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 |
|---|---|---|---|---|---|---|---|---|---|
| 1629 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7193 | 0.9125 | 0.7883 | [M:[1.0, 1.117, 0.9737, 0.6754, 0.883, 0.7661, 0.7017], q:[0.7792, 0.4284], qb:[0.5716, 0.4547], phi:[0.4415]] | [M:[[0], [4], [-18], [6], [-4], [-8], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}q_{1}q_{2}$ | ${}$ | -2 | t^2.026 + t^2.105 + t^2.298 + 2*t^2.649 + t^2.921 + t^3. + t^3.623 + 3*t^4.053 + t^4.131 + t^4.21 + 2*t^4.325 + 2*t^4.403 + t^4.597 + 2*t^4.675 + 3*t^4.754 + 3*t^4.947 + 2*t^5.026 + t^5.105 + t^5.219 + 4*t^5.298 + t^5.57 + 2*t^5.649 + t^5.728 + t^5.842 + t^5.921 - 2*t^6. + 2*t^6.079 + 3*t^6.158 + t^6.237 + t^6.272 + t^6.315 + 2*t^6.351 + 2*t^6.43 + 2*t^6.509 + t^6.544 + 2*t^6.623 + 6*t^6.702 + 3*t^6.781 + 3*t^6.859 + 4*t^6.974 + 7*t^7.053 + 2*t^7.131 + t^7.21 + 3*t^7.246 + 4*t^7.325 + 4*t^7.403 + t^7.518 + 4*t^7.597 + 3*t^7.675 + t^7.754 + t^7.833 + 2*t^7.869 + 6*t^7.947 - 2*t^8.026 + t^8.105 + t^8.141 + 2*t^8.184 + 2*t^8.219 + 3*t^8.263 - 2*t^8.298 + t^8.342 + 2*t^8.377 + t^8.421 + 3*t^8.456 + t^8.491 + 2*t^8.535 + t^8.57 + 2*t^8.614 - 2*t^8.649 + 3*t^8.728 + t^8.763 + 9*t^8.807 + t^8.842 + 3*t^8.886 + 3*t^8.965 - t^4.325/y - t^6.351/y - t^6.43/y - t^6.623/y - t^6.974/y + t^7.131/y - t^7.246/y + t^7.325/y + (2*t^7.403)/y + (3*t^7.675)/y + (2*t^7.754)/y + (3*t^7.947)/y + (3*t^8.026)/y + t^8.105/y + (2*t^8.219)/y + (3*t^8.298)/y - t^8.377/y - t^8.456/y - t^8.535/y + (2*t^8.57)/y + (2*t^8.649)/y + t^8.921/y - t^4.325*y - t^6.351*y - t^6.43*y - t^6.623*y - t^6.974*y + t^7.131*y - t^7.246*y + t^7.325*y + 2*t^7.403*y + 3*t^7.675*y + 2*t^7.754*y + 3*t^7.947*y + 3*t^8.026*y + t^8.105*y + 2*t^8.219*y + 3*t^8.298*y - t^8.377*y - t^8.456*y - t^8.535*y + 2*t^8.57*y + 2*t^8.649*y + t^8.921*y | g1^6*t^2.026 + g1^24*t^2.105 + t^2.298/g1^8 + (2*t^2.649)/g1^4 + t^2.921/g1^18 + t^3. + t^3.623/g1^10 + 3*g1^12*t^4.053 + g1^30*t^4.131 + g1^48*t^4.21 + (2*t^4.325)/g1^2 + 2*g1^16*t^4.403 + t^4.597/g1^16 + 2*g1^2*t^4.675 + 3*g1^20*t^4.754 + (3*t^4.947)/g1^12 + 2*g1^6*t^5.026 + g1^24*t^5.105 + t^5.219/g1^26 + (4*t^5.298)/g1^8 + t^5.57/g1^22 + (2*t^5.649)/g1^4 + g1^14*t^5.728 + t^5.842/g1^36 + t^5.921/g1^18 - 2*t^6. + 2*g1^18*t^6.079 + 3*g1^36*t^6.158 + g1^54*t^6.237 + t^6.272/g1^14 + g1^72*t^6.315 + 2*g1^4*t^6.351 + 2*g1^22*t^6.43 + 2*g1^40*t^6.509 + t^6.544/g1^28 + (2*t^6.623)/g1^10 + 6*g1^8*t^6.702 + 3*g1^26*t^6.781 + 3*g1^44*t^6.859 + (4*t^6.974)/g1^6 + 7*g1^12*t^7.053 + 2*g1^30*t^7.131 + g1^48*t^7.21 + (3*t^7.246)/g1^20 + (4*t^7.325)/g1^2 + 4*g1^16*t^7.403 + t^7.518/g1^34 + (4*t^7.597)/g1^16 + 3*g1^2*t^7.675 + g1^20*t^7.754 + g1^38*t^7.833 + (2*t^7.869)/g1^30 + (6*t^7.947)/g1^12 - 2*g1^6*t^8.026 + g1^24*t^8.105 + t^8.141/g1^44 + 2*g1^42*t^8.184 + (2*t^8.219)/g1^26 + 3*g1^60*t^8.263 - (2*t^8.298)/g1^8 + g1^78*t^8.342 + 2*g1^10*t^8.377 + g1^96*t^8.421 + 3*g1^28*t^8.456 + t^8.491/g1^40 + 2*g1^46*t^8.535 + t^8.57/g1^22 + 2*g1^64*t^8.614 - (2*t^8.649)/g1^4 + 3*g1^14*t^8.728 + t^8.763/g1^54 + 9*g1^32*t^8.807 + t^8.842/g1^36 + 3*g1^50*t^8.886 + 3*g1^68*t^8.965 - t^4.325/(g1^2*y) - (g1^4*t^6.351)/y - (g1^22*t^6.43)/y - t^6.623/(g1^10*y) - t^6.974/(g1^6*y) + (g1^30*t^7.131)/y - t^7.246/(g1^20*y) + t^7.325/(g1^2*y) + (2*g1^16*t^7.403)/y + (3*g1^2*t^7.675)/y + (2*g1^20*t^7.754)/y + (3*t^7.947)/(g1^12*y) + (3*g1^6*t^8.026)/y + (g1^24*t^8.105)/y + (2*t^8.219)/(g1^26*y) + (3*t^8.298)/(g1^8*y) - (g1^10*t^8.377)/y - (g1^28*t^8.456)/y - (g1^46*t^8.535)/y + (2*t^8.57)/(g1^22*y) + (2*t^8.649)/(g1^4*y) + t^8.921/(g1^18*y) - (t^4.325*y)/g1^2 - g1^4*t^6.351*y - g1^22*t^6.43*y - (t^6.623*y)/g1^10 - (t^6.974*y)/g1^6 + g1^30*t^7.131*y - (t^7.246*y)/g1^20 + (t^7.325*y)/g1^2 + 2*g1^16*t^7.403*y + 3*g1^2*t^7.675*y + 2*g1^20*t^7.754*y + (3*t^7.947*y)/g1^12 + 3*g1^6*t^8.026*y + g1^24*t^8.105*y + (2*t^8.219*y)/g1^26 + (3*t^8.298*y)/g1^8 - g1^10*t^8.377*y - g1^28*t^8.456*y - g1^46*t^8.535*y + (2*t^8.57*y)/g1^22 + (2*t^8.649*y)/g1^4 + (t^8.921*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4020 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7019 | 0.8894 | 0.7892 | [M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.7143, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | 2*t^2.143 + 4*t^2.571 + t^3. + t^3.429 + 6*t^4.286 + 9*t^4.714 + 12*t^5.143 + 4*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 963/1372, c: 4881/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 5/7, M7: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1046 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.699 | 0.874 | 0.7998 | [M:[1.0, 1.1201, 0.9596, 0.6801, 0.8799, 0.7598], q:[0.78, 0.4198], qb:[0.5802, 0.4601], phi:[0.44]] | t^2.04 + t^2.28 + 2*t^2.64 + t^2.879 + t^3. + t^3.599 + t^3.839 + 3*t^4.081 + 2*t^4.32 + t^4.441 + t^4.559 + 2*t^4.68 + t^4.801 + 3*t^4.919 + t^5.04 + t^5.158 + 4*t^5.28 + t^5.519 + 2*t^5.64 + t^5.758 + 2*t^5.879 - 2*t^6. - t^4.32/y - t^4.32*y | detail |