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 |
|---|---|---|---|---|---|---|---|---|---|
| 50965 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.622 | 0.7618 | 0.8165 | [M:[1.1452, 0.7178, 0.8548, 0.8091, 1.2365, 0.7178, 1.1909], q:[0.4046, 0.4502], qb:[0.8777, 0.7406], phi:[0.3817]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [6, 8]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{5}$ | ${}$ | -2 | 2*t^2.153 + t^2.564 + t^3.436 + 2*t^3.573 + 2*t^3.71 + t^3.984 + 3*t^4.307 + 2*t^4.718 + t^4.855 + t^5.129 + 2*t^5.589 + 3*t^5.726 + 2*t^5.863 - 2*t^6. + 2*t^6.137 + t^6.274 + 4*t^6.46 + t^6.548 + 3*t^6.871 + 2*t^7.008 + 2*t^7.145 + 2*t^7.282 + t^7.419 + 2*t^7.693 + 3*t^7.742 + 4*t^7.879 + t^7.967 + 2*t^8.016 - 4*t^8.153 + 3*t^8.29 - 2*t^8.564 + 5*t^8.613 + t^8.838 - t^4.145/y - (2*t^6.299)/y + t^7.307/y + (2*t^7.718)/y + (2*t^7.992)/y - (3*t^8.452)/y + (2*t^8.589)/y + (4*t^8.726)/y + (4*t^8.863)/y - t^4.145*y - 2*t^6.299*y + t^7.307*y + 2*t^7.718*y + 2*t^7.992*y - 3*t^8.452*y + 2*t^8.589*y + 4*t^8.726*y + 4*t^8.863*y | t^2.153/(g1^11*g2^13) + g1^2*g2^4*t^2.153 + g1^3*g2^3*t^2.564 + t^3.436/(g1^3*g2^3) + t^3.573/(g1^7*g2^9) + g1^6*g2^8*t^3.573 + 2*g1^2*g2^2*t^3.71 + g1^7*g2^7*t^3.984 + t^4.307/(g1^22*g2^26) + t^4.307/(g1^9*g2^9) + g1^4*g2^8*t^4.307 + t^4.718/(g1^8*g2^10) + g1^5*g2^7*t^4.718 + g1*g2*t^4.855 + g1^6*g2^6*t^5.129 + t^5.589/(g1^14*g2^16) + (g2*t^5.589)/g1 + t^5.726/(g1^18*g2^22) + t^5.726/(g1^5*g2^5) + g1^8*g2^12*t^5.726 + t^5.863/(g1^9*g2^11) + g1^4*g2^6*t^5.863 - 2*t^6. + t^6.137/(g1^4*g2^6) + g1^9*g2^11*t^6.137 + g1^5*g2^5*t^6.274 + t^6.46/(g1^33*g2^39) + t^6.46/(g1^20*g2^22) + t^6.46/(g1^7*g2^5) + g1^6*g2^12*t^6.46 + g1^10*g2^10*t^6.548 + t^6.871/(g1^19*g2^23) + t^6.871/(g1^6*g2^6) + g1^7*g2^11*t^6.871 + t^7.008/(g1^10*g2^12) + g1^3*g2^5*t^7.008 + t^7.145/(g1^14*g2^18) + g1^12*g2^16*t^7.145 + t^7.282/(g1^5*g2^7) + g1^8*g2^10*t^7.282 + g1^4*g2^4*t^7.419 + 2*g1^9*g2^9*t^7.693 + t^7.742/(g1^25*g2^29) + t^7.742/(g1^12*g2^12) + g1*g2^5*t^7.742 + t^7.879/(g1^29*g2^35) + t^7.879/(g1^16*g2^18) + t^7.879/(g1^3*g2) + g1^10*g2^16*t^7.879 + g1^14*g2^14*t^7.967 + t^8.016/(g1^20*g2^24) + g1^6*g2^10*t^8.016 - (2*t^8.153)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.153 + t^8.29/(g1^15*g2^19) + t^8.29/(g1^2*g2^2) + g1^11*g2^15*t^8.29 - 2*g1^3*g2^3*t^8.564 + t^8.613/(g1^44*g2^52) + t^8.613/(g1^31*g2^35) + t^8.613/(g1^18*g2^18) + t^8.613/(g1^5*g2) + g1^8*g2^16*t^8.613 + g1^8*g2^8*t^8.838 - t^4.145/(g1*g2*y) - t^6.299/(g1^12*g2^14*y) - (g1*g2^3*t^6.299)/y + t^7.307/(g1^9*g2^9*y) + t^7.718/(g1^8*g2^10*y) + (g1^5*g2^7*t^7.718)/y + t^7.992/(g1^3*g2^5*y) + (g1^10*g2^12*t^7.992)/y - t^8.452/(g1^23*g2^27*y) - t^8.452/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.452)/y + t^8.589/(g1^14*g2^16*y) + (g2*t^8.589)/(g1*y) + t^8.726/(g1^18*g2^22*y) + (2*t^8.726)/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.726)/y + (2*t^8.863)/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.863)/y - (t^4.145*y)/(g1*g2) - (t^6.299*y)/(g1^12*g2^14) - g1*g2^3*t^6.299*y + (t^7.307*y)/(g1^9*g2^9) + (t^7.718*y)/(g1^8*g2^10) + g1^5*g2^7*t^7.718*y + (t^7.992*y)/(g1^3*g2^5) + g1^10*g2^12*t^7.992*y - (t^8.452*y)/(g1^23*g2^27) - (t^8.452*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.452*y + (t^8.589*y)/(g1^14*g2^16) + (g2*t^8.589*y)/g1 + (t^8.726*y)/(g1^18*g2^22) + (2*t^8.726*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.726*y + (2*t^8.863*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.863*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 |
|---|---|---|---|---|---|---|---|---|
| 56274 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6353 | 0.7844 | 0.8099 | [M:[1.1579, 0.7368, 0.8421, 0.807, 1.2281, 0.7368, 1.193, 0.8421], q:[0.4035, 0.4386], qb:[0.8596, 0.7544], phi:[0.386]] | 2*t^2.211 + 2*t^2.526 + 2*t^3.579 + 2*t^3.684 + t^3.895 + 3*t^4.421 + 4*t^4.737 + t^4.842 + 3*t^5.053 + 3*t^5.789 + 2*t^5.895 - 3*t^6. - t^4.158/y - t^4.158*y | detail | {a: 688/1083, c: 1699/2166, M1: 22/19, M2: 14/19, M3: 16/19, M4: 46/57, M5: 70/57, M6: 14/19, M7: 68/57, M8: 16/19, q1: 23/57, q2: 25/57, qb1: 49/57, qb2: 43/57, phi1: 22/57} |
| 56184 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6429 | 0.8033 | 0.8003 | [M:[1.1444, 0.7166, 0.8556, 0.8093, 1.2371, 0.7166, 1.1907, 0.6702], q:[0.4046, 0.451], qb:[0.8788, 0.7397], phi:[0.3815]] | t^2.011 + 2*t^2.15 + t^2.567 + t^3.433 + 2*t^3.572 + 2*t^3.711 + t^4.021 + 2*t^4.16 + 3*t^4.299 + t^4.578 + 2*t^4.717 + t^4.856 + t^5.134 + t^5.444 + 4*t^5.583 + 5*t^5.722 + 2*t^5.861 - 2*t^6. - t^4.144/y - t^4.144*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47025 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6388 | 0.7919 | 0.8066 | [M:[1.147, 0.7449, 0.853, 0.7844, 1.2353, 0.696], q:[0.3922, 0.4608], qb:[0.8629, 0.7548], phi:[0.3823]] | t^2.088 + t^2.235 + t^2.353 + t^2.559 + t^3.441 + t^3.5 + 2*t^3.706 + t^3.971 + t^4.176 + t^4.323 + t^4.441 + t^4.469 + t^4.588 + t^4.647 + t^4.707 + t^4.794 + t^4.853 + t^4.912 + t^5.118 + t^5.529 + t^5.588 + t^5.676 + 2*t^5.794 + t^5.854 + t^5.941 - 2*t^6. - t^4.147/y - t^4.147*y | detail |