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 |
---|---|---|---|---|---|---|---|---|---|
46022 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.5452, 0.4548], qb:[0.5452, 0.7922], phi:[0.4157]] | [M:[[1, -7], [0, -14], [-1, 7]], q:[[-1, 14], [0, -7]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - 2*t^6.271 + 2*t^6.47 + t^6.705 + 4*t^6.741 + 2*t^6.976 + 5*t^7.012 + 2*t^7.247 + t^7.482 + 2*t^7.518 + 2*t^7.717 + 2*t^7.952 + 4*t^7.988 + t^8.187 + 2*t^8.223 + 3*t^8.259 + 4*t^8.53 - 3*t^8.729 + t^8.964 - t^4.247/y - t^6.741/y - t^6.976/y + t^7.518/y + t^7.753/y + t^8.223/y + (2*t^8.494)/y + (2*t^8.729)/y - t^4.247*y - t^6.741*y - t^6.976*y + t^7.518*y + t^7.753*y + t^8.223*y + 2*t^8.494*y + 2*t^8.729*y | t^2.494/g2^4 + t^2.729/g2^14 + (g1*t^3.)/g2^7 + (g2^7*t^3.)/g1 + t^3.741/g2^6 + t^3.976/g2^16 + g1*g2*t^4.012 + (g2^15*t^4.012)/g1 + (g1*t^4.247)/g2^9 + (g2^5*t^4.247)/g1 + (g1^2*t^4.518)/g2^2 + g2^12*t^4.518 + (g2^26*t^4.518)/g1^2 + t^4.988/g2^8 + t^5.223/g2^18 + t^5.458/g2^28 + (g1*t^5.494)/g2^11 + (g2^3*t^5.494)/g1 - 2*t^6. - g1*g2^7*t^6.271 - (g2^21*t^6.271)/g1 + (2*t^6.47)/g2^20 + t^6.705/g2^30 + (2*g1*t^6.741)/g2^13 + (2*g2*t^6.741)/g1 + (g1*t^6.976)/g2^23 + t^6.976/(g1*g2^9) + (2*g1^2*t^7.012)/g2^6 + g2^8*t^7.012 + (2*g2^22*t^7.012)/g1^2 + (g1^2*t^7.247)/g2^16 + (g2^12*t^7.247)/g1^2 + t^7.482/g2^12 + (g1^3*t^7.518)/g2^9 + (g2^33*t^7.518)/g1^3 + (2*t^7.717)/g2^22 + (2*t^7.952)/g2^32 + (2*g1*t^7.988)/g2^15 + (2*t^7.988)/(g1*g2) + t^8.187/g2^42 + (g1*t^8.223)/g2^25 + t^8.223/(g1*g2^11) + (g1^2*t^8.259)/g2^8 + g2^6*t^8.259 + (g2^20*t^8.259)/g1^2 + (g1^2*t^8.494)/g2^18 - (2*t^8.494)/g2^4 + (g2^10*t^8.494)/g1^2 + (g1^3*t^8.53)/g2 + g1*g2^13*t^8.53 + (g2^27*t^8.53)/g1 + (g2^41*t^8.53)/g1^3 - (3*t^8.729)/g2^14 + (g1^3*t^8.765)/g2^11 - g1*g2^3*t^8.765 - (g2^17*t^8.765)/g1 + (g2^31*t^8.765)/g1^3 + t^8.964/g2^24 - t^4.247/(g2^2*y) - t^6.741/(g2^6*y) - t^6.976/(g2^16*y) + (g2^12*t^7.518)/y + (g2^2*t^7.753)/y + t^8.223/(g2^18*y) + (g1*t^8.494)/(g2^11*y) + (g2^3*t^8.494)/(g1*y) + (g1*t^8.729)/(g2^21*y) + t^8.729/(g1*g2^7*y) - (t^4.247*y)/g2^2 - (t^6.741*y)/g2^6 - (t^6.976*y)/g2^16 + g2^12*t^7.518*y + g2^2*t^7.753*y + (t^8.223*y)/g2^18 + (g1*t^8.494*y)/g2^11 + (g2^3*t^8.494*y)/g1 + (g1*t^8.729*y)/g2^21 + (t^8.729*y)/(g1*g2^7) |
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 |
---|---|---|---|---|---|---|---|---|
46247 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.6707 | 0.8047 | 0.8336 | [M:[1.0, 1.0, 1.0], q:[0.5, 0.5], qb:[0.5, 0.7857], phi:[0.4286]] | t^2.571 + 3*t^3. + 3*t^3.857 + 6*t^4.286 + t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3681/5488, c: 276/343, M1: 1, M2: 1, M3: 1, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
46239 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.544, 0.456], qb:[0.544, 0.792], phi:[0.416]] | t^2.016 + t^2.496 + t^2.736 + 2*t^3. + t^3.744 + 2*t^4.008 + t^4.032 + 2*t^4.248 + 4*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + t^5.472 + 2*t^5.496 + t^5.76 - 2*t^6. - t^4.248/y - t^4.248*y | detail | |
46245 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6168 | 0.7552 | 0.8167 | [M:[0.8215, 0.7498, 1.1785], q:[0.8036, 0.3749], qb:[0.4467, 0.8036], phi:[0.3928]] | t^2.249 + t^2.357 + t^2.465 + t^3.428 + 2*t^3.535 + t^3.643 + t^3.751 + t^3.858 + t^4.499 + t^4.606 + 2*t^4.714 + 2*t^4.822 + t^4.929 + t^5.677 + 2*t^5.785 + 2*t^5.892 + t^6. - t^4.178/y - t^4.178*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 |
---|---|---|---|---|---|---|---|---|---|
45894 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.7047 | 0.8479 | 0.8312 | [M:[0.8283, 0.8283, 0.8283], q:[0.5858, 0.5858], qb:[0.5858, 0.8225], phi:[0.355]] | t^2.13 + 3*t^2.485 + 3*t^4.225 + t^4.26 + 6*t^4.58 + 3*t^4.615 + 6*t^4.97 - 9*t^6. - t^4.065/y - t^4.065*y | detail |