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 |
---|---|---|---|---|---|---|---|---|---|
3883 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ | 0.6284 | 0.8016 | 0.7839 | [M:[0.6871, 0.9516, 0.8678, 0.771, 1.229, 0.771, 1.0], q:[0.8371, 0.4758], qb:[0.2952, 0.7533], phi:[0.4097]] | [M:[[18], [-10], [14], [-6], [6], [-6], [0]], q:[[-13], [-5]], qb:[[-1], [11]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.061 + 2*t^2.313 + t^2.458 + t^2.603 + t^2.855 + t^3. + t^3.542 + t^4.084 + t^4.123 + 2*t^4.374 + t^4.52 + 3*t^4.626 + t^4.665 + 3*t^4.771 + 4*t^4.916 + 2*t^5.061 + 2*t^5.168 + t^5.207 + 3*t^5.313 + t^5.458 + t^5.603 + t^5.71 + 2*t^5.855 - t^6. + t^6.145 + t^6.184 + 2*t^6.397 + 2*t^6.436 + t^6.581 + 2*t^6.687 + t^6.726 + 2*t^6.832 + 4*t^6.939 + 4*t^6.978 + 3*t^7.084 + 2*t^7.123 + 5*t^7.229 + t^7.268 + 6*t^7.374 + 2*t^7.48 + 4*t^7.52 + 5*t^7.626 + 2*t^7.665 + 3*t^7.771 + t^7.81 + 2*t^7.916 + 2*t^8.022 - t^8.061 + 4*t^8.168 + t^8.207 + t^8.246 - 3*t^8.313 - t^8.458 + 2*t^8.497 + t^8.564 - 3*t^8.603 + t^8.642 + 2*t^8.71 + 2*t^8.749 + t^8.788 - 3*t^8.855 + 2*t^8.894 - t^4.229/y - t^6.29/y - t^6.542/y - t^6.687/y - t^6.832/y - t^7.084/y + (3*t^7.374)/y + t^7.52/y + (2*t^7.626)/y + t^7.665/y + (3*t^7.771)/y + (4*t^7.916)/y + (2*t^8.061)/y + (3*t^8.168)/y + (3*t^8.313)/y - t^8.352/y + (2*t^8.458)/y + t^8.603/y - t^8.749/y + (2*t^8.855)/y - t^8.894/y - t^4.229*y - t^6.29*y - t^6.542*y - t^6.687*y - t^6.832*y - t^7.084*y + 3*t^7.374*y + t^7.52*y + 2*t^7.626*y + t^7.665*y + 3*t^7.771*y + 4*t^7.916*y + 2*t^8.061*y + 3*t^8.168*y + 3*t^8.313*y - t^8.352*y + 2*t^8.458*y + t^8.603*y - t^8.749*y + 2*t^8.855*y - t^8.894*y | g1^18*t^2.061 + (2*t^2.313)/g1^6 + g1^4*t^2.458 + g1^14*t^2.603 + t^2.855/g1^10 + t^3. + t^3.542/g1^4 + t^4.084/g1^8 + g1^36*t^4.123 + 2*g1^12*t^4.374 + g1^22*t^4.52 + (3*t^4.626)/g1^12 + g1^32*t^4.665 + (3*t^4.771)/g1^2 + 4*g1^8*t^4.916 + 2*g1^18*t^5.061 + (2*t^5.168)/g1^16 + g1^28*t^5.207 + (3*t^5.313)/g1^6 + g1^4*t^5.458 + g1^14*t^5.603 + t^5.71/g1^20 + (2*t^5.855)/g1^10 - t^6. + g1^10*t^6.145 + g1^54*t^6.184 + (2*t^6.397)/g1^14 + 2*g1^30*t^6.436 + g1^40*t^6.581 + 2*g1^6*t^6.687 + g1^50*t^6.726 + 2*g1^16*t^6.832 + (4*t^6.939)/g1^18 + 4*g1^26*t^6.978 + (3*t^7.084)/g1^8 + 2*g1^36*t^7.123 + 5*g1^2*t^7.229 + g1^46*t^7.268 + 6*g1^12*t^7.374 + (2*t^7.48)/g1^22 + 4*g1^22*t^7.52 + (5*t^7.626)/g1^12 + 2*g1^32*t^7.665 + (3*t^7.771)/g1^2 + g1^42*t^7.81 + 2*g1^8*t^7.916 + (2*t^8.022)/g1^26 - g1^18*t^8.061 + (4*t^8.168)/g1^16 + g1^28*t^8.207 + g1^72*t^8.246 - (3*t^8.313)/g1^6 - g1^4*t^8.458 + 2*g1^48*t^8.497 + t^8.564/g1^30 - 3*g1^14*t^8.603 + g1^58*t^8.642 + (2*t^8.71)/g1^20 + 2*g1^24*t^8.749 + g1^68*t^8.788 - (3*t^8.855)/g1^10 + 2*g1^34*t^8.894 - (g1^2*t^4.229)/y - (g1^20*t^6.29)/y - t^6.542/(g1^4*y) - (g1^6*t^6.687)/y - (g1^16*t^6.832)/y - t^7.084/(g1^8*y) + (3*g1^12*t^7.374)/y + (g1^22*t^7.52)/y + (2*t^7.626)/(g1^12*y) + (g1^32*t^7.665)/y + (3*t^7.771)/(g1^2*y) + (4*g1^8*t^7.916)/y + (2*g1^18*t^8.061)/y + (3*t^8.168)/(g1^16*y) + (3*t^8.313)/(g1^6*y) - (g1^38*t^8.352)/y + (2*g1^4*t^8.458)/y + (g1^14*t^8.603)/y - (g1^24*t^8.749)/y + (2*t^8.855)/(g1^10*y) - (g1^34*t^8.894)/y - g1^2*t^4.229*y - g1^20*t^6.29*y - (t^6.542*y)/g1^4 - g1^6*t^6.687*y - g1^16*t^6.832*y - (t^7.084*y)/g1^8 + 3*g1^12*t^7.374*y + g1^22*t^7.52*y + (2*t^7.626*y)/g1^12 + g1^32*t^7.665*y + (3*t^7.771*y)/g1^2 + 4*g1^8*t^7.916*y + 2*g1^18*t^8.061*y + (3*t^8.168*y)/g1^16 + (3*t^8.313*y)/g1^6 - g1^38*t^8.352*y + 2*g1^4*t^8.458*y + g1^14*t^8.603*y - g1^24*t^8.749*y + (2*t^8.855*y)/g1^10 - g1^34*t^8.894*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 |
---|---|---|---|---|---|---|---|---|
5477 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{1}M_{3}$ | 0.5852 | 0.7532 | 0.777 | [M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.6875, 1.0], q:[0.6563, 0.4063], qb:[0.2813, 0.9063], phi:[0.4375]] | 2*t^2.063 + t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.75 + 3*t^4.125 + 2*t^4.5 + 3*t^4.688 + 3*t^4.875 + 3*t^5.063 + 4*t^5.25 + 3*t^5.438 + 2*t^5.625 + 4*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 76701/131072, c: 98717/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
5478 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6438 | 0.8286 | 0.777 | [M:[0.6775, 0.9569, 0.8603, 0.7742, 1.2258, 0.7742, 1.0, 0.8172], q:[0.844, 0.4785], qb:[0.2957, 0.7474], phi:[0.4086]] | t^2.033 + 2*t^2.322 + 2*t^2.452 + t^2.581 + t^2.871 + t^3. + t^4.065 + t^4.097 + 2*t^4.355 + 2*t^4.484 + t^4.614 + 3*t^4.645 + 5*t^4.774 + 6*t^4.903 + 3*t^5.033 + t^5.162 + 2*t^5.193 + 4*t^5.322 + 2*t^5.452 + t^5.742 - 2*t^6. - t^4.226/y - t^4.226*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 |
---|---|---|---|---|---|---|---|---|---|
3396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6909 | 0.8877 | 0.7783 | [M:[0.7502, 0.7838, 0.6844, 0.8495, 1.1505, 0.8495, 0.7012], q:[0.8579, 0.3919], qb:[0.4576, 0.7586], phi:[0.3835]] | t^2.053 + t^2.104 + t^2.25 + t^2.301 + t^2.351 + 2*t^2.549 + t^3.502 + t^3.699 + t^4.106 + t^4.157 + t^4.207 + t^4.304 + 2*t^4.354 + 2*t^4.405 + t^4.455 + t^4.501 + t^4.551 + 4*t^4.602 + 3*t^4.652 + t^4.703 + 2*t^4.799 + 3*t^4.85 + 2*t^4.9 + 3*t^5.097 + t^5.555 + t^5.606 + t^5.752 + t^5.803 + t^5.853 - 2*t^6. - t^4.15/y - t^4.15*y | detail |