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 |
---|---|---|---|---|---|---|---|---|---|
5064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7199 | 0.9211 | 0.7816 | [M:[0.9701, 0.7811, 0.9228, 0.8283, 1.1717, 0.6866, 0.8283, 0.7811], q:[0.6394, 0.3906], qb:[0.4378, 0.7811], phi:[0.4378]] | [M:[[-18], [2], [-13], [-3], [3], [12], [-3], [2]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$ | ${}$ | -3 | t^2.06 + 2*t^2.343 + 2*t^2.485 + t^2.627 + t^2.768 + t^2.91 + t^3.798 + t^4.12 + t^4.261 + 3*t^4.403 + 3*t^4.545 + 4*t^4.687 + 5*t^4.828 + 6*t^4.97 + 4*t^5.112 + t^5.15 + 4*t^5.253 + 2*t^5.395 + 2*t^5.537 + t^5.679 + t^5.82 - 3*t^6. + t^6.18 + t^6.283 + t^6.321 + 3*t^6.463 + 4*t^6.605 + 6*t^6.747 + 8*t^6.888 + 11*t^7.03 + 10*t^7.172 + t^7.21 + 11*t^7.313 + 12*t^7.455 + 2*t^7.493 + 12*t^7.597 + t^7.635 + 8*t^7.739 + 8*t^7.88 - 2*t^7.918 + 5*t^8.022 - 4*t^8.06 + 5*t^8.164 - 4*t^8.202 + t^8.24 + 3*t^8.305 - 8*t^8.343 + t^8.381 + 2*t^8.447 - 8*t^8.485 + 3*t^8.523 + t^8.589 - 6*t^8.627 + 4*t^8.665 + t^8.73 - 4*t^8.768 + 6*t^8.806 - 4*t^8.91 + 9*t^8.948 - t^4.313/y - t^6.373/y - (2*t^6.657)/y - t^6.798/y - t^6.94/y - t^7.082/y - t^7.224/y + (3*t^7.403)/y + (3*t^7.545)/y + (3*t^7.687)/y + (6*t^7.828)/y + (6*t^7.97)/y + (4*t^8.112)/y + (5*t^8.253)/y + (3*t^8.395)/y - t^8.433/y + t^8.537/y + t^8.679/y - (2*t^8.717)/y - t^4.313*y - t^6.373*y - 2*t^6.657*y - t^6.798*y - t^6.94*y - t^7.082*y - t^7.224*y + 3*t^7.403*y + 3*t^7.545*y + 3*t^7.687*y + 6*t^7.828*y + 6*t^7.97*y + 4*t^8.112*y + 5*t^8.253*y + 3*t^8.395*y - t^8.433*y + t^8.537*y + t^8.679*y - 2*t^8.717*y | g1^12*t^2.06 + 2*g1^2*t^2.343 + (2*t^2.485)/g1^3 + t^2.627/g1^8 + t^2.768/g1^13 + t^2.91/g1^18 + t^3.798/g1^7 + g1^24*t^4.12 + g1^19*t^4.261 + 3*g1^14*t^4.403 + 3*g1^9*t^4.545 + 4*g1^4*t^4.687 + (5*t^4.828)/g1 + (6*t^4.97)/g1^6 + (4*t^5.112)/g1^11 + g1^30*t^5.15 + (4*t^5.253)/g1^16 + (2*t^5.395)/g1^21 + (2*t^5.537)/g1^26 + t^5.679/g1^31 + t^5.82/g1^36 - 3*t^6. + g1^36*t^6.18 + t^6.283/g1^10 + g1^31*t^6.321 + 3*g1^26*t^6.463 + 4*g1^21*t^6.605 + 6*g1^16*t^6.747 + 8*g1^11*t^6.888 + 11*g1^6*t^7.03 + 10*g1*t^7.172 + g1^42*t^7.21 + (11*t^7.313)/g1^4 + (12*t^7.455)/g1^9 + 2*g1^32*t^7.493 + (12*t^7.597)/g1^14 + g1^27*t^7.635 + (8*t^7.739)/g1^19 + (8*t^7.88)/g1^24 - 2*g1^17*t^7.918 + (5*t^8.022)/g1^29 - 4*g1^12*t^8.06 + (5*t^8.164)/g1^34 - 4*g1^7*t^8.202 + g1^48*t^8.24 + (3*t^8.305)/g1^39 - 8*g1^2*t^8.343 + g1^43*t^8.381 + (2*t^8.447)/g1^44 - (8*t^8.485)/g1^3 + 3*g1^38*t^8.523 + t^8.589/g1^49 - (6*t^8.627)/g1^8 + 4*g1^33*t^8.665 + t^8.73/g1^54 - (4*t^8.768)/g1^13 + 6*g1^28*t^8.806 - (4*t^8.91)/g1^18 + 9*g1^23*t^8.948 - t^4.313/(g1^4*y) - (g1^8*t^6.373)/y - (2*t^6.657)/(g1^2*y) - t^6.798/(g1^7*y) - t^6.94/(g1^12*y) - t^7.082/(g1^17*y) - t^7.224/(g1^22*y) + (3*g1^14*t^7.403)/y + (3*g1^9*t^7.545)/y + (3*g1^4*t^7.687)/y + (6*t^7.828)/(g1*y) + (6*t^7.97)/(g1^6*y) + (4*t^8.112)/(g1^11*y) + (5*t^8.253)/(g1^16*y) + (3*t^8.395)/(g1^21*y) - (g1^20*t^8.433)/y + t^8.537/(g1^26*y) + t^8.679/(g1^31*y) - (2*g1^10*t^8.717)/y - (t^4.313*y)/g1^4 - g1^8*t^6.373*y - (2*t^6.657*y)/g1^2 - (t^6.798*y)/g1^7 - (t^6.94*y)/g1^12 - (t^7.082*y)/g1^17 - (t^7.224*y)/g1^22 + 3*g1^14*t^7.403*y + 3*g1^9*t^7.545*y + 3*g1^4*t^7.687*y + (6*t^7.828*y)/g1 + (6*t^7.97*y)/g1^6 + (4*t^8.112*y)/g1^11 + (5*t^8.253*y)/g1^16 + (3*t^8.395*y)/g1^21 - g1^20*t^8.433*y + (t^8.537*y)/g1^26 + (t^8.679*y)/g1^31 - 2*g1^10*t^8.717*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
3194 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.7023 | 0.8898 | 0.7893 | [M:[0.9666, 0.7815, 0.9203, 0.8278, 1.1722, 0.689, 0.8278], q:[0.6427, 0.3907], qb:[0.437, 0.7815], phi:[0.437]] | t^2.067 + t^2.344 + 2*t^2.483 + t^2.622 + t^2.761 + t^2.9 + t^3.656 + t^3.794 + t^4.134 + t^4.273 + 2*t^4.411 + 3*t^4.55 + 2*t^4.689 + 3*t^4.828 + 5*t^4.967 + 3*t^5.105 + t^5.167 + 3*t^5.244 + 2*t^5.383 + 2*t^5.522 + t^5.661 + t^5.722 + t^5.799 - 2*t^6. - t^4.311/y - t^4.311*y | detail |