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 |
|---|---|---|---|---|---|---|---|---|---|
| 2224 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6695 | 0.8409 | 0.7962 | [M:[1.1395, 1.0969, 0.9244, 0.8605, 0.688, 1.0969, 0.7093], q:[0.7742, 0.344], qb:[0.5165, 0.5591], phi:[0.4515]] | [M:[[8], [-4], [10], [-8], [6], [-4], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{1}q_{2}$ | ${}$ | -2 | t^2.064 + t^2.128 + t^2.581 + t^2.773 + 2*t^3.291 + t^3.355 + t^3.419 + t^4. + t^4.064 + t^4.128 + t^4.192 + t^4.256 + t^4.454 + t^4.581 + t^4.645 + 2*t^4.709 + t^4.837 + t^4.901 + t^5.163 + 2*t^5.355 + 3*t^5.419 + t^5.482 + 2*t^5.546 + t^5.872 + t^5.936 - 2*t^6. + 2*t^6.064 + 2*t^6.128 + 3*t^6.192 + t^6.256 + t^6.32 + t^6.383 + 3*t^6.581 + t^6.645 + 2*t^6.709 + 3*t^6.773 + 3*t^6.837 + t^6.901 + t^6.965 + t^7.029 + t^7.035 + t^7.291 + t^7.355 + 3*t^7.419 + 4*t^7.482 + 3*t^7.546 + 2*t^7.61 + 2*t^7.674 + 2*t^7.744 + 2*t^8. - t^8.064 + t^8.128 + 3*t^8.192 + 3*t^8.256 + 4*t^8.32 + t^8.383 + t^8.447 + t^8.454 + t^8.511 - 2*t^8.581 + 4*t^8.709 - t^8.773 + 4*t^8.837 + 4*t^8.901 + t^8.907 + 5*t^8.965 - t^4.355/y - t^6.419/y - t^6.482/y + t^7.064/y - t^7.128/y + t^7.192/y + t^7.581/y + t^7.709/y + t^7.837/y + t^7.901/y + t^8.227/y + t^8.291/y + (3*t^8.355)/y + (3*t^8.419)/y + t^8.482/y - t^8.61/y + (2*t^8.872)/y + t^8.936/y - t^4.355*y - t^6.419*y - t^6.482*y + t^7.064*y - t^7.128*y + t^7.192*y + t^7.581*y + t^7.709*y + t^7.837*y + t^7.901*y + t^8.227*y + t^8.291*y + 3*t^8.355*y + 3*t^8.419*y + t^8.482*y - t^8.61*y + 2*t^8.872*y + t^8.936*y | g1^6*t^2.064 + g1^12*t^2.128 + t^2.581/g1^8 + g1^10*t^2.773 + (2*t^3.291)/g1^4 + g1^2*t^3.355 + g1^8*t^3.419 + t^4. + g1^6*t^4.064 + g1^12*t^4.128 + g1^18*t^4.192 + g1^24*t^4.256 + t^4.454/g1^20 + t^4.581/g1^8 + t^4.645/g1^2 + 2*g1^4*t^4.709 + g1^16*t^4.837 + g1^22*t^4.901 + t^5.163/g1^16 + 2*g1^2*t^5.355 + 3*g1^8*t^5.419 + g1^14*t^5.482 + 2*g1^20*t^5.546 + t^5.872/g1^12 + t^5.936/g1^6 - 2*t^6. + 2*g1^6*t^6.064 + 2*g1^12*t^6.128 + 3*g1^18*t^6.192 + g1^24*t^6.256 + g1^30*t^6.32 + g1^36*t^6.383 + (3*t^6.581)/g1^8 + t^6.645/g1^2 + 2*g1^4*t^6.709 + 3*g1^10*t^6.773 + 3*g1^16*t^6.837 + g1^22*t^6.901 + g1^28*t^6.965 + g1^34*t^7.029 + t^7.035/g1^28 + t^7.291/g1^4 + g1^2*t^7.355 + 3*g1^8*t^7.419 + 4*g1^14*t^7.482 + 3*g1^20*t^7.546 + 2*g1^26*t^7.61 + 2*g1^32*t^7.674 + (2*t^7.744)/g1^24 + 2*t^8. - g1^6*t^8.064 + g1^12*t^8.128 + 3*g1^18*t^8.192 + 3*g1^24*t^8.256 + 4*g1^30*t^8.32 + g1^36*t^8.383 + g1^42*t^8.447 + t^8.454/g1^20 + g1^48*t^8.511 - (2*t^8.581)/g1^8 + 4*g1^4*t^8.709 - g1^10*t^8.773 + 4*g1^16*t^8.837 + 4*g1^22*t^8.901 + t^8.907/g1^40 + 5*g1^28*t^8.965 - (g1^2*t^4.355)/y - (g1^8*t^6.419)/y - (g1^14*t^6.482)/y + (g1^6*t^7.064)/y - (g1^12*t^7.128)/y + (g1^18*t^7.192)/y + t^7.581/(g1^8*y) + (g1^4*t^7.709)/y + (g1^16*t^7.837)/y + (g1^22*t^7.901)/y + t^8.227/(g1^10*y) + t^8.291/(g1^4*y) + (3*g1^2*t^8.355)/y + (3*g1^8*t^8.419)/y + (g1^14*t^8.482)/y - (g1^26*t^8.61)/y + (2*t^8.872)/(g1^12*y) + t^8.936/(g1^6*y) - g1^2*t^4.355*y - g1^8*t^6.419*y - g1^14*t^6.482*y + g1^6*t^7.064*y - g1^12*t^7.128*y + g1^18*t^7.192*y + (t^7.581*y)/g1^8 + g1^4*t^7.709*y + g1^16*t^7.837*y + g1^22*t^7.901*y + (t^8.227*y)/g1^10 + (t^8.291*y)/g1^4 + 3*g1^2*t^8.355*y + 3*g1^8*t^8.419*y + g1^14*t^8.482*y - g1^26*t^8.61*y + (2*t^8.872*y)/g1^12 + (t^8.936*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4225 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6244 | 0.7853 | 0.795 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 1.0303, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.182 + t^2.364 + t^2.727 + 2*t^3.091 + t^3.273 + 2*t^3.455 + t^3.818 + t^4. + t^4.182 + 2*t^4.364 + t^4.545 + t^4.727 + 2*t^4.909 + t^5.091 + t^5.273 + 3*t^5.455 + 3*t^5.636 + 3*t^5.818 - t^6. - t^4.455/y - t^4.455*y | detail | {a: 39889/63888, c: 25087/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 34/33, M7: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4226 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6802 | 0.8587 | 0.7921 | [M:[1.1435, 1.0949, 0.9294, 0.8565, 0.691, 1.0949, 0.7153, 0.8808], q:[0.7737, 0.3455], qb:[0.511, 0.5596], phi:[0.4525]] | t^2.073 + t^2.146 + t^2.569 + t^2.642 + t^2.788 + 2*t^3.285 + t^3.431 + t^4. + t^4.073 + t^4.146 + t^4.219 + t^4.292 + t^4.424 + t^4.569 + t^4.642 + 3*t^4.715 + t^4.788 + t^4.861 + t^4.934 + t^5.139 + t^5.212 + t^5.285 + 2*t^5.358 + 3*t^5.431 + 2*t^5.576 + t^5.854 + 2*t^5.927 - 2*t^6. - t^4.358/y - t^4.358*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1167 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6493 | 0.8027 | 0.8089 | [M:[1.1478, 1.0927, 0.9348, 0.8522, 0.6942, 1.0927], q:[0.7732, 0.3471], qb:[0.505, 0.5601], phi:[0.4536]] | t^2.083 + t^2.556 + t^2.804 + 2*t^3.278 + t^3.361 + t^3.444 + t^3.835 + t^4. + t^4.083 + t^4.165 + t^4.391 + t^4.556 + t^4.639 + t^4.722 + t^4.887 + t^5.113 + 2*t^5.361 + t^5.444 + t^5.609 + t^5.835 + 2*t^5.917 - 2*t^6. - t^4.361/y - t^4.361*y | detail |