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 |
|---|---|---|---|---|---|---|---|---|---|
| 56973 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.689 | 0.8742 | 0.7881 | [M:[0.919, 1.1352, 1.0991, 0.8648, 0.8829, 0.7028, 0.6847], q:[0.5224, 0.5586], qb:[0.3424, 0.7748], phi:[0.4505]] | [M:[[-10], [-8], [4], [8], [2], [-12], [-6]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{5}$ | ${}$ | -1 | t^2.054 + t^2.108 + t^2.594 + t^2.649 + t^2.703 + t^2.757 + t^3.297 + t^3.406 + t^4. + t^4.054 + t^4.108 + t^4.163 + t^4.217 + t^4.486 + t^4.594 + t^4.649 + 3*t^4.703 + 2*t^4.757 + 2*t^4.811 + t^4.865 + t^5.189 + t^5.243 + 2*t^5.297 + 2*t^5.351 + 3*t^5.406 + t^5.46 + 2*t^5.514 + t^5.946 - t^6. + 2*t^6.054 + 2*t^6.108 + 3*t^6.163 + t^6.217 + t^6.271 + t^6.325 + t^6.594 + 2*t^6.703 + 4*t^6.757 + 5*t^6.811 + 3*t^6.865 + 2*t^6.919 + t^6.974 + t^7.081 + t^7.135 + t^7.189 + t^7.243 + 2*t^7.297 + 3*t^7.351 + 5*t^7.406 + 5*t^7.46 + 4*t^7.514 + 2*t^7.568 + 2*t^7.622 + t^7.783 + t^7.892 + 2*t^8. + t^8.054 + 3*t^8.108 + 4*t^8.163 + 4*t^8.217 + 4*t^8.271 + t^8.325 + t^8.379 + t^8.433 - t^8.54 - t^8.594 - 3*t^8.649 + t^8.703 - t^8.757 + 6*t^8.811 + 6*t^8.865 + 7*t^8.919 + t^8.972 + 3*t^8.974 - t^4.351/y - t^6.406/y - t^6.46/y - t^7./y - t^7.108/y + t^7.163/y + t^7.594/y + t^7.649/y + (3*t^7.703)/y + (2*t^7.757)/y + (2*t^7.811)/y + t^7.865/y + (2*t^8.243)/y + (2*t^8.297)/y + (3*t^8.351)/y + (2*t^8.406)/y + t^8.46/y - t^8.568/y + t^8.892/y + t^8.946/y - t^4.351*y - t^6.406*y - t^6.46*y - t^7.*y - t^7.108*y + t^7.163*y + t^7.594*y + t^7.649*y + 3*t^7.703*y + 2*t^7.757*y + 2*t^7.811*y + t^7.865*y + 2*t^8.243*y + 2*t^8.297*y + 3*t^8.351*y + 2*t^8.406*y + t^8.46*y - t^8.568*y + t^8.892*y + t^8.946*y | t^2.054/g1^6 + t^2.108/g1^12 + g1^8*t^2.594 + g1^2*t^2.649 + t^2.703/g1^4 + t^2.757/g1^10 + g1^4*t^3.297 + t^3.406/g1^8 + t^4. + t^4.054/g1^6 + t^4.108/g1^12 + t^4.163/g1^18 + t^4.217/g1^24 + g1^20*t^4.486 + g1^8*t^4.594 + g1^2*t^4.649 + (3*t^4.703)/g1^4 + (2*t^4.757)/g1^10 + (2*t^4.811)/g1^16 + t^4.865/g1^22 + g1^16*t^5.189 + g1^10*t^5.243 + 2*g1^4*t^5.297 + (2*t^5.351)/g1^2 + (3*t^5.406)/g1^8 + t^5.46/g1^14 + (2*t^5.514)/g1^20 + g1^6*t^5.946 - t^6. + (2*t^6.054)/g1^6 + (2*t^6.108)/g1^12 + (3*t^6.163)/g1^18 + t^6.217/g1^24 + t^6.271/g1^30 + t^6.325/g1^36 + g1^8*t^6.594 + (2*t^6.703)/g1^4 + (4*t^6.757)/g1^10 + (5*t^6.811)/g1^16 + (3*t^6.865)/g1^22 + (2*t^6.919)/g1^28 + t^6.974/g1^34 + g1^28*t^7.081 + g1^22*t^7.135 + g1^16*t^7.189 + g1^10*t^7.243 + 2*g1^4*t^7.297 + (3*t^7.351)/g1^2 + (5*t^7.406)/g1^8 + (5*t^7.46)/g1^14 + (4*t^7.514)/g1^20 + (2*t^7.568)/g1^26 + (2*t^7.622)/g1^32 + g1^24*t^7.783 + g1^12*t^7.892 + 2*t^8. + t^8.054/g1^6 + (3*t^8.108)/g1^12 + (4*t^8.163)/g1^18 + (4*t^8.217)/g1^24 + (4*t^8.271)/g1^30 + t^8.325/g1^36 + t^8.379/g1^42 + t^8.433/g1^48 - g1^14*t^8.54 - g1^8*t^8.594 - 3*g1^2*t^8.649 + t^8.703/g1^4 - t^8.757/g1^10 + (6*t^8.811)/g1^16 + (6*t^8.865)/g1^22 + (7*t^8.919)/g1^28 + g1^40*t^8.972 + (3*t^8.974)/g1^34 - t^4.351/(g1^2*y) - t^6.406/(g1^8*y) - t^6.46/(g1^14*y) - t^7./y - t^7.108/(g1^12*y) + t^7.163/(g1^18*y) + (g1^8*t^7.594)/y + (g1^2*t^7.649)/y + (3*t^7.703)/(g1^4*y) + (2*t^7.757)/(g1^10*y) + (2*t^7.811)/(g1^16*y) + t^7.865/(g1^22*y) + (2*g1^10*t^8.243)/y + (2*g1^4*t^8.297)/y + (3*t^8.351)/(g1^2*y) + (2*t^8.406)/(g1^8*y) + t^8.46/(g1^14*y) - t^8.568/(g1^26*y) + (g1^12*t^8.892)/y + (g1^6*t^8.946)/y - (t^4.351*y)/g1^2 - (t^6.406*y)/g1^8 - (t^6.46*y)/g1^14 - t^7.*y - (t^7.108*y)/g1^12 + (t^7.163*y)/g1^18 + g1^8*t^7.594*y + g1^2*t^7.649*y + (3*t^7.703*y)/g1^4 + (2*t^7.757*y)/g1^10 + (2*t^7.811*y)/g1^16 + (t^7.865*y)/g1^22 + 2*g1^10*t^8.243*y + 2*g1^4*t^8.297*y + (3*t^8.351*y)/g1^2 + (2*t^8.406*y)/g1^8 + (t^8.46*y)/g1^14 - (t^8.568*y)/g1^26 + g1^12*t^8.892*y + g1^6*t^8.946*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 |
|---|---|---|---|---|---|---|---|---|
| 58887 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.6782 | 0.8573 | 0.791 | [M:[1.0, 1.2, 1.0667, 0.8, 0.8667, 0.8, 0.7333], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + 2*t^4.6 + 5*t^4.8 + 3*t^5. + 4*t^5.2 + 3*t^5.4 + 3*t^5.6 + 2*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 4069/6000, c: 643/750, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 13/15, M6: 4/5, M7: 11/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55342 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6683 | 0.8337 | 0.8015 | [M:[0.9209, 1.1367, 1.0983, 0.8633, 0.8825, 0.7051], q:[0.5204, 0.5588], qb:[0.3429, 0.7746], phi:[0.4508]] | t^2.115 + t^2.59 + t^2.647 + t^2.705 + t^2.763 + t^3.295 + t^3.41 + t^3.942 + t^4. + t^4.058 + t^4.23 + t^4.475 + t^4.59 + 2*t^4.705 + t^4.763 + t^4.82 + t^4.878 + t^5.18 + t^5.237 + 2*t^5.295 + t^5.353 + 3*t^5.41 + 2*t^5.525 + t^5.942 - t^6. - t^4.353/y - t^4.353*y | detail |