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 |
|---|---|---|---|---|---|---|---|---|---|
| 4823 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6661 | 0.8234 | 0.809 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 1.0968, 1.0323, 0.8387], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | [M:[[-18], [2], [-13], [-3], [3], [8], [13], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 | {a: 5121/7688, c: 3165/3844, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 34/31, M7: 32/31, M8: 26/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$ | ${}$ | -2 | t^2.323 + 2*t^2.516 + 2*t^3.097 + t^3.29 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 3*t^4.839 + 3*t^5.032 + t^5.419 + 4*t^5.613 + t^5.806 - 2*t^6. + 4*t^6.194 + 4*t^6.387 + 3*t^6.581 + 2*t^6.774 + 2*t^6.968 + 5*t^7.161 + 5*t^7.355 + 5*t^7.548 + t^7.742 + 4*t^7.935 + 7*t^8.129 - t^8.323 - t^8.516 + 6*t^8.71 + 6*t^8.903 - t^4.355/y - t^6.677/y - t^6.871/y + t^7.258/y - t^7.452/y + (3*t^7.839)/y + (2*t^8.032)/y + (2*t^8.419)/y + (5*t^8.613)/y + (2*t^8.806)/y - t^4.355*y - t^6.677*y - t^6.871*y + t^7.258*y - t^7.452*y + 3*t^7.839*y + 2*t^8.032*y + 2*t^8.419*y + 5*t^8.613*y + 2*t^8.806*y | g1^2*t^2.323 + (2*t^2.516)/g1^3 + t^3.097/g1^18 + g1^13*t^3.097 + g1^8*t^3.29 + t^3.677/g1^2 + t^3.871/g1^7 + t^4.065/g1^12 + g1^19*t^4.065 + g1^14*t^4.258 + g1^9*t^4.452 + g1^4*t^4.645 + (2*t^4.839)/g1 + g1^30*t^4.839 + (3*t^5.032)/g1^6 + g1^15*t^5.419 + t^5.613/g1^21 + 3*g1^10*t^5.613 + g1^5*t^5.806 - 2*t^6. + t^6.194/g1^36 + (2*t^6.194)/g1^5 + g1^26*t^6.194 + (3*t^6.387)/g1^10 + g1^21*t^6.387 + t^6.581/g1^15 + 2*g1^16*t^6.581 + 2*g1^11*t^6.774 + 2*g1^6*t^6.968 + t^7.161/g1^30 + 2*g1*t^7.161 + 2*g1^32*t^7.161 + (2*t^7.355)/g1^4 + 3*g1^27*t^7.355 + (4*t^7.548)/g1^9 + g1^22*t^7.548 + t^7.742/g1^14 + 3*g1^12*t^7.935 + g1^43*t^7.935 + (2*t^8.129)/g1^24 + 4*g1^7*t^8.129 + g1^38*t^8.129 - g1^2*t^8.323 + t^8.516/g1^34 - (4*t^8.516)/g1^3 + 2*g1^28*t^8.516 + t^8.71/g1^39 + (2*t^8.71)/g1^8 + 3*g1^23*t^8.71 + (3*t^8.903)/g1^13 + 2*g1^18*t^8.903 + g1^49*t^8.903 - t^4.355/(g1^4*y) - t^6.677/(g1^2*y) - t^6.871/(g1^7*y) + (g1^14*t^7.258)/y - t^7.452/(g1^22*y) + (3*t^7.839)/(g1*y) + (2*t^8.032)/(g1^6*y) + t^8.419/(g1^16*y) + (g1^15*t^8.419)/y + (2*t^8.613)/(g1^21*y) + (3*g1^10*t^8.613)/y + (2*g1^5*t^8.806)/y - (t^4.355*y)/g1^4 - (t^6.677*y)/g1^2 - (t^6.871*y)/g1^7 + g1^14*t^7.258*y - (t^7.452*y)/g1^22 + (3*t^7.839*y)/g1 + (2*t^8.032*y)/g1^6 + (t^8.419*y)/g1^16 + g1^15*t^8.419*y + (2*t^8.613*y)/g1^21 + 3*g1^10*t^8.613*y + 2*g1^5*t^8.806*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2661 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6522 | 0.7997 | 0.8155 | [M:[1.0406, 0.7733, 0.9738, 0.8401, 1.1599, 1.0931, 1.0262], q:[0.5727, 0.3866], qb:[0.4535, 0.7733], phi:[0.4535]] | t^2.32 + t^2.52 + t^3.079 + t^3.122 + t^3.279 + t^3.48 + t^3.68 + t^3.881 + t^4.038 + t^4.081 + t^4.239 + t^4.439 + t^4.64 + t^4.797 + t^4.84 + t^5.041 + t^5.398 + 2*t^5.599 + t^5.799 - t^6. - t^4.36/y - t^4.36*y | detail |