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 |
---|---|---|---|---|---|---|---|---|---|
1351 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6409 | 0.8444 | 0.759 | [M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | [M:[[4], [-12], [4], [12], [1], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$ | -5 | 4*t^2.212 + t^2.54 + 2*t^2.847 + t^3.46 + 2*t^3.481 + 3*t^4.116 + 10*t^4.423 + 4*t^4.751 + 8*t^5.058 + t^5.079 + 2*t^5.386 + 2*t^5.672 + 10*t^5.693 - 5*t^6. + 2*t^6.021 + 12*t^6.328 + 16*t^6.635 + 3*t^6.656 + t^6.921 - 2*t^6.942 + 16*t^6.963 - 2*t^7.249 + 15*t^7.27 + 4*t^7.291 - 5*t^7.577 + 12*t^7.598 + t^7.619 + 2*t^7.884 + 22*t^7.905 + 2*t^7.926 - 22*t^8.212 + 15*t^8.233 - 4*t^8.519 + 27*t^8.54 + 2*t^8.561 + 8*t^8.847 + 12*t^8.868 - t^4.577/y - (2*t^6.788)/y + (5*t^7.423)/y + t^7.73/y + (4*t^7.751)/y + (8*t^8.058)/y + (2*t^8.365)/y + (2*t^8.386)/y + (4*t^8.672)/y + (9*t^8.693)/y - t^4.577*y - 2*t^6.788*y + 5*t^7.423*y + t^7.73*y + 4*t^7.751*y + 8*t^8.058*y + 2*t^8.365*y + 2*t^8.386*y + 4*t^8.672*y + 9*t^8.693*y | 4*g1*t^2.212 + g1^12*t^2.54 + 2*g1^4*t^2.847 + t^3.46/g1^12 + 2*g1^7*t^3.481 + 3*g1^10*t^4.116 + 10*g1^2*t^4.423 + 4*g1^13*t^4.751 + 8*g1^5*t^5.058 + g1^24*t^5.079 + 2*g1^16*t^5.386 + (2*t^5.672)/g1^11 + 10*g1^8*t^5.693 - 5*t^6. + 2*g1^19*t^6.021 + 12*g1^11*t^6.328 + 16*g1^3*t^6.635 + 3*g1^22*t^6.656 + t^6.921/g1^24 - (2*t^6.942)/g1^5 + 16*g1^14*t^6.963 - (2*t^7.249)/g1^13 + 15*g1^6*t^7.27 + 4*g1^25*t^7.291 - (5*t^7.577)/g1^2 + 12*g1^17*t^7.598 + g1^36*t^7.619 + (2*t^7.884)/g1^10 + 22*g1^9*t^7.905 + 2*g1^28*t^7.926 - 22*g1*t^8.212 + 15*g1^20*t^8.233 - (4*t^8.519)/g1^7 + 27*g1^12*t^8.54 + 2*g1^31*t^8.561 + 8*g1^4*t^8.847 + 12*g1^23*t^8.868 - t^4.577/(g1^2*y) - (2*t^6.788)/(g1*y) + (5*g1^2*t^7.423)/y + t^7.73/(g1^6*y) + (4*g1^13*t^7.751)/y + (8*g1^5*t^8.058)/y + (2*t^8.365)/(g1^3*y) + (2*g1^16*t^8.386)/y + (4*t^8.672)/(g1^11*y) + (9*g1^8*t^8.693)/y - (t^4.577*y)/g1^2 - (2*t^6.788*y)/g1 + 5*g1^2*t^7.423*y + (t^7.73*y)/g1^6 + 4*g1^13*t^7.751*y + 8*g1^5*t^8.058*y + (2*t^8.365*y)/g1^3 + 2*g1^16*t^8.386*y + (4*t^8.672*y)/g1^11 + 9*g1^8*t^8.693*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 |
---|---|---|---|---|---|---|---|---|
2406 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.5389 | 0.7023 | 0.7673 | [M:[1.0769, 0.7692, 1.0769, 1.2308, 0.7692, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 5*t^2.308 + 2*t^3.231 + t^3.692 + 2*t^4.154 + 13*t^4.615 + 3*t^5.077 + 8*t^5.538 - 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 9471/17576, c: 1543/2197, M1: 14/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 10/13, M6: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
2407 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6554 | 0.8671 | 0.7559 | [M:[0.9578, 1.1265, 0.9578, 0.8735, 0.7395, 0.7395, 0.8238], q:[0.7395, 0.3027], qb:[0.4367, 0.4367], phi:[0.5211]] | 4*t^2.218 + t^2.471 + t^2.62 + 2*t^2.873 + t^3.38 + t^3.529 + 3*t^4.184 + 10*t^4.437 + 4*t^4.69 + 4*t^4.839 + t^4.943 + 9*t^5.092 + t^5.241 + 2*t^5.345 + 2*t^5.494 + 2*t^5.598 + 6*t^5.747 + t^5.851 - 4*t^6. - t^4.563/y - t^4.563*y | detail | |
2405 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | 0.6303 | 0.8462 | 0.7448 | [M:[0.9091, 1.2727, 0.9091, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 5*t^2.182 + 2*t^2.727 + 2*t^3.273 + 4*t^3.818 + 15*t^4.364 + 10*t^4.909 + 12*t^5.455 + 12*t^6. - t^4.636/y - t^4.636*y | detail | {a: 6711/10648, c: 4505/5324, M1: 10/11, M2: 14/11, M3: 10/11, M4: 8/11, M5: 8/11, M6: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
855 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6214 | 0.8083 | 0.7688 | [M:[0.9495, 1.1514, 0.9495, 0.8486, 0.7374], q:[0.7374, 0.3131], qb:[0.4243, 0.4243], phi:[0.5252]] | 3*t^2.212 + t^2.546 + 2*t^2.849 + t^3.454 + 2*t^3.485 + t^3.788 + 3*t^4.121 + 6*t^4.424 + 3*t^4.758 + 6*t^5.061 + t^5.091 + 2*t^5.394 + t^5.666 + 8*t^5.697 - 2*t^6. - t^4.576/y - t^4.576*y | detail |