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 |
---|---|---|---|---|---|---|---|---|---|
3241 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.5793 | 0.7341 | 0.7892 | [M:[0.9519, 1.1444, 1.0481, 0.8556, 1.1444], q:[0.738, 0.3102], qb:[0.4064, 0.4492], phi:[0.5241]] | [M:[[4], [-12], [-4], [12], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.15 + t^2.278 + 2*t^3.144 + 3*t^3.433 + t^3.561 + t^3.722 + t^3.85 + t^4.011 + t^4.139 + t^4.267 + t^4.299 + t^4.428 + t^4.556 + 2*t^5.294 + 2*t^5.422 + 2*t^5.583 + 2*t^5.711 + t^5.84 - 2*t^6. + t^6.16 + t^6.289 + t^6.449 + t^6.545 + 5*t^6.578 + t^6.706 + t^6.834 + 5*t^6.866 + 2*t^6.995 + 3*t^7.155 + 2*t^7.283 + 2*t^7.412 + 4*t^7.444 + 2*t^7.572 + 4*t^7.701 + 3*t^7.733 + t^7.829 + t^7.989 + t^8.021 + 2*t^8.118 - 2*t^8.15 - 2*t^8.278 + t^8.31 + t^8.406 + t^8.439 + t^8.535 + t^8.599 + 3*t^8.727 + t^8.823 + 2*t^8.856 + t^8.984 - t^4.572/y + t^7.139/y + (2*t^7.428)/y - t^7.717/y - t^8.005/y + (2*t^8.294)/y + (2*t^8.422)/y + (3*t^8.583)/y + (4*t^8.711)/y + t^8.84/y + t^8.872/y - t^4.572*y + t^7.139*y + 2*t^7.428*y - t^7.717*y - t^8.005*y + 2*t^8.294*y + 2*t^8.422*y + 3*t^8.583*y + 4*t^8.711*y + t^8.84*y + t^8.872*y | t^2.15/g1^18 + g1^20*t^2.278 + (2*t^3.144)/g1^4 + (3*t^3.433)/g1^12 + g1^26*t^3.561 + t^3.722/g1^20 + g1^18*t^3.85 + t^4.011/g1^28 + g1^10*t^4.139 + g1^48*t^4.267 + t^4.299/g1^36 + g1^2*t^4.428 + g1^40*t^4.556 + (2*t^5.294)/g1^22 + 2*g1^16*t^5.422 + (2*t^5.583)/g1^30 + 2*g1^8*t^5.711 + g1^46*t^5.84 - 2*t^6. + t^6.16/g1^46 + t^6.289/g1^8 + t^6.449/g1^54 + g1^68*t^6.545 + (5*t^6.578)/g1^16 + g1^22*t^6.706 + g1^60*t^6.834 + (5*t^6.866)/g1^24 + 2*g1^14*t^6.995 + (3*t^7.155)/g1^32 + 2*g1^6*t^7.283 + 2*g1^44*t^7.412 + (4*t^7.444)/g1^40 + (2*t^7.572)/g1^2 + 4*g1^36*t^7.701 + (3*t^7.733)/g1^48 + g1^74*t^7.829 + g1^28*t^7.989 + t^8.021/g1^56 + 2*g1^66*t^8.118 - (2*t^8.15)/g1^18 - 2*g1^20*t^8.278 + t^8.31/g1^64 + g1^58*t^8.406 + t^8.439/g1^26 + g1^96*t^8.535 + t^8.599/g1^72 + (3*t^8.727)/g1^34 + g1^88*t^8.823 + 2*g1^4*t^8.856 + g1^42*t^8.984 - t^4.572/(g1^2*y) + (g1^10*t^7.139)/y + (2*g1^2*t^7.428)/y - t^7.717/(g1^6*y) - t^8.005/(g1^14*y) + (2*t^8.294)/(g1^22*y) + (2*g1^16*t^8.422)/y + (3*t^8.583)/(g1^30*y) + (4*g1^8*t^8.711)/y + (g1^46*t^8.84)/y + t^8.872/(g1^38*y) - (t^4.572*y)/g1^2 + g1^10*t^7.139*y + 2*g1^2*t^7.428*y - (t^7.717*y)/g1^6 - (t^8.005*y)/g1^14 + (2*t^8.294*y)/g1^22 + 2*g1^16*t^8.422*y + (3*t^8.583*y)/g1^30 + 4*g1^8*t^8.711*y + g1^46*t^8.84*y + (t^8.872*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3663 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.5958 | 0.764 | 0.7799 | [M:[0.9557, 1.1329, 1.0443, 0.8671, 1.1329, 0.7879], q:[0.7389, 0.3054], qb:[0.394, 0.4732], phi:[0.5221]] | t^2.098 + t^2.336 + t^2.364 + 2*t^3.133 + 3*t^3.399 + t^3.664 + t^3.902 + t^3.93 + t^4.168 + t^4.196 + t^4.405 + t^4.434 + t^4.462 + t^4.671 + t^4.699 + t^4.728 + 2*t^5.231 + 2*t^5.468 + 4*t^5.497 + t^5.734 + 3*t^5.762 - 2*t^6. - t^4.566/y - t^4.566*y | detail | |
3661 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.5783 | 0.7332 | 0.7887 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.087 + t^2.348 + 2*t^3.13 + 3*t^3.391 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + t^4.696 + 2*t^5.217 + 4*t^5.478 + 2*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 112581/194672, c: 71367/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 26/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
2730 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.5923 | 0.7564 | 0.783 | [M:[0.9496, 1.1513, 1.0504, 0.8487], q:[0.7374, 0.313], qb:[0.4139, 0.4348], phi:[0.5252]] | t^2.181 + t^2.243 + t^2.546 + 2*t^3.151 + 2*t^3.454 + t^3.516 + t^3.757 + t^3.819 + t^4.059 + t^4.122 + t^4.184 + t^4.362 + t^4.424 + t^4.487 + t^4.727 + t^4.789 + t^5.092 + 2*t^5.332 + 2*t^5.395 + t^5.635 + 3*t^5.697 + t^5.76 - t^4.576/y - t^4.576*y | detail |