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 |
---|---|---|---|---|---|---|---|---|---|
55974 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6728 | 0.8554 | 0.7865 | [M:[0.8638, 1.1885, 1.1362, 0.7593, 0.8115, 0.7538], q:[0.3796, 0.7565], qb:[0.4319, 0.4842], phi:[0.4869]] | [M:[[14], [10], [-14], [-34], [-10], [40]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.261 + t^2.278 + t^2.435 + t^2.591 + t^2.748 + t^2.922 + t^3.409 + t^3.565 + t^3.895 + 2*t^4.052 + t^4.209 + t^4.366 + t^4.523 + t^4.539 + t^4.556 + t^4.696 + t^4.712 + t^4.853 + 2*t^4.869 + t^5.01 + 2*t^5.026 + 3*t^5.183 + t^5.199 + t^5.34 + t^5.356 + t^5.497 + t^5.513 + 2*t^5.67 + t^5.827 + t^5.843 - t^6. + t^6.173 + 2*t^6.314 + 3*t^6.33 + t^6.471 + 3*t^6.487 + t^6.627 + 3*t^6.644 + t^6.784 + 4*t^6.801 + t^6.817 + t^6.833 + 3*t^6.957 + 2*t^6.974 + t^6.99 + 2*t^7.114 + t^7.131 + t^7.147 + t^7.271 + 2*t^7.288 + t^7.304 + 2*t^7.444 + 3*t^7.461 + t^7.477 + t^7.601 + 3*t^7.618 + t^7.634 + t^7.758 + 3*t^7.774 + 2*t^7.791 + 4*t^7.931 + 2*t^7.948 + 2*t^8.088 + 4*t^8.105 + t^8.245 + t^8.261 - 2*t^8.278 + 3*t^8.418 - 3*t^8.435 + t^8.451 + 3*t^8.575 - t^8.591 + 2*t^8.608 + 2*t^8.732 - t^8.748 + 3*t^8.765 + t^8.889 + t^8.905 + 2*t^8.922 - t^4.461/y - t^6.722/y - t^6.739/y - t^7.382/y + (2*t^7.539)/y + t^7.696/y + t^7.712/y + t^7.853/y + t^7.869/y + t^8.01/y + (2*t^8.026)/y + (3*t^8.183)/y + (2*t^8.199)/y + t^8.34/y + t^8.356/y + t^8.513/y + (2*t^8.67)/y + t^8.686/y + t^8.827/y + (2*t^8.843)/y - t^8.984/y - t^4.461*y - t^6.722*y - t^6.739*y - t^7.382*y + 2*t^7.539*y + t^7.696*y + t^7.712*y + t^7.853*y + t^7.869*y + t^8.01*y + 2*t^8.026*y + 3*t^8.183*y + 2*t^8.199*y + t^8.34*y + t^8.356*y + t^8.513*y + 2*t^8.67*y + t^8.686*y + t^8.827*y + 2*t^8.843*y - t^8.984*y | g1^40*t^2.261 + t^2.278/g1^34 + t^2.435/g1^10 + g1^14*t^2.591 + g1^38*t^2.748 + t^2.922/g1^12 + t^3.409/g1^14 + g1^10*t^3.565 + t^3.895/g1^16 + 2*g1^8*t^4.052 + g1^32*t^4.209 + g1^56*t^4.366 + g1^80*t^4.523 + g1^6*t^4.539 + t^4.556/g1^68 + g1^30*t^4.696 + t^4.712/g1^44 + g1^54*t^4.853 + (2*t^4.869)/g1^20 + g1^78*t^5.01 + 2*g1^4*t^5.026 + 3*g1^28*t^5.183 + t^5.199/g1^46 + g1^52*t^5.34 + t^5.356/g1^22 + g1^76*t^5.497 + g1^2*t^5.513 + 2*g1^26*t^5.67 + g1^50*t^5.827 + t^5.843/g1^24 - t^6. + t^6.173/g1^50 + 2*g1^48*t^6.314 + (3*t^6.33)/g1^26 + g1^72*t^6.471 + (3*t^6.487)/g1^2 + g1^96*t^6.627 + 3*g1^22*t^6.644 + g1^120*t^6.784 + 4*g1^46*t^6.801 + t^6.817/g1^28 + t^6.833/g1^102 + 3*g1^70*t^6.957 + (2*t^6.974)/g1^4 + t^6.99/g1^78 + 2*g1^94*t^7.114 + g1^20*t^7.131 + t^7.147/g1^54 + g1^118*t^7.271 + 2*g1^44*t^7.288 + t^7.304/g1^30 + 2*g1^68*t^7.444 + (3*t^7.461)/g1^6 + t^7.477/g1^80 + g1^92*t^7.601 + 3*g1^18*t^7.618 + t^7.634/g1^56 + g1^116*t^7.758 + 3*g1^42*t^7.774 + (2*t^7.791)/g1^32 + 4*g1^66*t^7.931 + (2*t^7.948)/g1^8 + 2*g1^90*t^8.088 + 4*g1^16*t^8.105 + g1^114*t^8.245 + g1^40*t^8.261 - (2*t^8.278)/g1^34 + 3*g1^64*t^8.418 - (3*t^8.435)/g1^10 + t^8.451/g1^84 + 3*g1^88*t^8.575 - g1^14*t^8.591 + (2*t^8.608)/g1^60 + 2*g1^112*t^8.732 - g1^38*t^8.748 + (3*t^8.765)/g1^36 + g1^136*t^8.889 + g1^62*t^8.905 + (2*t^8.922)/g1^12 - t^4.461/(g1^6*y) - (g1^34*t^6.722)/y - t^6.739/(g1^40*y) - t^7.382/(g1^18*y) + (2*g1^6*t^7.539)/y + (g1^30*t^7.696)/y + t^7.712/(g1^44*y) + (g1^54*t^7.853)/y + t^7.869/(g1^20*y) + (g1^78*t^8.01)/y + (2*g1^4*t^8.026)/y + (3*g1^28*t^8.183)/y + (2*t^8.199)/(g1^46*y) + (g1^52*t^8.34)/y + t^8.356/(g1^22*y) + (g1^2*t^8.513)/y + (2*g1^26*t^8.67)/y + t^8.686/(g1^48*y) + (g1^50*t^8.827)/y + (2*t^8.843)/(g1^24*y) - (g1^74*t^8.984)/y - (t^4.461*y)/g1^6 - g1^34*t^6.722*y - (t^6.739*y)/g1^40 - (t^7.382*y)/g1^18 + 2*g1^6*t^7.539*y + g1^30*t^7.696*y + (t^7.712*y)/g1^44 + g1^54*t^7.853*y + (t^7.869*y)/g1^20 + g1^78*t^8.01*y + 2*g1^4*t^8.026*y + 3*g1^28*t^8.183*y + (2*t^8.199*y)/g1^46 + g1^52*t^8.34*y + (t^8.356*y)/g1^22 + g1^2*t^8.513*y + 2*g1^26*t^8.67*y + (t^8.686*y)/g1^48 + g1^50*t^8.827*y + (2*t^8.843*y)/g1^24 - g1^74*t^8.984*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 |
---|---|---|---|---|---|---|---|---|
57804 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ | 0.5928 | 0.7335 | 0.8083 | [X:[1.45], M:[0.95, 1.25, 1.05, 0.55, 0.75, 1.0], q:[0.275, 0.775], qb:[0.475, 0.675], phi:[0.45]] | t^2.25 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.45 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.95 + t^5.1 + t^5.25 + t^5.4 + t^5.55 + 3*t^5.7 + 2*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 151767/256000, c: 187767/256000, X1: 29/20, M1: 19/20, M2: 5/4, M3: 21/20, M4: 11/20, M5: 3/4, M6: 1, q1: 11/40, q2: 31/40, qb1: 19/40, qb2: 27/40, phi1: 9/20} |
57753 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6934 | 0.8949 | 0.7748 | [M:[0.8627, 1.1877, 1.1373, 0.762, 0.8123, 0.7506, 0.7002], q:[0.381, 0.7563], qb:[0.4314, 0.4817], phi:[0.4874]] | t^2.101 + t^2.252 + t^2.286 + t^2.437 + t^2.588 + t^2.739 + t^2.924 + t^3.412 + t^3.563 + 2*t^4.05 + 2*t^4.201 + 2*t^4.353 + t^4.387 + t^4.504 + 2*t^4.538 + t^4.572 + 2*t^4.689 + t^4.723 + 2*t^4.84 + 2*t^4.874 + t^4.991 + 3*t^5.025 + 3*t^5.176 + t^5.21 + t^5.327 + t^5.361 + t^5.479 + 2*t^5.513 + 3*t^5.664 + t^5.815 + t^5.849 - t^6. - t^4.462/y - t^4.462*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 |
---|---|---|---|---|---|---|---|---|---|
48254 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6544 | 0.8218 | 0.7964 | [M:[0.872, 1.1943, 1.128, 0.7395, 0.8057], q:[0.3698, 0.7583], qb:[0.436, 0.5022], phi:[0.4834]] | t^2.219 + t^2.417 + t^2.616 + t^2.814 + t^2.901 + t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.463 + t^4.636 + 2*t^4.834 + 2*t^5.033 + t^5.119 + 2*t^5.232 + t^5.318 + t^5.43 + t^5.517 + t^5.629 + t^5.715 + t^5.801 + t^5.888 - t^6. - t^4.45/y - t^4.45*y | detail |