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 |
|---|---|---|---|---|---|---|---|---|---|
| 440 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | [M:[[0], [-14], [0], [16]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$ | ${}M_{1}M_{3}$ | -2 | t^2.016 + t^2.496 + t^2.736 + 2*t^3. + t^3.744 + 2*t^4.008 + t^4.032 + 2*t^4.248 + 4*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + t^5.472 + 2*t^5.496 + t^5.76 - 2*t^6. + 2*t^6.024 + t^6.048 + t^6.48 + 4*t^6.528 + 4*t^6.744 + t^6.768 + 6*t^7.008 + 2*t^7.032 + 3*t^7.248 + 2*t^7.488 + 4*t^7.512 + t^7.728 + t^7.776 + t^7.968 + 2*t^7.992 - 2*t^8.016 + 2*t^8.04 + t^8.064 + t^8.208 + 3*t^8.256 - 2*t^8.496 + 4*t^8.52 + 4*t^8.544 - 3*t^8.736 + 4*t^8.76 + t^8.784 - t^4.248/y - t^6.264/y - t^6.744/y - t^6.984/y + (2*t^7.512)/y + (2*t^7.752)/y + (2*t^8.016)/y + (2*t^8.232)/y - t^8.28/y + (2*t^8.496)/y + (2*t^8.736)/y - t^4.248*y - t^6.264*y - t^6.744*y - t^6.984*y + 2*t^7.512*y + 2*t^7.752*y + 2*t^8.016*y + 2*t^8.232*y - t^8.28*y + 2*t^8.496*y + 2*t^8.736*y | g1^16*t^2.016 + t^2.496/g1^4 + t^2.736/g1^14 + 2*t^3. + t^3.744/g1^6 + 2*g1^8*t^4.008 + g1^32*t^4.032 + (2*t^4.248)/g1^2 + 4*g1^12*t^4.512 + g1^2*t^4.752 + t^4.992/g1^8 + 2*g1^16*t^5.016 + t^5.232/g1^18 + t^5.472/g1^28 + (2*t^5.496)/g1^4 + g1^10*t^5.76 - 2*t^6. + 2*g1^24*t^6.024 + g1^48*t^6.048 + t^6.48/g1^20 + 4*g1^28*t^6.528 + (4*t^6.744)/g1^6 + g1^18*t^6.768 + 6*g1^8*t^7.008 + 2*g1^32*t^7.032 + (3*t^7.248)/g1^2 + (2*t^7.488)/g1^12 + 4*g1^12*t^7.512 + t^7.728/g1^22 + g1^26*t^7.776 + t^7.968/g1^32 + (2*t^7.992)/g1^8 - 2*g1^16*t^8.016 + 2*g1^40*t^8.04 + g1^64*t^8.064 + t^8.208/g1^42 + 3*g1^6*t^8.256 - (2*t^8.496)/g1^4 + 4*g1^20*t^8.52 + 4*g1^44*t^8.544 - (3*t^8.736)/g1^14 + 4*g1^10*t^8.76 + g1^34*t^8.784 - t^4.248/(g1^2*y) - (g1^14*t^6.264)/y - t^6.744/(g1^6*y) - t^6.984/(g1^16*y) + (2*g1^12*t^7.512)/y + (2*g1^2*t^7.752)/y + (2*g1^16*t^8.016)/y + (2*t^8.232)/(g1^18*y) - (g1^30*t^8.28)/y + (2*t^8.496)/(g1^4*y) + (2*t^8.736)/(g1^14*y) - (t^4.248*y)/g1^2 - g1^14*t^6.264*y - (t^6.744*y)/g1^6 - (t^6.984*y)/g1^16 + 2*g1^12*t^7.512*y + 2*g1^2*t^7.752*y + 2*g1^16*t^8.016*y + (2*t^8.232*y)/g1^18 - g1^30*t^8.28*y + (2*t^8.496*y)/g1^4 + (2*t^8.736*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 735 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.684 | 0.834 | 0.8201 | [M:[1.0, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 4*t^4.2 + 9*t^4.8 + 4*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 171/250, c: 417/500, M1: 1, M2: 4/5, M3: 1, M4: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 271 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - t^4.247/y - t^4.247*y | detail |