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 |
---|---|---|---|---|---|---|---|---|---|
1477 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ | 0.6585 | 0.8203 | 0.8028 | [X:[1.3457], M:[1.1029, 0.6914, 0.6543, 1.14, 0.86, 0.86], q:[0.5514, 0.3457], qb:[0.7943, 0.5143], phi:[0.4486]] | [X:[[3]], M:[[-2], [6], [-3], [7], [-7], [-7]], q:[[-1], [3]], qb:[[4], [-10]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.074 + 2*t^2.58 + t^2.691 + t^3.197 + t^3.309 + t^3.42 + t^3.926 + 2*t^4.037 + t^4.149 + t^4.431 + t^4.543 + 2*t^4.654 + 2*t^4.766 + 2*t^5.16 + 3*t^5.271 + 2*t^5.383 + 2*t^5.777 + 2*t^5.889 - t^6. + 3*t^6.111 + t^6.223 + t^6.394 + 2*t^6.506 + 4*t^6.617 + 2*t^6.729 + t^6.84 + 2*t^7.011 + 3*t^7.123 + 4*t^7.234 + 2*t^7.346 + 3*t^7.457 + t^7.628 + 3*t^7.74 + 4*t^7.851 + 3*t^7.963 - t^8.074 + 2*t^8.186 + t^8.297 + 3*t^8.357 + 4*t^8.469 - 2*t^8.58 + t^8.691 + 3*t^8.803 + t^8.863 + t^8.914 + 3*t^8.974 - t^4.346/y - t^6.42/y - t^6.926/y + (2*t^7.654)/y + (2*t^7.766)/y + t^8.16/y + (4*t^8.271)/y + t^8.383/y + (2*t^8.777)/y + (3*t^8.889)/y - t^4.346*y - t^6.42*y - t^6.926*y + 2*t^7.654*y + 2*t^7.766*y + t^8.16*y + 4*t^8.271*y + t^8.383*y + 2*t^8.777*y + 3*t^8.889*y | g1^6*t^2.074 + (2*t^2.58)/g1^7 + g1^2*t^2.691 + t^3.197/g1^11 + t^3.309/g1^2 + g1^7*t^3.42 + t^3.926/g1^6 + 2*g1^3*t^4.037 + g1^12*t^4.149 + t^4.431/g1^19 + t^4.543/g1^10 + (2*t^4.654)/g1 + 2*g1^8*t^4.766 + (2*t^5.16)/g1^14 + (3*t^5.271)/g1^5 + 2*g1^4*t^5.383 + (2*t^5.777)/g1^18 + (2*t^5.889)/g1^9 - t^6. + 3*g1^9*t^6.111 + g1^18*t^6.223 + t^6.394/g1^22 + (2*t^6.506)/g1^13 + (4*t^6.617)/g1^4 + 2*g1^5*t^6.729 + g1^14*t^6.84 + (2*t^7.011)/g1^26 + (3*t^7.123)/g1^17 + (4*t^7.234)/g1^8 + 2*g1*t^7.346 + 3*g1^10*t^7.457 + t^7.628/g1^30 + (3*t^7.74)/g1^21 + (4*t^7.851)/g1^12 + (3*t^7.963)/g1^3 - g1^6*t^8.074 + 2*g1^15*t^8.186 + g1^24*t^8.297 + (3*t^8.357)/g1^25 + (4*t^8.469)/g1^16 - (2*t^8.58)/g1^7 + g1^2*t^8.691 + 3*g1^11*t^8.803 + t^8.863/g1^38 + g1^20*t^8.914 + (3*t^8.974)/g1^29 - (g1*t^4.346)/y - (g1^7*t^6.42)/y - t^6.926/(g1^6*y) + (2*t^7.654)/(g1*y) + (2*g1^8*t^7.766)/y + t^8.16/(g1^14*y) + (4*t^8.271)/(g1^5*y) + (g1^4*t^8.383)/y + (2*t^8.777)/(g1^18*y) + (3*t^8.889)/(g1^9*y) - g1*t^4.346*y - g1^7*t^6.42*y - (t^6.926*y)/g1^6 + (2*t^7.654*y)/g1 + 2*g1^8*t^7.766*y + (t^8.16*y)/g1^14 + (4*t^8.271*y)/g1^5 + g1^4*t^8.383*y + (2*t^8.777*y)/g1^18 + (3*t^8.889*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
2586 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6679 | 0.8359 | 0.7991 | [X:[1.3435], M:[1.1043, 0.687, 0.6565, 1.1348, 0.8652, 0.8652, 0.8957], q:[0.5522, 0.3435], qb:[0.7913, 0.5217], phi:[0.4478]] | t^2.061 + 2*t^2.596 + 2*t^2.687 + t^3.222 + t^3.404 + t^3.939 + 2*t^4.03 + t^4.122 + t^4.474 + t^4.565 + 2*t^4.657 + 3*t^4.748 + 2*t^5.191 + 5*t^5.283 + 3*t^5.374 + 2*t^5.817 + t^5.909 - 2*t^6. - t^4.343/y - t^4.343*y | detail | |
2583 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ | 0.6469 | 0.7998 | 0.8088 | [X:[1.3381], M:[1.1079, 0.6763, 0.6619, 1.1223, 0.8777, 0.8777, 1.1223], q:[0.554, 0.3381], qb:[0.7842, 0.5395], phi:[0.446]] | t^2.029 + t^2.633 + t^2.676 + t^3.281 + t^3.324 + 2*t^3.367 + t^3.971 + 2*t^4.014 + t^4.058 + t^4.575 + t^4.619 + t^4.662 + 2*t^4.705 + 2*t^5.309 + 2*t^5.353 + t^5.396 + t^5.914 + t^5.957 - t^6. - t^4.338/y - t^4.338*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0484, 0.8548, 0.8753, 1.0279, 0.9721, 0.6693], q:[0.5242, 0.4274], qb:[0.6005, 0.5446], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |