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 |
|---|---|---|---|---|---|---|---|---|---|
| 2549 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6611 | 0.834 | 0.7927 | [M:[1.0309, 0.8833, 1.1167, 0.7976, 1.2024, 0.8833, 0.7119], q:[0.5274, 0.4417], qb:[0.3559, 0.7607], phi:[0.4786]] | [M:[[-38], [14], [-14], [-10], [10], [14], [-34]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.136 + t^2.393 + 2*t^2.65 + t^2.871 + t^3.093 + t^3.571 + t^3.607 + t^3.829 + 2*t^4.086 + t^4.271 + t^4.343 + t^4.528 + t^4.6 + 3*t^4.786 + t^5.007 + 2*t^5.043 + t^5.228 + t^5.264 + 3*t^5.3 + 2*t^5.521 + t^5.707 + 2*t^5.743 + 3*t^5.964 - 2*t^6. + t^6.186 + 4*t^6.221 - t^6.257 + t^6.407 + t^6.443 + 4*t^6.479 - t^6.514 + 2*t^6.664 + 4*t^6.736 + 3*t^6.921 + 2*t^6.993 + 2*t^7.143 + 3*t^7.178 - t^7.214 + 2*t^7.25 + t^7.364 + 2*t^7.4 + 3*t^7.436 + 5*t^7.657 + 2*t^7.693 - t^7.729 + t^7.843 + 2*t^7.878 + 3*t^7.914 + 2*t^7.95 + 3*t^8.1 - 3*t^8.136 + 5*t^8.171 + t^8.321 + 5*t^8.357 - 2*t^8.393 + t^8.429 + t^8.543 + t^8.578 + 7*t^8.614 - 8*t^8.65 + 2*t^8.686 + 2*t^8.8 + 3*t^8.836 + 5*t^8.871 - 4*t^8.907 + t^8.943 - t^4.436/y - t^6.571/y - t^7.086/y - t^7.307/y + t^7.343/y + t^7.564/y + (3*t^7.786)/y + t^8.007/y + (2*t^8.043)/y + t^8.228/y + t^8.264/y + (2*t^8.3)/y + t^8.486/y + (2*t^8.521)/y + (3*t^8.743)/y + (3*t^8.964)/y - t^4.436*y - t^6.571*y - t^7.086*y - t^7.307*y + t^7.343*y + t^7.564*y + 3*t^7.786*y + t^8.007*y + 2*t^8.043*y + t^8.228*y + t^8.264*y + 2*t^8.3*y + t^8.486*y + 2*t^8.521*y + 3*t^8.743*y + 3*t^8.964*y | t^2.136/g1^34 + t^2.393/g1^10 + 2*g1^14*t^2.65 + t^2.871/g1^12 + t^3.093/g1^38 + t^3.571/g1^40 + g1^10*t^3.607 + t^3.829/g1^16 + 2*g1^8*t^4.086 + t^4.271/g1^68 + g1^32*t^4.343 + t^4.528/g1^44 + g1^56*t^4.6 + (3*t^4.786)/g1^20 + t^5.007/g1^46 + 2*g1^4*t^5.043 + t^5.228/g1^72 + t^5.264/g1^22 + 3*g1^28*t^5.3 + 2*g1^2*t^5.521 + t^5.707/g1^74 + (2*t^5.743)/g1^24 + (3*t^5.964)/g1^50 - 2*t^6. + t^6.186/g1^76 + (4*t^6.221)/g1^26 - g1^24*t^6.257 + t^6.407/g1^102 + t^6.443/g1^52 + (4*t^6.479)/g1^2 - g1^48*t^6.514 + (2*t^6.664)/g1^78 + 4*g1^22*t^6.736 + (3*t^6.921)/g1^54 + 2*g1^46*t^6.993 + (2*t^7.143)/g1^80 + (3*t^7.178)/g1^30 - g1^20*t^7.214 + 2*g1^70*t^7.25 + t^7.364/g1^106 + (2*t^7.4)/g1^56 + (3*t^7.436)/g1^6 + (5*t^7.657)/g1^32 + 2*g1^18*t^7.693 - g1^68*t^7.729 + t^7.843/g1^108 + (2*t^7.878)/g1^58 + (3*t^7.914)/g1^8 + 2*g1^42*t^7.95 + (3*t^8.1)/g1^84 - (3*t^8.136)/g1^34 + 5*g1^16*t^8.171 + t^8.321/g1^110 + (5*t^8.357)/g1^60 - (2*t^8.393)/g1^10 + g1^40*t^8.429 + t^8.543/g1^136 + t^8.578/g1^86 + (7*t^8.614)/g1^36 - 8*g1^14*t^8.65 + 2*g1^64*t^8.686 + (2*t^8.8)/g1^112 + (3*t^8.836)/g1^62 + (5*t^8.871)/g1^12 - 4*g1^38*t^8.907 + g1^88*t^8.943 - t^4.436/(g1^6*y) - t^6.571/(g1^40*y) - (g1^8*t^7.086)/y - t^7.307/(g1^18*y) + (g1^32*t^7.343)/y + (g1^6*t^7.564)/y + (3*t^7.786)/(g1^20*y) + t^8.007/(g1^46*y) + (2*g1^4*t^8.043)/y + t^8.228/(g1^72*y) + t^8.264/(g1^22*y) + (2*g1^28*t^8.3)/y + t^8.486/(g1^48*y) + (2*g1^2*t^8.521)/y + (3*t^8.743)/(g1^24*y) + (3*t^8.964)/(g1^50*y) - (t^4.436*y)/g1^6 - (t^6.571*y)/g1^40 - g1^8*t^7.086*y - (t^7.307*y)/g1^18 + g1^32*t^7.343*y + g1^6*t^7.564*y + (3*t^7.786*y)/g1^20 + (t^8.007*y)/g1^46 + 2*g1^4*t^8.043*y + (t^8.228*y)/g1^72 + (t^8.264*y)/g1^22 + 2*g1^28*t^8.3*y + (t^8.486*y)/g1^48 + 2*g1^2*t^8.521*y + (3*t^8.743*y)/g1^24 + (3*t^8.964*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4626 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6586 | 0.8292 | 0.7943 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8649, 0.7568], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.27 + t^2.432 + 2*t^2.595 + t^2.919 + t^3.243 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + 3*t^4.865 + 2*t^5.027 + 4*t^5.189 + t^5.351 + 3*t^5.514 + 2*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 533757/810448, c: 336013/405224, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 32/37, M7: 28/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
| 4636 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6811 | 0.8711 | 0.7818 | [M:[1.0369, 0.8811, 1.1189, 0.7992, 1.2008, 0.8811, 0.7172, 0.7213], q:[0.5225, 0.4406], qb:[0.3586, 0.7602], phi:[0.4795]] | t^2.152 + t^2.164 + t^2.398 + 2*t^2.643 + t^2.877 + t^3.111 + t^3.59 + t^3.602 + 2*t^4.082 + t^4.303 + t^4.316 + 2*t^4.328 + t^4.549 + t^4.561 + t^4.574 + 3*t^4.795 + 2*t^4.807 + t^5.029 + 3*t^5.041 + t^5.262 + 2*t^5.275 + 3*t^5.287 + 2*t^5.52 + t^5.742 + 3*t^5.754 + t^5.766 + 2*t^5.988 - 2*t^6. - t^4.439/y - t^4.439*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1449 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 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 |