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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3805 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5746 | 0.7002 | 0.8206 | [X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [12]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.427 + t^2.891 + t^3.109 + 2*t^3.327 + t^3.545 + t^3.763 + t^3.981 + t^4.009 + t^4.227 + t^4.635 + t^4.853 + t^5.318 + t^5.536 + t^5.754 + t^5.972 - 2*t^6. + t^6.19 + t^6.218 - t^6.246 + t^6.408 + 2*t^6.436 - t^6.464 + 4*t^6.654 - t^6.682 + 2*t^6.872 + t^7.062 + 2*t^7.09 + t^7.28 + 2*t^7.308 + 2*t^7.526 + t^7.555 - t^7.583 + 2*t^7.744 + 3*t^7.962 + 2*t^8.18 + 2*t^8.398 - 2*t^8.427 + 2*t^8.616 - t^8.673 + t^8.701 + t^8.834 + 2*t^8.863 - 4*t^8.891 - t^4.336/y + t^7.009/y - t^7.664/y + t^8.318/y + t^8.536/y + (2*t^8.754)/y + t^8.972/y - t^4.336*y + t^7.009*y - t^7.664*y + t^8.318*y + t^8.536*y + 2*t^8.754*y + t^8.972*y | g1^34*t^2.427 + t^2.891/g1^4 + g1^4*t^3.109 + 2*g1^12*t^3.327 + g1^20*t^3.545 + g1^28*t^3.763 + g1^36*t^3.981 + t^4.009/g1^18 + t^4.227/g1^10 + g1^60*t^4.635 + g1^68*t^4.853 + g1^30*t^5.318 + g1^38*t^5.536 + g1^46*t^5.754 + g1^54*t^5.972 - 2*t^6. + g1^62*t^6.19 + g1^8*t^6.218 - t^6.246/g1^46 + g1^70*t^6.408 + 2*g1^16*t^6.436 - t^6.464/g1^38 + 4*g1^24*t^6.654 - t^6.682/g1^30 + 2*g1^32*t^6.872 + g1^94*t^7.062 + 2*g1^40*t^7.09 + g1^102*t^7.28 + 2*g1^48*t^7.308 + 2*g1^56*t^7.526 + g1^2*t^7.555 - t^7.583/g1^52 + 2*g1^64*t^7.744 + 3*g1^72*t^7.962 + 2*g1^80*t^8.18 + 2*g1^88*t^8.398 - 2*g1^34*t^8.427 + 2*g1^96*t^8.616 - t^8.673/g1^12 + t^8.701/g1^66 + g1^104*t^8.834 + 2*g1^50*t^8.863 - (4*t^8.891)/g1^4 - t^4.336/(g1^6*y) + t^7.009/(g1^18*y) - (g1^6*t^7.664)/y + (g1^30*t^8.318)/y + (g1^38*t^8.536)/y + (2*g1^46*t^8.754)/y + (g1^54*t^8.972)/y - (t^4.336*y)/g1^6 + (t^7.009*y)/g1^18 - g1^6*t^7.664*y + g1^30*t^8.318*y + g1^38*t^8.536*y + 2*g1^46*t^8.754*y + g1^54*t^8.972*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 |
---|---|---|---|---|---|---|---|---|
5402 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.5746 | 0.6996 | 0.8213 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 1.1852, 1.1111], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + t^5.333 + t^5.556 + t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 1117/1944, c: 170/243, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 32/27, M7: 10/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
5414 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}X_{1}$ | 0.5954 | 0.7414 | 0.8031 | [X:[1.3288], M:[0.6712, 1.1096, 0.8173, 1.0365, 0.9635, 1.1827, 1.1096, 0.6712], q:[0.7774, 0.5514], qb:[0.6313, 0.2591], phi:[0.4452]] | t^2.014 + t^2.432 + t^2.89 + t^3.11 + 2*t^3.329 + t^3.548 + t^3.767 + t^4.007 + t^4.027 + t^4.226 + t^4.445 + t^4.644 + t^4.863 + t^4.904 + t^5.123 + t^5.322 + 2*t^5.342 + t^5.541 + t^5.562 + t^5.76 + t^5.781 + t^5.979 - 2*t^6. - t^4.336/y - t^4.336*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 |
---|---|---|---|---|---|---|---|---|---|
3358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | t^2.48 + t^2.654 + t^2.885 + t^3.115 + t^3.346 + t^3.577 + t^3.807 + t^3.981 + t^4.038 + t^4.212 + t^4.73 + t^4.96 + t^5.134 + t^5.308 + t^5.365 + t^5.539 + t^5.595 + t^5.769 - t^6. - t^4.327/y - t^4.327*y | detail |