + t^7.19/g1^2 + 4*g1^8*t^7.241 + 3*g1^18*t^7.292 + 3*g1^28*t^7.343 + g1^38*t^7.394 + g1^48*t^7.446 + (2*t^8.124)/g1^54 + t^8.175/g1^44 - t^8.277/g1^24 + t^8.38/g1^4 - g1^6*t^8.431 - g1^16*t^8.482 + 2*g1^26*t^8.533 + 3*g1^36*t^8.584 + 2*g1^46*t^8.635 - t^4.19/(g1^2*y) - t^6.467/(g1^26*y) - (g1^14*t^6.672)/y + (2*t^7.708)/(g1^18*y) + t^7.759/(g1^8*y) + (2*g1^22*t^7.913)/y - t^8.744/(g1^50*y) + (2*t^8.847)/(g1^30*y) + (2*t^8.898)/(g1^20*y) + t^8.949/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.467*y)/g1^26 - g1^14*t^6.672*y + (2*t^7.708*y)/g1^18 + (t^7.759*y)/g1^8 + 2*g1^22*t^7.913*y - (t^8.744*y)/g1^50 + (2*t^8.847*y)/g1^30 + (2*t^8.898*y)/g1^20 + (t^8.949*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4256 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ | 0.5578 | 0.6776 | 0.8232 | [X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.1667, 1.0, 1.0833], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]] | t^2.25 + t^3. + 2*t^3.25 + 2*t^3.5 + 2*t^3.75 + t^4. + t^4.5 + t^4.75 + t^5.25 + t^5.5 - t^4.25/y - t^4.25*y | detail | {a: 3427/6144, c: 4163/6144, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 7/6, M6: 1, M7: 13/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1217 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6327 | 0.784 | 0.807 | [M:[0.8155, 0.7639, 1.1845, 0.8412, 1.2103, 0.7382], q:[0.8026, 0.8026], qb:[0.382, 0.4335], phi:[0.3948]] | t^2.215 + t^2.292 + t^2.446 + t^2.524 + 2*t^3.554 + 2*t^3.631 + t^3.708 + t^4.429 + t^4.506 + t^4.584 + t^4.661 + 2*t^4.738 + 2*t^4.815 + t^4.893 + t^4.97 + t^5.047 + 2*t^5.768 + 3*t^5.845 + t^5.923 - t^4.185/y - t^4.185*y | detail |