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 |
---|---|---|---|---|---|---|---|---|---|
56476 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.674 | 0.8371 | 0.8051 | [M:[1.167, 0.9981, 0.833, 0.778, 0.778, 1.112, 0.9431], q:[0.389, 0.444], qb:[0.6129, 0.778], phi:[0.444]] | [M:[[3], [-18], [-3], [2], [2], [8], [-13]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}^{2}$ | ${}$ | -2 | 2*t^2.334 + t^2.499 + t^2.829 + t^2.994 + t^3.336 + t^3.501 + t^3.831 + t^3.996 + t^4.173 + t^4.338 + t^4.503 + 3*t^4.668 + 2*t^4.833 + t^4.998 + t^5.01 + 2*t^5.163 + 2*t^5.328 + t^5.658 + 2*t^5.67 + t^5.823 + 2*t^5.835 + t^5.989 - 2*t^6. + t^6.165 + 4*t^6.33 + t^6.495 + t^6.507 + 2*t^6.672 + t^6.825 + 2*t^6.837 + t^6.99 + 4*t^7.002 + 3*t^7.167 + 2*t^7.332 + 2*t^7.344 + 4*t^7.497 + t^7.509 + 3*t^7.662 + t^7.674 + t^7.827 + 3*t^7.992 + 3*t^8.004 + 2*t^8.157 + 2*t^8.169 + 2*t^8.323 - 4*t^8.334 + t^8.345 + t^8.488 + t^8.511 + t^8.653 + 4*t^8.664 + t^8.818 - t^8.829 + t^8.841 + t^8.983 - 2*t^8.994 - t^4.332/y - (2*t^6.666)/y - t^7.161/y - t^7.326/y + t^7.338/y + t^7.503/y + t^7.668/y + (2*t^7.833)/y + (2*t^7.998)/y + (2*t^8.163)/y + (3*t^8.328)/y + t^8.493/y + (2*t^8.67)/y + t^8.823/y + (3*t^8.835)/y - t^4.332*y - 2*t^6.666*y - t^7.161*y - t^7.326*y + t^7.338*y + t^7.503*y + t^7.668*y + 2*t^7.833*y + 2*t^7.998*y + 2*t^8.163*y + 3*t^8.328*y + t^8.493*y + 2*t^8.67*y + t^8.823*y + 3*t^8.835*y | 2*g1^2*t^2.334 + t^2.499/g1^3 + t^2.829/g1^13 + t^2.994/g1^18 + g1^8*t^3.336 + g1^3*t^3.501 + t^3.831/g1^7 + t^3.996/g1^12 + g1^19*t^4.173 + g1^14*t^4.338 + g1^9*t^4.503 + 3*g1^4*t^4.668 + (2*t^4.833)/g1 + t^4.998/g1^6 + g1^30*t^5.01 + (2*t^5.163)/g1^11 + (2*t^5.328)/g1^16 + t^5.658/g1^26 + 2*g1^10*t^5.67 + t^5.823/g1^31 + 2*g1^5*t^5.835 + t^5.989/g1^36 - 2*t^6. + t^6.165/g1^5 + (4*t^6.33)/g1^10 + t^6.495/g1^15 + g1^21*t^6.507 + 2*g1^16*t^6.672 + t^6.825/g1^25 + 2*g1^11*t^6.837 + t^6.99/g1^30 + 4*g1^6*t^7.002 + 3*g1*t^7.167 + (2*t^7.332)/g1^4 + 2*g1^32*t^7.344 + (4*t^7.497)/g1^9 + g1^27*t^7.509 + (3*t^7.662)/g1^14 + g1^22*t^7.674 + t^7.827/g1^19 + (3*t^7.992)/g1^24 + 3*g1^12*t^8.004 + (2*t^8.157)/g1^29 + 2*g1^7*t^8.169 + (2*t^8.323)/g1^34 - 4*g1^2*t^8.334 + g1^38*t^8.345 + t^8.488/g1^39 + g1^33*t^8.511 + t^8.653/g1^44 + (4*t^8.664)/g1^8 + t^8.818/g1^49 - t^8.829/g1^13 + g1^23*t^8.841 + t^8.983/g1^54 - (2*t^8.994)/g1^18 - t^4.332/(g1^4*y) - (2*t^6.666)/(g1^2*y) - t^7.161/(g1^17*y) - t^7.326/(g1^22*y) + (g1^14*t^7.338)/y + (g1^9*t^7.503)/y + (g1^4*t^7.668)/y + (2*t^7.833)/(g1*y) + (2*t^7.998)/(g1^6*y) + (2*t^8.163)/(g1^11*y) + (3*t^8.328)/(g1^16*y) + t^8.493/(g1^21*y) + (2*g1^10*t^8.67)/y + t^8.823/(g1^31*y) + (3*g1^5*t^8.835)/y - (t^4.332*y)/g1^4 - (2*t^6.666*y)/g1^2 - (t^7.161*y)/g1^17 - (t^7.326*y)/g1^22 + g1^14*t^7.338*y + g1^9*t^7.503*y + g1^4*t^7.668*y + (2*t^7.833*y)/g1 + (2*t^7.998*y)/g1^6 + (2*t^8.163*y)/g1^11 + (3*t^8.328*y)/g1^16 + (t^8.493*y)/g1^21 + 2*g1^10*t^8.67*y + (t^8.823*y)/g1^31 + 3*g1^5*t^8.835*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 |
---|---|---|---|---|---|---|---|---|
58724 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6731 | 0.8364 | 0.8048 | [M:[1.1613, 1.0323, 0.8387, 0.7742, 0.7742, 1.0968, 0.9677], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | 2*t^2.323 + t^2.516 + t^2.903 + t^3.097 + t^3.29 + t^3.484 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + 3*t^4.645 + 3*t^4.839 + t^5.032 + 2*t^5.226 + 2*t^5.419 + 2*t^5.613 + 3*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 320841/476656, c: 199341/238328, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 24/31, M6: 34/31, M7: 30/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
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 |
---|---|---|---|---|---|---|---|---|---|
53707 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6702 | 0.8321 | 0.8054 | [M:[1.1592, 1.0445, 0.8408, 0.7728, 0.7728, 1.0913], q:[0.3864, 0.4543], qb:[0.5691, 0.7728], phi:[0.4543]] | 2*t^2.318 + t^2.522 + t^3.07 + t^3.134 + t^3.274 + t^3.478 + t^3.885 + t^4.026 + t^4.089 + t^4.229 + t^4.433 + 3*t^4.637 + t^4.777 + 2*t^4.841 + t^5.045 + 2*t^5.389 + t^5.452 + 3*t^5.592 + 2*t^5.796 - 2*t^6. - t^4.363/y - t^4.363*y | detail |