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 |
|---|---|---|---|---|---|---|---|---|---|
| 940 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6987 | 0.854 | 0.8181 | [M:[0.9091, 1.0303, 0.9697, 0.9697, 1.0303, 1.0303], q:[0.5758, 0.5152], qb:[0.4545, 0.5152], phi:[0.4848]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [-8, -8]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 | {a: 2029/2904, c: 310/363, M1: 10/11, M2: 34/33, M3: 32/33, M4: 32/33, M5: 34/33, M6: 34/33, q1: 19/33, q2: 17/33, qb1: 5/11, qb2: 17/33, phi1: 16/33} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$ | ${}M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | 1 | t^2.727 + 2*t^2.909 + 3*t^3.091 + t^3.273 + t^4.182 + 2*t^4.364 + 4*t^4.545 + 2*t^4.727 + t^4.909 + t^5.455 + t^5.636 + 2*t^5.818 + t^6. + 3*t^6.182 + 2*t^6.364 + t^6.545 + t^6.909 + 3*t^7.091 + 5*t^7.273 + 6*t^7.455 + 6*t^7.636 + 5*t^7.818 + 3*t^8. + 2*t^8.182 + 2*t^8.364 + 3*t^8.545 + t^8.727 - t^8.909 - t^4.455/y - t^7.182/y + t^7.727/y + (2*t^8.636)/y + (4*t^8.818)/y - t^4.455*y - t^7.182*y + t^7.727*y + 2*t^8.636*y + 4*t^8.818*y | g1^20*g2^12*t^2.727 + (g1^4*t^2.909)/g2^4 + g1^6*g2^2*t^2.909 + (2*t^3.091)/(g1^8*g2^8) + (g2^4*t^3.091)/g1^4 + t^3.273/g1^16 + g1^19*g2*t^4.182 + (g1^7*t^4.364)/g2^3 + g1^11*g2^9*t^4.364 + (2*t^4.545)/(g1^5*g2^7) + (g2^5*t^4.545)/g1 + g1^3*g2^17*t^4.545 + t^4.727/(g1^17*g2^11) + (g2*t^4.727)/g1^13 + t^4.909/(g1^29*g2^15) + g1^40*g2^24*t^5.455 + g1^26*g2^14*t^5.636 + (g1^10*t^5.818)/g2^2 + g1^12*g2^4*t^5.818 - 3*t^6. + t^6./(g1^4*g2^12) + (2*t^6.)/(g1^2*g2^6) + g1^2*g2^6*t^6. + (2*t^6.182)/(g1^16*g2^16) + (g2^2*t^6.182)/g1^10 + t^6.364/(g1^24*g2^8) + (g2^4*t^6.364)/g1^20 + t^6.545/g1^32 + g1^39*g2^13*t^6.909 + (g1^23*t^7.091)/g2^3 + g1^25*g2^3*t^7.091 + g1^31*g2^21*t^7.091 + (2*g1^11*t^7.273)/g2^7 + g1^15*g2^5*t^7.273 + g1^17*g2^11*t^7.273 + g1^23*g2^29*t^7.273 + (2*t^7.455)/(g1*g2^11) + (g1*t^7.455)/g2^5 + g1^3*g2*t^7.455 + g1^7*g2^13*t^7.455 + g1^9*g2^19*t^7.455 + (3*t^7.636)/(g1^13*g2^15) - t^7.636/(g1^11*g2^9) + (2*t^7.636)/(g1^9*g2^3) + (2*g2^9*t^7.636)/g1^5 - (g2^15*t^7.636)/g1^3 + (g2^21*t^7.636)/g1 + (2*t^7.818)/(g1^25*g2^19) + (2*t^7.818)/(g1^21*g2^7) - t^7.818/(g1^19*g2) + (g2^5*t^7.818)/g1^17 + (g2^17*t^7.818)/g1^13 + (2*t^8.)/(g1^37*g2^23) - t^8./(g1^35*g2^17) + t^8./(g1^33*g2^11) + (g2*t^8.)/g1^29 + t^8.182/(g1^45*g2^15) + g1^60*g2^36*t^8.182 + g1^38*g2^2*t^8.364 + g1^46*g2^26*t^8.364 + (g1^26*t^8.545)/g2^2 - g1^28*g2^4*t^8.545 + g1^30*g2^10*t^8.545 + 2*g1^32*g2^16*t^8.545 - g1^16*t^8.727 + (2*g1^14*t^8.727)/g2^6 + 2*g1^18*g2^6*t^8.727 - 3*g1^20*g2^12*t^8.727 + g1^22*g2^18*t^8.727 + (3*g1^2*t^8.909)/g2^10 - (2*g1^4*t^8.909)/g2^4 - g1^6*g2^2*t^8.909 - 2*g1^8*g2^8*t^8.909 + g1^10*g2^14*t^8.909 - g1^12*g2^20*t^8.909 + g1^14*g2^26*t^8.909 - (g1^3*g2*t^4.455)/y - (g1^23*g2^13*t^7.182)/y - (g1^9*g2^3*t^7.364)/y + (g1^11*g2^9*t^7.364)/y - t^7.545/(g1^5*g2^7*y) + t^7.545/(g1^3*g2*y) + t^7.727/(g1^17*g2^11*y) + (g1^24*g2^8*t^8.636)/y + (g1^26*g2^14*t^8.636)/y + (g1^10*t^8.818)/(g2^2*y) + (2*g1^12*g2^4*t^8.818)/y + (g1^16*g2^16*t^8.818)/y - g1^3*g2*t^4.455*y - g1^23*g2^13*t^7.182*y - g1^9*g2^3*t^7.364*y + g1^11*g2^9*t^7.364*y - (t^7.545*y)/(g1^5*g2^7) + (t^7.545*y)/(g1^3*g2) + (t^7.727*y)/(g1^17*g2^11) + g1^24*g2^8*t^8.636*y + g1^26*g2^14*t^8.636*y + (g1^10*t^8.818*y)/g2^2 + 2*g1^12*g2^4*t^8.818*y + g1^16*g2^16*t^8.818*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 |
|---|---|---|---|---|---|---|---|---|
| 1449 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7095 | 0.8737 | 0.8121 | [M:[0.8819, 1.0292, 0.9708, 0.9402, 1.0598, 1.0292, 0.8513], q:[0.6035, 0.5146], qb:[0.4256, 0.5452], phi:[0.4778]] | t^2.554 + t^2.646 + t^2.821 + t^2.867 + 2*t^3.088 + t^3.179 + t^3.987 + t^4.254 + t^4.346 + 2*t^4.521 + t^4.613 + t^4.704 + t^4.788 + t^4.879 + t^5.055 + t^5.108 + t^5.199 + t^5.291 + t^5.375 + t^5.42 + t^5.512 + 2*t^5.641 + t^5.687 + 2*t^5.733 + t^5.908 + 2*t^5.954 - 3*t^6. - t^4.433/y - t^4.433*y | detail | |
| 2089 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5546 | 0.7066 | 0.7848 | [M:[0.7611, 0.9702, 1.0298, 0.7015, 1.2985, 0.9702], q:[0.7538, 0.4851], qb:[0.2164, 0.8134], phi:[0.4328]] | t^2.105 + t^2.283 + 2*t^2.597 + 2*t^2.911 + t^3.403 + t^3.895 + 2*t^4.209 + t^4.388 + t^4.566 + 3*t^4.702 + 2*t^4.88 + 2*t^5.015 + 4*t^5.194 + 4*t^5.508 + 3*t^5.821 - t^6. - t^4.298/y - t^4.298*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 |
|---|---|---|---|---|---|---|---|---|---|
| 596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ | 0.7026 | 0.8611 | 0.8159 | [M:[0.8739, 1.054, 0.946, 0.9819, 1.0181], q:[0.5991, 0.527], qb:[0.4549, 0.4911], phi:[0.482]] | t^2.622 + t^2.838 + t^2.892 + t^2.946 + t^3.054 + t^3.162 + t^3.271 + t^4.175 + t^4.284 + t^4.391 + t^4.393 + t^4.5 + 2*t^4.608 + t^4.717 + t^4.824 + t^5.041 + t^5.243 + t^5.46 + t^5.513 + t^5.676 + t^5.73 + t^5.784 + t^5.837 + t^5.892 + t^5.946 - 2*t^6. - t^4.446/y - t^4.446*y | detail |