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 |
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57126 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7243 | 0.909 | 0.7968 | [M:[1.0224, 0.8878, 0.9327, 1.0673, 0.9327, 0.9776, 0.6684], q:[0.5561, 0.4214], qb:[0.5561, 0.5112], phi:[0.4888]] | [M:[[2], [-10], [-6], [6], [-6], [-2], [15]], q:[[5], [-7]], qb:[[5], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{5}q_{1}\tilde{q}_{2}$ | -4 | t^2.005 + t^2.663 + 2*t^2.798 + 3*t^2.933 + t^3.202 + t^4.01 + t^4.264 + 2*t^4.399 + t^4.534 + 3*t^4.668 + 5*t^4.803 + 3*t^4.938 + t^5.207 + t^5.327 + 2*t^5.461 + 4*t^5.596 + 5*t^5.731 + 5*t^5.865 - 4*t^6. + t^6.015 + t^6.404 + t^6.539 + 3*t^6.673 + 5*t^6.808 + t^6.928 + 3*t^6.943 + t^7.062 + 5*t^7.197 + t^7.212 + 7*t^7.332 + 4*t^7.466 + 10*t^7.601 + 10*t^7.736 + t^7.87 + t^7.99 - 3*t^8.005 + t^8.02 + 2*t^8.125 + 4*t^8.259 + 5*t^8.394 + t^8.409 + 6*t^8.529 + t^8.544 + 4*t^8.663 + 3*t^8.679 - t^8.798 + 5*t^8.813 - 14*t^8.933 + 3*t^8.948 - t^4.466/y - t^6.471/y - t^7.13/y - t^7.264/y - t^7.399/y + t^7.534/y + (2*t^7.668)/y + (3*t^7.803)/y + (3*t^7.938)/y + t^8.207/y + (3*t^8.461)/y - t^8.477/y + (4*t^8.596)/y + (6*t^8.731)/y + (4*t^8.865)/y - t^4.466*y - t^6.471*y - t^7.13*y - t^7.264*y - t^7.399*y + t^7.534*y + 2*t^7.668*y + 3*t^7.803*y + 3*t^7.938*y + t^8.207*y + 3*t^8.461*y - t^8.477*y + 4*t^8.596*y + 6*t^8.731*y + 4*t^8.865*y | g1^15*t^2.005 + t^2.663/g1^10 + (2*t^2.798)/g1^6 + (3*t^2.933)/g1^2 + g1^6*t^3.202 + g1^30*t^4.01 + t^4.264/g1^7 + (2*t^4.399)/g1^3 + g1*t^4.534 + 3*g1^5*t^4.668 + 5*g1^9*t^4.803 + 3*g1^13*t^4.938 + g1^21*t^5.207 + t^5.327/g1^20 + (2*t^5.461)/g1^16 + (4*t^5.596)/g1^12 + (5*t^5.731)/g1^8 + (5*t^5.865)/g1^4 - 4*t^6. + g1^45*t^6.015 + g1^12*t^6.404 + g1^16*t^6.539 + 3*g1^20*t^6.673 + 5*g1^24*t^6.808 + t^6.928/g1^17 + 3*g1^28*t^6.943 + t^7.062/g1^13 + (5*t^7.197)/g1^9 + g1^36*t^7.212 + (7*t^7.332)/g1^5 + (4*t^7.466)/g1 + 10*g1^3*t^7.601 + 10*g1^7*t^7.736 + g1^11*t^7.87 + t^7.99/g1^30 - 3*g1^15*t^8.005 + g1^60*t^8.02 + (2*t^8.125)/g1^26 + (4*t^8.259)/g1^22 + (5*t^8.394)/g1^18 + g1^27*t^8.409 + (6*t^8.529)/g1^14 + g1^31*t^8.544 + (4*t^8.663)/g1^10 + 3*g1^35*t^8.679 - t^8.798/g1^6 + 5*g1^39*t^8.813 - (14*t^8.933)/g1^2 + 3*g1^43*t^8.948 - t^4.466/(g1*y) - (g1^14*t^6.471)/y - t^7.13/(g1^11*y) - t^7.264/(g1^7*y) - t^7.399/(g1^3*y) + (g1*t^7.534)/y + (2*g1^5*t^7.668)/y + (3*g1^9*t^7.803)/y + (3*g1^13*t^7.938)/y + (g1^21*t^8.207)/y + (3*t^8.461)/(g1^16*y) - (g1^29*t^8.477)/y + (4*t^8.596)/(g1^12*y) + (6*t^8.731)/(g1^8*y) + (4*t^8.865)/(g1^4*y) - (t^4.466*y)/g1 - g1^14*t^6.471*y - (t^7.13*y)/g1^11 - (t^7.264*y)/g1^7 - (t^7.399*y)/g1^3 + g1*t^7.534*y + 2*g1^5*t^7.668*y + 3*g1^9*t^7.803*y + 3*g1^13*t^7.938*y + g1^21*t^8.207*y + (3*t^8.461*y)/g1^16 - g1^29*t^8.477*y + (4*t^8.596*y)/g1^12 + (6*t^8.731*y)/g1^8 + (4*t^8.865*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 |
---|---|---|---|---|---|---|---|---|
58885 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ | 0.6303 | 0.7887 | 0.7992 | [X:[1.3333], M:[1.0667, 0.6667, 0.8, 1.2, 0.8, 0.9333, 1.0], q:[0.6667, 0.2667], qb:[0.6667, 0.5333], phi:[0.4667]] | 2*t^2.4 + 3*t^2.8 + t^3. + t^3.6 + t^3.8 + t^4. + 2*t^4.2 + t^4.6 + t^4.8 + 2*t^5. + 5*t^5.2 + 5*t^5.4 + 4*t^5.6 + 3*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1891/3000, c: 1183/1500, X1: 4/3, M1: 16/15, M2: 2/3, M3: 4/5, M4: 6/5, M5: 4/5, M6: 14/15, M7: 1, q1: 2/3, q2: 4/15, qb1: 2/3, qb2: 8/15, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
55545 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.7035 | 0.8675 | 0.8109 | [M:[1.0226, 0.887, 0.9322, 1.0678, 0.9322, 0.9774], q:[0.5565, 0.4209], qb:[0.5565, 0.5113], phi:[0.4887]] | t^2.661 + 2*t^2.797 + 3*t^2.932 + t^3.203 + t^3.992 + t^4.263 + 2*t^4.398 + t^4.534 + 2*t^4.669 + 3*t^4.805 + t^5.322 + 2*t^5.458 + 4*t^5.593 + 5*t^5.729 + 5*t^5.864 - 4*t^6. - t^4.466/y - t^4.466*y | detail |