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 |
|---|---|---|---|---|---|---|---|---|---|
| 2812 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6886 | 0.8712 | 0.7904 | [M:[1.0, 0.8439, 1.1561, 0.6879, 0.6951], q:[0.4574, 0.5426], qb:[0.3866, 0.7695], phi:[0.461]] | [M:[[0], [-8], [8], [-16], [10]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.064 + t^2.085 + t^2.532 + t^2.766 + t^2.788 + t^3. + t^3.468 + t^3.681 + t^3.702 + 2*t^4.127 + t^4.149 + 2*t^4.171 + t^4.383 + t^4.595 + t^4.617 + t^4.639 + t^4.829 + 2*t^4.851 + t^4.873 + 2*t^5.064 + t^5.085 + t^5.298 + t^5.319 + 2*t^5.532 + 2*t^5.553 + t^5.575 + 3*t^5.766 + t^5.788 - t^6. + 2*t^6.191 + 2*t^6.212 + 3*t^6.234 + 2*t^6.256 + t^6.447 + 2*t^6.468 + t^6.49 + 2*t^6.659 + t^6.681 + 2*t^6.702 + t^6.724 + 2*t^6.893 + 2*t^6.915 + 2*t^6.936 + 2*t^6.958 + 2*t^7.127 + 2*t^7.149 + 3*t^7.171 + t^7.361 + t^7.383 + 2*t^7.405 + t^7.426 + 2*t^7.595 + 2*t^7.617 + 3*t^7.639 + t^7.66 + t^7.808 + 3*t^7.829 + 3*t^7.851 + t^7.873 - t^8.085 + t^8.107 + 3*t^8.254 + t^8.276 + 4*t^8.298 + 3*t^8.319 + 4*t^8.341 + t^8.363 + t^8.51 + 2*t^8.553 + t^8.575 + 2*t^8.723 + 2*t^8.744 + 2*t^8.766 - t^8.788 + 2*t^8.809 + 2*t^8.957 + 2*t^8.978 - t^4.383/y - t^6.447/y - t^6.468/y + t^7.595/y + (2*t^7.617)/y + t^7.829/y + (2*t^7.851)/y + t^7.873/y + t^8.064/y + t^8.085/y + (2*t^8.298)/y + (2*t^8.319)/y - t^8.51/y + t^8.532/y + t^8.553/y + t^8.744/y + (3*t^8.766)/y + (2*t^8.788)/y - t^4.383*y - t^6.447*y - t^6.468*y + t^7.595*y + 2*t^7.617*y + t^7.829*y + 2*t^7.851*y + t^7.873*y + t^8.064*y + t^8.085*y + 2*t^8.298*y + 2*t^8.319*y - t^8.51*y + t^8.532*y + t^8.553*y + t^8.744*y + 3*t^8.766*y + 2*t^8.788*y | t^2.064/g1^16 + g1^10*t^2.085 + t^2.532/g1^8 + t^2.766/g1^4 + g1^22*t^2.788 + t^3. + g1^8*t^3.468 + t^3.681/g1^14 + g1^12*t^3.702 + (2*t^4.127)/g1^32 + t^4.149/g1^6 + 2*g1^20*t^4.171 + t^4.383/g1^2 + t^4.595/g1^24 + g1^2*t^4.617 + g1^28*t^4.639 + t^4.829/g1^20 + 2*g1^6*t^4.851 + g1^32*t^4.873 + (2*t^5.064)/g1^16 + g1^10*t^5.085 + t^5.298/g1^12 + g1^14*t^5.319 + (2*t^5.532)/g1^8 + 2*g1^18*t^5.553 + g1^44*t^5.575 + (3*t^5.766)/g1^4 + g1^22*t^5.788 - t^6. + (2*t^6.191)/g1^48 + (2*t^6.212)/g1^22 + 3*g1^4*t^6.234 + 2*g1^30*t^6.256 + t^6.447/g1^18 + 2*g1^8*t^6.468 + g1^34*t^6.49 + (2*t^6.659)/g1^40 + t^6.681/g1^14 + 2*g1^12*t^6.702 + g1^38*t^6.724 + (2*t^6.893)/g1^36 + (2*t^6.915)/g1^10 + 2*g1^16*t^6.936 + 2*g1^42*t^6.958 + (2*t^7.127)/g1^32 + (2*t^7.149)/g1^6 + 3*g1^20*t^7.171 + t^7.361/g1^28 + t^7.383/g1^2 + 2*g1^24*t^7.405 + g1^50*t^7.426 + (2*t^7.595)/g1^24 + 2*g1^2*t^7.617 + 3*g1^28*t^7.639 + g1^54*t^7.66 + t^7.808/g1^46 + (3*t^7.829)/g1^20 + 3*g1^6*t^7.851 + g1^32*t^7.873 - g1^10*t^8.085 + g1^36*t^8.107 + (3*t^8.254)/g1^64 + t^8.276/g1^38 + (4*t^8.298)/g1^12 + 3*g1^14*t^8.319 + 4*g1^40*t^8.341 + g1^66*t^8.363 + t^8.51/g1^34 + 2*g1^18*t^8.553 + g1^44*t^8.575 + (2*t^8.723)/g1^56 + (2*t^8.744)/g1^30 + (2*t^8.766)/g1^4 - g1^22*t^8.788 + 2*g1^48*t^8.809 + (2*t^8.957)/g1^52 + (2*t^8.978)/g1^26 - t^4.383/(g1^2*y) - t^6.447/(g1^18*y) - (g1^8*t^6.468)/y + t^7.595/(g1^24*y) + (2*g1^2*t^7.617)/y + t^7.829/(g1^20*y) + (2*g1^6*t^7.851)/y + (g1^32*t^7.873)/y + t^8.064/(g1^16*y) + (g1^10*t^8.085)/y + (2*t^8.298)/(g1^12*y) + (2*g1^14*t^8.319)/y - t^8.51/(g1^34*y) + t^8.532/(g1^8*y) + (g1^18*t^8.553)/y + t^8.744/(g1^30*y) + (3*t^8.766)/(g1^4*y) + (2*g1^22*t^8.788)/y - (t^4.383*y)/g1^2 - (t^6.447*y)/g1^18 - g1^8*t^6.468*y + (t^7.595*y)/g1^24 + 2*g1^2*t^7.617*y + (t^7.829*y)/g1^20 + 2*g1^6*t^7.851*y + g1^32*t^7.873*y + (t^8.064*y)/g1^16 + g1^10*t^8.085*y + (2*t^8.298*y)/g1^12 + 2*g1^14*t^8.319*y - (t^8.51*y)/g1^34 + (t^8.532*y)/g1^8 + g1^18*t^8.553*y + (t^8.744*y)/g1^30 + (3*t^8.766*y)/g1^4 + 2*g1^22*t^8.788*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 |
|---|---|---|---|---|---|---|---|---|
| 3339 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6028 | 0.7512 | 0.8024 | [X:[1.5], M:[1.0, 0.75, 1.25, 0.5, 0.8125], q:[0.2813, 0.7188], qb:[0.4688, 0.7813], phi:[0.4375]] | t^2.25 + t^2.438 + t^2.625 + 2*t^3. + t^3.188 + t^3.563 + t^3.75 + t^4.125 + t^4.313 + 2*t^4.5 + 3*t^4.875 + t^5.063 + 2*t^5.25 + 2*t^5.438 + 4*t^5.625 + t^5.813 + t^6. - t^4.313/y - t^4.313*y | detail | {a: 2469/4096, c: 3077/4096, X1: 3/2, M1: 1, M2: 3/4, M3: 5/4, M4: 1/2, M5: 13/16, q1: 9/32, q2: 23/32, qb1: 15/32, qb2: 25/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1798 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.668 | 0.8316 | 0.8032 | [M:[1.0, 0.8427, 1.1573, 0.6854], q:[0.4551, 0.5449], qb:[0.3876, 0.7697], phi:[0.4607]] | t^2.056 + t^2.528 + t^2.764 + t^2.798 + t^3. + t^3.472 + t^3.674 + t^3.708 + t^3.91 + 2*t^4.113 + t^4.18 + t^4.382 + t^4.584 + t^4.651 + t^4.82 + t^4.854 + 2*t^5.056 + t^5.292 + t^5.326 + 2*t^5.528 + t^5.562 + t^5.595 + 2*t^5.764 + t^5.966 - t^6. - t^4.382/y - t^4.382*y | detail |