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 |
---|---|---|---|---|---|---|---|---|---|
1608 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6483 | 0.8111 | 0.7993 | [M:[1.1873, 1.2084, 0.7704, 0.8127, 0.8127, 0.8338, 0.7493], q:[0.8021, 0.4275], qb:[0.3852, 0.8021], phi:[0.3958]] | [M:[[-6], [4], [-14], [6], [6], [16], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{7}q_{1}q_{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.248 + t^2.311 + 2*t^2.438 + t^2.501 + t^3.562 + 2*t^3.625 + t^3.689 + t^4.496 + t^4.559 + t^4.623 + 2*t^4.686 + 3*t^4.749 + 2*t^4.813 + 3*t^4.876 + 2*t^4.939 + t^5.003 + t^5.81 + 2*t^5.873 + t^5.937 + 3*t^6.063 + 3*t^6.127 + t^6.19 + t^6.744 + t^6.807 + t^6.871 + 3*t^6.934 + 3*t^6.997 + 3*t^7.061 + 3*t^7.124 + 3*t^7.187 + 4*t^7.251 + 5*t^7.314 + 3*t^7.377 + 2*t^7.441 + t^7.504 + t^8.058 + 2*t^8.121 + t^8.185 + t^8.375 - t^8.438 + t^8.501 + 3*t^8.565 + 3*t^8.628 + t^8.691 + t^8.992 - t^4.187/y - t^6.435/y - t^6.499/y - t^6.625/y - t^6.689/y + t^7.559/y + (3*t^7.686)/y + (4*t^7.749)/y + t^7.813/y + (2*t^7.876)/y + (3*t^7.939)/y - t^8.683/y - t^8.747/y + (2*t^8.873)/y + t^8.937/y - t^4.187*y - t^6.435*y - t^6.499*y - t^6.625*y - t^6.689*y + t^7.559*y + 3*t^7.686*y + 4*t^7.749*y + t^7.813*y + 2*t^7.876*y + 3*t^7.939*y - t^8.683*y - t^8.747*y + 2*t^8.873*y + t^8.937*y | t^2.248/g1^24 + t^2.311/g1^14 + 2*g1^6*t^2.438 + g1^16*t^2.501 + t^3.562/g1^6 + 2*g1^4*t^3.625 + g1^14*t^3.689 + t^4.496/g1^48 + t^4.559/g1^38 + t^4.623/g1^28 + (2*t^4.686)/g1^18 + (3*t^4.749)/g1^8 + 2*g1^2*t^4.813 + 3*g1^12*t^4.876 + 2*g1^22*t^4.939 + g1^32*t^5.003 + t^5.81/g1^30 + (2*t^5.873)/g1^20 + t^5.937/g1^10 + 3*g1^10*t^6.063 + 3*g1^20*t^6.127 + g1^30*t^6.19 + t^6.744/g1^72 + t^6.807/g1^62 + t^6.871/g1^52 + (3*t^6.934)/g1^42 + (3*t^6.997)/g1^32 + (3*t^7.061)/g1^22 + (3*t^7.124)/g1^12 + (3*t^7.187)/g1^2 + 4*g1^8*t^7.251 + 5*g1^18*t^7.314 + 3*g1^28*t^7.377 + 2*g1^38*t^7.441 + g1^48*t^7.504 + t^8.058/g1^54 + (2*t^8.121)/g1^44 + t^8.185/g1^34 + t^8.375/g1^4 - g1^6*t^8.438 + g1^16*t^8.501 + 3*g1^26*t^8.565 + 3*g1^36*t^8.628 + g1^46*t^8.691 + t^8.992/g1^96 - t^4.187/(g1^2*y) - t^6.435/(g1^26*y) - t^6.499/(g1^16*y) - (g1^4*t^6.625)/y - (g1^14*t^6.689)/y + t^7.559/(g1^38*y) + (3*t^7.686)/(g1^18*y) + (4*t^7.749)/(g1^8*y) + (g1^2*t^7.813)/y + (2*g1^12*t^7.876)/y + (3*g1^22*t^7.939)/y - t^8.683/(g1^50*y) - t^8.747/(g1^40*y) + (2*t^8.873)/(g1^20*y) + t^8.937/(g1^10*y) - (t^4.187*y)/g1^2 - (t^6.435*y)/g1^26 - (t^6.499*y)/g1^16 - g1^4*t^6.625*y - g1^14*t^6.689*y + (t^7.559*y)/g1^38 + (3*t^7.686*y)/g1^18 + (4*t^7.749*y)/g1^8 + g1^2*t^7.813*y + 2*g1^12*t^7.876*y + 3*g1^22*t^7.939*y - (t^8.683*y)/g1^50 - (t^8.747*y)/g1^40 + (2*t^8.873*y)/g1^20 + (t^8.937*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 |
---|---|---|---|---|---|---|---|---|
3992 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ | 0.6641 | 0.8387 | 0.7918 | [M:[1.1901, 1.2066, 0.7768, 0.8099, 0.8099, 0.8265, 0.7602, 0.8099], q:[0.8017, 0.4216], qb:[0.3884, 0.8017], phi:[0.3967]] | t^2.281 + t^2.33 + 3*t^2.43 + t^2.48 + 2*t^3.62 + t^3.67 + t^4.561 + t^4.611 + t^4.661 + 3*t^4.71 + 4*t^4.76 + 2*t^4.81 + 6*t^4.86 + 3*t^4.909 + t^4.959 + t^5.901 + t^5.95 - 2*t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
1031 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6301 | 0.7794 | 0.8084 | [M:[1.1971, 1.202, 0.7931, 0.8029, 0.8029, 0.8078], q:[0.8005, 0.4064], qb:[0.3966, 0.8005], phi:[0.399]] | t^2.379 + 2*t^2.409 + t^2.424 + t^3.591 + 2*t^3.606 + t^3.621 + t^3.635 + t^4.759 + 2*t^4.788 + 2*t^4.803 + 3*t^4.818 + 2*t^4.832 + t^4.847 - t^4.197/y - t^4.197*y | detail |