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 |
---|---|---|---|---|---|---|---|---|---|
55050 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ | 0.6788 | 0.8484 | 0.8001 | [M:[1.1711, 1.0295, 0.8289, 0.7994, 0.7434, 1.0], q:[0.3997, 0.4292], qb:[0.5708, 0.7714], phi:[0.4572]] | [M:[[8], [-22], [-8], [14], [-12], [0]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -1 | t^2.23 + t^2.398 + t^2.487 + t^2.743 + t^3. + t^3.089 + t^3.513 + t^3.858 + t^3.947 + t^4.027 + t^4.283 + t^4.372 + t^4.46 + t^4.628 + t^4.717 + 2*t^4.796 + t^4.885 + 2*t^4.973 + t^5.142 + 2*t^5.23 + t^5.319 + t^5.398 + 2*t^5.487 + 2*t^5.743 + t^5.832 - t^6. + t^6.089 + 2*t^6.177 + 2*t^6.257 + t^6.345 + t^6.434 + t^6.513 + 2*t^6.602 + t^6.681 + 2*t^6.69 + t^6.77 + t^6.858 + 2*t^6.947 + 3*t^7.027 + t^7.036 + t^7.115 + 2*t^7.195 + t^7.204 + t^7.283 + 2*t^7.372 + 3*t^7.46 + 2*t^7.54 + t^7.549 + t^7.628 + 3*t^7.717 + t^7.796 + t^7.805 + 2*t^7.885 + t^7.894 + 3*t^7.973 + t^8.062 + t^8.23 + t^8.31 + 2*t^8.319 - 2*t^8.398 + 2*t^8.407 + t^8.487 + 2*t^8.575 + t^8.664 + t^8.743 + t^8.823 + 3*t^8.832 - t^8.911 + 4*t^8.92 - t^4.372/y - t^6.602/y - t^6.77/y - t^7.115/y + t^7.283/y - t^7.46/y + (2*t^7.628)/y + t^7.717/y + t^7.885/y + (2*t^7.973)/y + (2*t^8.142)/y + (2*t^8.23)/y + t^8.319/y + t^8.398/y + (2*t^8.487)/y + t^8.575/y + (2*t^8.743)/y + t^8.911/y - t^4.372*y - t^6.602*y - t^6.77*y - t^7.115*y + t^7.283*y - t^7.46*y + 2*t^7.628*y + t^7.717*y + t^7.885*y + 2*t^7.973*y + 2*t^8.142*y + 2*t^8.23*y + t^8.319*y + t^8.398*y + 2*t^8.487*y + t^8.575*y + 2*t^8.743*y + t^8.911*y | t^2.23/g1^12 + g1^14*t^2.398 + t^2.487/g1^8 + t^2.743/g1^4 + t^3. + t^3.089/g1^22 + g1^8*t^3.513 + t^3.858/g1^10 + t^3.947/g1^32 + g1^16*t^4.027 + g1^20*t^4.283 + t^4.372/g1^2 + t^4.46/g1^24 + g1^2*t^4.628 + t^4.717/g1^20 + 2*g1^28*t^4.796 + g1^6*t^4.885 + (2*t^4.973)/g1^16 + g1^10*t^5.142 + (2*t^5.23)/g1^12 + t^5.319/g1^34 + g1^14*t^5.398 + (2*t^5.487)/g1^8 + (2*t^5.743)/g1^4 + t^5.832/g1^26 - t^6. + t^6.089/g1^22 + (2*t^6.177)/g1^44 + 2*g1^4*t^6.257 + t^6.345/g1^18 + t^6.434/g1^40 + g1^8*t^6.513 + (2*t^6.602)/g1^14 + g1^34*t^6.681 + (2*t^6.69)/g1^36 + g1^12*t^6.77 + t^6.858/g1^10 + (2*t^6.947)/g1^32 + 3*g1^16*t^7.027 + t^7.036/g1^54 + t^7.115/g1^6 + 2*g1^42*t^7.195 + t^7.204/g1^28 + g1^20*t^7.283 + (2*t^7.372)/g1^2 + (3*t^7.46)/g1^24 + 2*g1^24*t^7.54 + t^7.549/g1^46 + g1^2*t^7.628 + (3*t^7.717)/g1^20 + g1^28*t^7.796 + t^7.805/g1^42 + 2*g1^6*t^7.885 + t^7.894/g1^64 + (3*t^7.973)/g1^16 + t^8.062/g1^38 + t^8.23/g1^12 + g1^36*t^8.31 + (2*t^8.319)/g1^34 - 2*g1^14*t^8.398 + (2*t^8.407)/g1^56 + t^8.487/g1^8 + (2*t^8.575)/g1^30 + t^8.664/g1^52 + t^8.743/g1^4 + g1^44*t^8.823 + (3*t^8.832)/g1^26 - g1^22*t^8.911 + (4*t^8.92)/g1^48 - t^4.372/(g1^2*y) - t^6.602/(g1^14*y) - (g1^12*t^6.77)/y - t^7.115/(g1^6*y) + (g1^20*t^7.283)/y - t^7.46/(g1^24*y) + (2*g1^2*t^7.628)/y + t^7.717/(g1^20*y) + (g1^6*t^7.885)/y + (2*t^7.973)/(g1^16*y) + (2*g1^10*t^8.142)/y + (2*t^8.23)/(g1^12*y) + t^8.319/(g1^34*y) + (g1^14*t^8.398)/y + (2*t^8.487)/(g1^8*y) + t^8.575/(g1^30*y) + (2*t^8.743)/(g1^4*y) + (g1^22*t^8.911)/y - (t^4.372*y)/g1^2 - (t^6.602*y)/g1^14 - g1^12*t^6.77*y - (t^7.115*y)/g1^6 + g1^20*t^7.283*y - (t^7.46*y)/g1^24 + 2*g1^2*t^7.628*y + (t^7.717*y)/g1^20 + g1^6*t^7.885*y + (2*t^7.973*y)/g1^16 + 2*g1^10*t^8.142*y + (2*t^8.23*y)/g1^12 + (t^8.319*y)/g1^34 + g1^14*t^8.398*y + (2*t^8.487*y)/g1^8 + (t^8.575*y)/g1^30 + (2*t^8.743*y)/g1^4 + g1^22*t^8.911*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 |
---|---|---|---|---|---|---|---|---|
56645 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{2}M_{5}$ | 0.6578 | 0.8232 | 0.799 | [M:[1.1176, 1.1765, 0.8824, 0.7059, 0.8235, 1.0], q:[0.3529, 0.5294], qb:[0.4706, 0.7647], phi:[0.4706]] | t^2.118 + t^2.471 + t^2.647 + t^2.824 + t^3. + t^3.353 + t^3.529 + t^3.706 + t^3.882 + t^4.059 + 2*t^4.235 + t^4.412 + 2*t^4.588 + t^4.765 + 2*t^4.941 + 2*t^5.118 + 2*t^5.294 + 2*t^5.471 + 2*t^5.647 + 2*t^5.824 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 51705/78608, c: 32355/39304, M1: 19/17, M2: 20/17, M3: 15/17, M4: 12/17, M5: 14/17, M6: 1, q1: 6/17, q2: 9/17, qb1: 8/17, qb2: 13/17, phi1: 8/17} |
56650 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.699 | 0.8865 | 0.7885 | [M:[1.1692, 1.0348, 0.8308, 0.796, 0.7463, 1.0, 0.7114], q:[0.398, 0.4328], qb:[0.5672, 0.7711], phi:[0.4577]] | t^2.134 + t^2.239 + t^2.388 + t^2.493 + t^2.746 + t^3. + t^3.104 + t^3.507 + t^3.97 + t^4.015 + 2*t^4.269 + 2*t^4.373 + t^4.478 + t^4.522 + 2*t^4.627 + t^4.731 + 2*t^4.776 + 2*t^4.881 + 2*t^4.985 + 2*t^5.134 + 3*t^5.239 + t^5.343 + t^5.388 + 2*t^5.493 + t^5.642 + 2*t^5.746 + t^5.851 - t^6. - t^4.373/y - t^4.373*y | detail | |
56651 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6995 | 0.8892 | 0.7867 | [M:[1.1695, 1.034, 0.8305, 0.7966, 0.7458, 1.0, 0.6778], q:[0.3983, 0.4323], qb:[0.5677, 0.7712], phi:[0.4576]] | t^2.034 + t^2.237 + t^2.39 + t^2.492 + t^2.746 + t^3. + t^3.102 + t^3.508 + t^3.865 + t^4.017 + t^4.067 + 2*t^4.271 + t^4.373 + t^4.423 + t^4.475 + t^4.525 + t^4.627 + t^4.729 + 3*t^4.779 + t^4.881 + 2*t^4.983 + t^5.034 + 2*t^5.135 + 2*t^5.237 + t^5.339 + t^5.39 + 2*t^5.492 + t^5.542 + 2*t^5.746 + t^5.848 + t^5.898 - t^6. - t^4.373/y - t^4.373*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 |
---|---|---|---|---|---|---|---|---|---|
46799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6851 | 0.8556 | 0.8007 | [M:[1.1631, 0.9791, 0.8369, 0.7612, 0.8037, 0.9034], q:[0.3806, 0.4563], qb:[0.6403, 0.7825], phi:[0.4351]] | t^2.284 + t^2.411 + t^2.511 + t^2.61 + t^2.71 + t^2.937 + t^3.489 + t^3.816 + t^4.043 + t^4.268 + t^4.368 + t^4.567 + t^4.595 + t^4.695 + t^4.794 + t^4.822 + t^4.894 + t^4.922 + t^4.994 + 2*t^5.021 + 2*t^5.121 + t^5.147 + 2*t^5.221 + t^5.321 + t^5.348 + t^5.42 + t^5.548 + t^5.647 + t^5.874 + t^5.9 - 2*t^6. - t^4.305/y - t^4.305*y | detail |