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 |
---|---|---|---|---|---|---|---|---|---|
1385 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.7042 | 0.8689 | 0.8105 | [M:[0.9263, 1.0246, 1.0737, 0.8772, 0.9263, 0.9754], q:[0.4632, 0.6105], qb:[0.4632, 0.5123], phi:[0.4877]] | [M:[[-6], [2], [6], [-10], [-6], [-2]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -4 | t^2.632 + 2*t^2.779 + 3*t^2.926 + t^3.221 + 3*t^4.242 + 2*t^4.39 + t^4.537 + 2*t^4.684 + t^4.831 + t^5.126 + t^5.263 + 2*t^5.411 + 4*t^5.558 + 5*t^5.705 + 5*t^5.853 - 4*t^6. - t^6.295 - t^6.442 + 3*t^6.874 + 6*t^7.021 + 11*t^7.169 + 4*t^7.316 + 2*t^7.463 + 2*t^7.61 + t^7.895 + 2*t^8.042 + 2*t^8.052 + 4*t^8.19 - t^8.2 + 6*t^8.337 + t^8.347 + 12*t^8.484 + 6*t^8.632 - t^8.779 - 11*t^8.926 - t^4.463/y - t^7.095/y - t^7.242/y - t^7.39/y + t^7.537/y + t^7.684/y + t^7.831/y + (2*t^8.411)/y + (4*t^8.558)/y + (6*t^8.705)/y + (4*t^8.853)/y - t^4.463*y - t^7.095*y - t^7.242*y - t^7.39*y + t^7.537*y + t^7.684*y + t^7.831*y + 2*t^8.411*y + 4*t^8.558*y + 6*t^8.705*y + 4*t^8.853*y | t^2.632/g1^10 + (2*t^2.779)/g1^6 + (3*t^2.926)/g1^2 + g1^6*t^3.221 + (3*t^4.242)/g1^7 + (2*t^4.39)/g1^3 + g1*t^4.537 + 2*g1^5*t^4.684 + g1^9*t^4.831 + g1^17*t^5.126 + t^5.263/g1^20 + (2*t^5.411)/g1^16 + (4*t^5.558)/g1^12 + (5*t^5.705)/g1^8 + (5*t^5.853)/g1^4 - 4*t^6. - g1^8*t^6.295 - g1^12*t^6.442 + (3*t^6.874)/g1^17 + (6*t^7.021)/g1^13 + (11*t^7.169)/g1^9 + (4*t^7.316)/g1^5 + (2*t^7.463)/g1 + 2*g1^3*t^7.61 + t^7.895/g1^30 + (2*t^8.042)/g1^26 + 2*g1^15*t^8.052 + (4*t^8.19)/g1^22 - g1^19*t^8.2 + (6*t^8.337)/g1^18 + g1^23*t^8.347 + (12*t^8.484)/g1^14 + (6*t^8.632)/g1^10 - t^8.779/g1^6 - (11*t^8.926)/g1^2 - t^4.463/(g1*y) - t^7.095/(g1^11*y) - t^7.242/(g1^7*y) - t^7.39/(g1^3*y) + (g1*t^7.537)/y + (g1^5*t^7.684)/y + (g1^9*t^7.831)/y + (2*t^8.411)/(g1^16*y) + (4*t^8.558)/(g1^12*y) + (6*t^8.705)/(g1^8*y) + (4*t^8.853)/(g1^4*y) - (t^4.463*y)/g1 - (t^7.095*y)/g1^11 - (t^7.242*y)/g1^7 - (t^7.39*y)/g1^3 + g1*t^7.537*y + g1^5*t^7.684*y + g1^9*t^7.831*y + (2*t^8.411*y)/g1^16 + (4*t^8.558*y)/g1^12 + (6*t^8.705*y)/g1^8 + (4*t^8.853*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
2441 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6954 | 0.852 | 0.8161 | [M:[0.9581, 1.014, 1.0419, 0.9302, 0.9581, 0.986, 1.0698], q:[0.4791, 0.5628], qb:[0.4791, 0.507], phi:[0.493]] | 2*t^2.874 + 3*t^2.958 + t^3.126 + t^3.209 + 3*t^4.353 + 2*t^4.437 + t^4.521 + 2*t^4.605 + t^4.688 + t^4.856 + t^5.749 + 5*t^5.833 + 4*t^5.916 - 4*t^6. - t^4.479/y - t^4.479*y | detail | |
2437 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7118 | 0.8844 | 0.8049 | [M:[0.9078, 1.0307, 1.0922, 0.8463, 0.9078, 0.9693, 0.9078], q:[0.4539, 0.6383], qb:[0.4539, 0.5154], phi:[0.4846]] | t^2.539 + 3*t^2.723 + 3*t^2.908 + 3*t^4.177 + 2*t^4.362 + t^4.546 + 2*t^4.73 + t^4.915 + t^5.078 + 3*t^5.262 + t^5.284 + 7*t^5.447 + 8*t^5.631 + 4*t^5.816 - 6*t^6. - t^4.454/y - t^4.454*y | detail | |
2436 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6796 | 0.8561 | 0.7939 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.9412], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | t^2.118 + 2*t^2.471 + 3*t^2.824 + t^3.529 + 3*t^3.882 + 3*t^4.235 + 3*t^4.588 + 6*t^4.941 + 6*t^5.294 + 5*t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 3339/4913, c: 4206/4913, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 16/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
899 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.702 | 0.8645 | 0.812 | [M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | t^2.665 + 2*t^2.799 + 2*t^2.933 + t^3.067 + t^3.201 + 3*t^4.265 + 2*t^4.399 + t^4.534 + 2*t^4.668 + t^4.802 + t^5.07 + t^5.33 + 2*t^5.464 + 3*t^5.598 + 4*t^5.732 + 4*t^5.866 - 2*t^6. - t^4.466/y - t^4.466*y | detail |