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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2918 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6264 | 0.8129 | 0.7706 | [M:[0.9842, 1.0474, 1.0158, 0.9526, 0.7618, 0.7934], q:[0.7461, 0.2697], qb:[0.4605, 0.4921], phi:[0.5079]] | [M:[[4], [-12], [-4], [12], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0 | t^2.191 + 2*t^2.286 + t^2.38 + t^2.858 + 2*t^3.047 + t^3.142 + t^3.714 + t^3.809 + t^4.287 + 2*t^4.382 + 3*t^4.476 + 4*t^4.571 + 2*t^4.666 + t^4.76 + t^5.049 + 2*t^5.143 + 3*t^5.238 + 4*t^5.333 + 3*t^5.428 + t^5.522 + t^5.716 + t^5.905 + 3*t^6.095 + 3*t^6.189 + t^6.284 + t^6.478 + 3*t^6.572 + 3*t^6.667 + 5*t^6.762 + 7*t^6.857 + 4*t^6.951 + 2*t^7.046 + t^7.141 + t^7.145 + t^7.24 + 3*t^7.334 + 4*t^7.429 + 5*t^7.524 + 8*t^7.618 + 5*t^7.713 + 3*t^7.808 + t^7.903 + t^7.907 + 2*t^8.001 - 2*t^8.191 + 3*t^8.38 + 5*t^8.475 + 4*t^8.57 + 2*t^8.574 + t^8.664 + 2*t^8.669 + 4*t^8.763 + 2*t^8.858 + 2*t^8.953 - t^4.524/y - t^6.809/y - t^6.904/y + (3*t^7.476)/y + t^7.571/y + (2*t^7.666)/y + t^8.049/y + (3*t^8.143)/y + (4*t^8.238)/y + (5*t^8.333)/y + (4*t^8.428)/y + t^8.522/y + (3*t^8.905)/y - t^4.524*y - t^6.809*y - t^6.904*y + 3*t^7.476*y + t^7.571*y + 2*t^7.666*y + t^8.049*y + 3*t^8.143*y + 4*t^8.238*y + 5*t^8.333*y + 4*t^8.428*y + t^8.522*y + 3*t^8.905*y | g1^5*t^2.191 + (2*t^2.286)/g1^3 + t^2.38/g1^11 + g1^12*t^2.858 + (2*t^3.047)/g1^4 + t^3.142/g1^12 + g1^3*t^3.714 + t^3.809/g1^5 + g1^18*t^4.287 + 2*g1^10*t^4.382 + 3*g1^2*t^4.476 + (4*t^4.571)/g1^6 + (2*t^4.666)/g1^14 + t^4.76/g1^22 + g1^17*t^5.049 + 2*g1^9*t^5.143 + 3*g1*t^5.238 + (4*t^5.333)/g1^7 + (3*t^5.428)/g1^15 + t^5.522/g1^23 + g1^24*t^5.716 + g1^8*t^5.905 + (3*t^6.095)/g1^8 + (3*t^6.189)/g1^16 + t^6.284/g1^24 + g1^23*t^6.478 + 3*g1^15*t^6.572 + 3*g1^7*t^6.667 + (5*t^6.762)/g1 + (7*t^6.857)/g1^9 + (4*t^6.951)/g1^17 + (2*t^7.046)/g1^25 + t^7.141/g1^33 + g1^30*t^7.145 + g1^22*t^7.24 + 3*g1^14*t^7.334 + 4*g1^6*t^7.429 + (5*t^7.524)/g1^2 + (8*t^7.618)/g1^10 + (5*t^7.713)/g1^18 + (3*t^7.808)/g1^26 + t^7.903/g1^34 + g1^29*t^7.907 + 2*g1^21*t^8.001 - 2*g1^5*t^8.191 + (3*t^8.38)/g1^11 + (5*t^8.475)/g1^19 + (4*t^8.57)/g1^27 + 2*g1^36*t^8.574 + t^8.664/g1^35 + 2*g1^28*t^8.669 + 4*g1^20*t^8.763 + 2*g1^12*t^8.858 + 2*g1^4*t^8.953 - t^4.524/(g1^2*y) - t^6.809/(g1^5*y) - t^6.904/(g1^13*y) + (3*g1^2*t^7.476)/y + t^7.571/(g1^6*y) + (2*t^7.666)/(g1^14*y) + (g1^17*t^8.049)/y + (3*g1^9*t^8.143)/y + (4*g1*t^8.238)/y + (5*t^8.333)/(g1^7*y) + (4*t^8.428)/(g1^15*y) + t^8.522/(g1^23*y) + (3*g1^8*t^8.905)/y - (t^4.524*y)/g1^2 - (t^6.809*y)/g1^5 - (t^6.904*y)/g1^13 + 3*g1^2*t^7.476*y + (t^7.571*y)/g1^6 + (2*t^7.666*y)/g1^14 + g1^17*t^8.049*y + 3*g1^9*t^8.143*y + 4*g1*t^8.238*y + (5*t^8.333*y)/g1^7 + (4*t^8.428*y)/g1^15 + (t^8.522*y)/g1^23 + 3*g1^8*t^8.905*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 |
---|---|---|---|---|---|---|---|---|
3504 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.619 | 0.8038 | 0.7701 | [M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 5*t^4.696 + 4*t^4.957 + 5*t^5.217 + 4*t^5.478 + 4*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y | detail | {a: 15063/24334, c: 39119/48668, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
3505 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6327 | 0.8239 | 0.768 | [M:[0.9706, 1.0881, 1.0294, 0.9119, 0.772, 0.8307, 0.9119], q:[0.7427, 0.2867], qb:[0.4266, 0.4853], phi:[0.5147]] | t^2.14 + 2*t^2.316 + t^2.492 + 2*t^2.736 + 2*t^3.088 + t^3.684 + t^3.86 + t^4.104 + 2*t^4.28 + 3*t^4.456 + 4*t^4.632 + 2*t^4.808 + 2*t^4.876 + t^4.984 + 4*t^5.052 + 4*t^5.228 + 3*t^5.404 + 3*t^5.471 + t^5.58 + 3*t^5.824 - t^6. - t^4.544/y - t^4.544*y | detail | |
3506 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.645 | 0.8466 | 0.7619 | [M:[0.986, 1.042, 1.014, 0.958, 0.7605, 0.7885, 0.7605], q:[0.7465, 0.2675], qb:[0.465, 0.493], phi:[0.507]] | t^2.197 + 3*t^2.282 + t^2.366 + t^2.874 + 2*t^3.042 + t^3.126 + t^3.803 + t^4.311 + 2*t^4.395 + 4*t^4.479 + 7*t^4.563 + 3*t^4.647 + t^4.731 + t^5.071 + 3*t^5.155 + 3*t^5.239 + 6*t^5.324 + 4*t^5.408 + t^5.492 + t^5.748 - 2*t^6. - t^4.521/y - t^4.521*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 |
---|---|---|---|---|---|---|---|---|---|
1894 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6305 | 0.8225 | 0.7665 | [M:[0.9712, 1.0863, 1.0288, 0.9137, 0.7209, 0.7784], q:[0.7428, 0.286], qb:[0.4788, 0.4349], phi:[0.5144]] | 2*t^2.163 + t^2.294 + t^2.335 + t^2.741 + 2*t^3.086 + t^3.259 + t^3.533 + t^3.706 + t^4.153 + t^4.284 + 3*t^4.325 + t^4.416 + 2*t^4.457 + 2*t^4.498 + t^4.588 + t^4.629 + t^4.67 + 2*t^4.904 + t^5.035 + t^5.076 + 4*t^5.249 + 2*t^5.38 + 3*t^5.422 + t^5.482 + t^5.594 + 2*t^5.696 + 2*t^5.827 + 2*t^5.869 - 2*t^6. - t^4.543/y - t^4.543*y | detail |