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 |
---|---|---|---|---|---|---|---|---|---|
46860 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6548 | 0.8265 | 0.7923 | [M:[0.8275, 0.7357, 1.1725, 0.6898, 0.7816], q:[0.8046, 0.3679], qb:[0.4597, 0.8046], phi:[0.3908]] | [M:[[6], [-14], [-6], [-24], [-4]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.069 + t^2.207 + 2*t^2.345 + t^2.483 + t^3.38 + 2*t^3.517 + t^3.793 + t^4.139 + t^4.277 + 3*t^4.414 + 3*t^4.552 + 4*t^4.69 + 3*t^4.828 + t^4.965 + t^5.449 + 3*t^5.587 + 3*t^5.725 + 4*t^5.862 + t^6.208 + t^6.346 + 3*t^6.484 + 4*t^6.622 + 7*t^6.759 + 8*t^6.897 + 8*t^7.035 + 3*t^7.172 - 2*t^7.448 + t^7.518 + 3*t^7.656 + 4*t^7.794 + 7*t^7.932 + 4*t^8.069 + 3*t^8.207 + t^8.278 - 2*t^8.345 + t^8.415 - 4*t^8.483 + 3*t^8.553 - 3*t^8.62 + 4*t^8.691 - t^8.758 + 8*t^8.829 + 11*t^8.966 - t^4.172/y - t^6.242/y - t^6.38/y - (2*t^6.517)/y + t^7.277/y + (2*t^7.414)/y + (3*t^7.552)/y + (2*t^7.69)/y + (4*t^7.828)/y + t^7.965/y + t^8.103/y - t^8.311/y + (2*t^8.725)/y + (3*t^8.862)/y - t^4.172*y - t^6.242*y - t^6.38*y - 2*t^6.517*y + t^7.277*y + 2*t^7.414*y + 3*t^7.552*y + 2*t^7.69*y + 4*t^7.828*y + t^7.965*y + t^8.103*y - t^8.311*y + 2*t^8.725*y + 3*t^8.862*y | t^2.069/g1^24 + t^2.207/g1^14 + (2*t^2.345)/g1^4 + g1^6*t^2.483 + t^3.38/g1^16 + (2*t^3.517)/g1^6 + g1^14*t^3.793 + t^4.139/g1^48 + t^4.277/g1^38 + (3*t^4.414)/g1^28 + (3*t^4.552)/g1^18 + (4*t^4.69)/g1^8 + 3*g1^2*t^4.828 + g1^12*t^4.965 + t^5.449/g1^40 + (3*t^5.587)/g1^30 + (3*t^5.725)/g1^20 + (4*t^5.862)/g1^10 + t^6.208/g1^72 + t^6.346/g1^62 + (3*t^6.484)/g1^52 + (4*t^6.622)/g1^42 + (7*t^6.759)/g1^32 + (8*t^6.897)/g1^22 + (8*t^7.035)/g1^12 + (3*t^7.172)/g1^2 - 2*g1^18*t^7.448 + t^7.518/g1^64 + (3*t^7.656)/g1^54 + (4*t^7.794)/g1^44 + (7*t^7.932)/g1^34 + (4*t^8.069)/g1^24 + (3*t^8.207)/g1^14 + t^8.278/g1^96 - (2*t^8.345)/g1^4 + t^8.415/g1^86 - 4*g1^6*t^8.483 + (3*t^8.553)/g1^76 - 3*g1^16*t^8.62 + (4*t^8.691)/g1^66 - g1^26*t^8.758 + (8*t^8.829)/g1^56 + (11*t^8.966)/g1^46 - t^4.172/(g1^2*y) - t^6.242/(g1^26*y) - t^6.38/(g1^16*y) - (2*t^6.517)/(g1^6*y) + t^7.277/(g1^38*y) + (2*t^7.414)/(g1^28*y) + (3*t^7.552)/(g1^18*y) + (2*t^7.69)/(g1^8*y) + (4*g1^2*t^7.828)/y + (g1^12*t^7.965)/y + (g1^22*t^8.103)/y - t^8.311/(g1^50*y) + (2*t^8.725)/(g1^20*y) + (3*t^8.862)/(g1^10*y) - (t^4.172*y)/g1^2 - (t^6.242*y)/g1^26 - (t^6.38*y)/g1^16 - (2*t^6.517*y)/g1^6 + (t^7.277*y)/g1^38 + (2*t^7.414*y)/g1^28 + (3*t^7.552*y)/g1^18 + (2*t^7.69*y)/g1^8 + 4*g1^2*t^7.828*y + g1^12*t^7.965*y + g1^22*t^8.103*y - (t^8.311*y)/g1^50 + (2*t^8.725*y)/g1^20 + (3*t^8.862*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
55304 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.6354 | 0.7898 | 0.8045 | [M:[0.8235, 0.7451, 1.1765, 0.7059, 0.7843, 1.2549], q:[0.8039, 0.3725], qb:[0.451, 0.8039], phi:[0.3922]] | t^2.118 + 2*t^2.353 + t^2.471 + t^3.412 + 2*t^3.529 + 2*t^3.765 + t^4.235 + 2*t^4.471 + t^4.588 + 3*t^4.706 + 3*t^4.824 + t^4.941 + t^5.529 + 2*t^5.647 + t^5.765 + 5*t^5.882 - t^6. - t^4.176/y - t^4.176*y | detail | {a: 1469/2312, c: 913/1156, M1: 14/17, M2: 38/51, M3: 20/17, M4: 12/17, M5: 40/51, M6: 64/51, q1: 41/51, q2: 19/51, qb1: 23/51, qb2: 41/51, phi1: 20/51} |
55202 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ | 0.5941 | 0.7399 | 0.8029 | [M:[0.75, 0.9167, 1.25, 1.0, 0.8333], q:[0.7917, 0.4583], qb:[0.2917, 0.7917], phi:[0.4167]] | t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 3*t^5.5 + t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 1825/3072, c: 2273/3072, M1: 3/4, M2: 11/12, M3: 5/4, M4: 1, M5: 5/6, q1: 19/24, q2: 11/24, qb1: 7/24, qb2: 19/24, phi1: 5/12} |
55168 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.667 | 0.8452 | 0.7893 | [M:[0.8186, 0.7565, 1.1814, 0.7254, 0.7876, 0.8497], q:[0.8031, 0.3783], qb:[0.4404, 0.8031], phi:[0.3938]] | t^2.176 + t^2.27 + 2*t^2.363 + t^2.456 + t^2.549 + 2*t^3.544 + t^3.73 + t^4.353 + t^4.446 + 3*t^4.539 + 3*t^4.632 + 5*t^4.725 + 4*t^4.819 + 3*t^4.912 + t^5.005 + t^5.098 + 2*t^5.72 + t^5.814 + 3*t^5.907 - t^4.181/y - t^4.181*y | detail | |
55216 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6745 | 0.8642 | 0.7805 | [M:[0.8307, 0.7283, 1.1693, 0.677, 0.7795, 0.7283], q:[0.8051, 0.3641], qb:[0.4666, 0.8051], phi:[0.3898]] | t^2.031 + 2*t^2.185 + 2*t^2.339 + t^2.492 + t^3.354 + 2*t^3.508 + t^4.062 + 2*t^4.216 + 5*t^4.37 + 5*t^4.523 + 5*t^4.677 + 3*t^4.831 + t^4.984 + t^5.385 + 4*t^5.539 + 5*t^5.693 + 3*t^5.846 - t^6. - t^4.169/y - t^4.169*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 |
---|---|---|---|---|---|---|---|---|---|
46614 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6373 | 0.7949 | 0.8018 | [M:[0.826, 0.7394, 1.174, 0.6961], q:[0.8043, 0.3697], qb:[0.4563, 0.8043], phi:[0.3913]] | t^2.088 + t^2.218 + t^2.348 + t^2.478 + t^3.392 + 2*t^3.522 + t^3.652 + t^3.782 + t^4.177 + t^4.307 + 2*t^4.436 + 2*t^4.566 + 2*t^4.696 + 2*t^4.826 + t^4.956 + t^5.481 + 3*t^5.611 + 3*t^5.74 + 3*t^5.87 + t^6. - t^4.174/y - t^4.174*y | detail |