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 |
---|---|---|---|---|---|---|---|---|---|
659 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6883 | 0.8556 | 0.8045 | [M:[1.0, 1.1178, 0.9699, 0.6767, 0.7644], q:[0.7794, 0.4261], qb:[0.5739, 0.4561], phi:[0.4411]] | [M:[[0], [4], [-18], [6], [-8]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | t^2.03 + t^2.293 + t^2.647 + t^2.91 + t^3. + t^3.353 + t^3.617 + t^3.88 + 3*t^4.06 + 2*t^4.323 + t^4.414 + t^4.586 + t^4.677 + t^4.767 + 2*t^4.94 + t^5.03 + t^5.203 + 2*t^5.293 + t^5.383 + 2*t^5.647 + t^5.82 + 2*t^5.91 - t^6. + 2*t^6.09 + t^6.173 + t^6.263 + 3*t^6.353 + 2*t^6.526 + 2*t^6.617 + 3*t^6.707 + t^6.789 + t^6.797 + t^6.88 + 3*t^6.97 + 3*t^7.06 + 3*t^7.233 + t^7.323 + 2*t^7.414 + 2*t^7.496 + t^7.586 + 3*t^7.677 + t^7.759 + t^7.85 + 5*t^7.94 - 2*t^8.03 + t^8.113 + 4*t^8.12 + 3*t^8.203 - t^8.293 + 2*t^8.383 + t^8.466 + t^8.474 + 2*t^8.556 + 2*t^8.647 + t^8.729 + 3*t^8.82 + 3*t^8.827 - t^4.323/y - t^6.353/y - t^6.617/y - t^7.233/y + t^7.323/y + t^7.414/y + t^7.677/y + (2*t^7.94)/y + (2*t^8.03)/y + t^8.203/y + (2*t^8.293)/y + t^8.556/y + (2*t^8.647)/y + (2*t^8.91)/y - t^4.323*y - t^6.353*y - t^6.617*y - t^7.233*y + t^7.323*y + t^7.414*y + t^7.677*y + 2*t^7.94*y + 2*t^8.03*y + t^8.203*y + 2*t^8.293*y + t^8.556*y + 2*t^8.647*y + 2*t^8.91*y | g1^6*t^2.03 + t^2.293/g1^8 + t^2.647/g1^4 + t^2.91/g1^18 + t^3. + g1^4*t^3.353 + t^3.617/g1^10 + t^3.88/g1^24 + 3*g1^12*t^4.06 + (2*t^4.323)/g1^2 + g1^16*t^4.414 + t^4.586/g1^16 + g1^2*t^4.677 + g1^20*t^4.767 + (2*t^4.94)/g1^12 + g1^6*t^5.03 + t^5.203/g1^26 + (2*t^5.293)/g1^8 + g1^10*t^5.383 + (2*t^5.647)/g1^4 + t^5.82/g1^36 + (2*t^5.91)/g1^18 - t^6. + 2*g1^18*t^6.09 + t^6.173/g1^32 + t^6.263/g1^14 + 3*g1^4*t^6.353 + (2*t^6.526)/g1^28 + (2*t^6.617)/g1^10 + 3*g1^8*t^6.707 + t^6.789/g1^42 + g1^26*t^6.797 + t^6.88/g1^24 + (3*t^6.97)/g1^6 + 3*g1^12*t^7.06 + (3*t^7.233)/g1^20 + t^7.323/g1^2 + 2*g1^16*t^7.414 + (2*t^7.496)/g1^34 + t^7.586/g1^16 + 3*g1^2*t^7.677 + t^7.759/g1^48 + t^7.85/g1^30 + (5*t^7.94)/g1^12 - 2*g1^6*t^8.03 + t^8.113/g1^44 + 4*g1^24*t^8.12 + (3*t^8.203)/g1^26 - t^8.293/g1^8 + 2*g1^10*t^8.383 + t^8.466/g1^40 + g1^28*t^8.474 + (2*t^8.556)/g1^22 + (2*t^8.647)/g1^4 + t^8.729/g1^54 + (3*t^8.82)/g1^36 + 3*g1^32*t^8.827 - t^4.323/(g1^2*y) - (g1^4*t^6.353)/y - t^6.617/(g1^10*y) - t^7.233/(g1^20*y) + t^7.323/(g1^2*y) + (g1^16*t^7.414)/y + (g1^2*t^7.677)/y + (2*t^7.94)/(g1^12*y) + (2*g1^6*t^8.03)/y + t^8.203/(g1^26*y) + (2*t^8.293)/(g1^8*y) + t^8.556/(g1^22*y) + (2*t^8.647)/(g1^4*y) + (2*t^8.91)/(g1^18*y) - (t^4.323*y)/g1^2 - g1^4*t^6.353*y - (t^6.617*y)/g1^10 - (t^7.233*y)/g1^20 + (t^7.323*y)/g1^2 + g1^16*t^7.414*y + g1^2*t^7.677*y + (2*t^7.94*y)/g1^12 + 2*g1^6*t^8.03*y + (t^8.203*y)/g1^26 + (2*t^8.293*y)/g1^8 + (t^8.556*y)/g1^22 + (2*t^8.647*y)/g1^4 + (2*t^8.91*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
1050 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7088 | 0.8951 | 0.7919 | [M:[1.0, 1.1154, 0.9806, 0.6731, 0.7692, 0.6925], q:[0.7789, 0.4326], qb:[0.5674, 0.452], phi:[0.4423]] | t^2.019 + t^2.078 + t^2.307 + t^2.654 + t^2.942 + t^3. + t^3.346 + t^3.634 + 3*t^4.039 + t^4.097 + t^4.155 + 2*t^4.327 + 2*t^4.385 + t^4.615 + t^4.673 + 2*t^4.731 + 2*t^4.961 + 2*t^5.019 + t^5.078 + t^5.249 + 2*t^5.307 + t^5.366 + t^5.424 + 2*t^5.654 + t^5.712 + t^5.884 + t^5.942 - t^6. - t^4.327/y - t^4.327*y | detail | |
1049 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7054 | 0.8858 | 0.7964 | [M:[1.0, 1.1139, 0.9874, 0.6709, 0.7722, 0.7848], q:[0.7785, 0.4367], qb:[0.5633, 0.4494], phi:[0.443]] | t^2.013 + t^2.316 + t^2.354 + t^2.658 + t^2.962 + t^3. + t^3.342 + t^3.949 + 3*t^4.025 + 2*t^4.329 + 2*t^4.367 + t^4.633 + 2*t^4.671 + 2*t^4.709 + 2*t^4.975 + 2*t^5.013 + t^5.279 + 3*t^5.316 + 2*t^5.354 + t^5.658 + t^5.696 + t^5.924 + t^5.962 - t^6. - t^4.329/y - t^4.329*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 |
---|---|---|---|---|---|---|---|---|---|
410 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 0.67 | 0.8227 | 0.8144 | [M:[1.0, 1.115, 0.9824, 0.6725], q:[0.7788, 0.4337], qb:[0.5663, 0.4513], phi:[0.4425]] | t^2.018 + t^2.655 + t^2.947 + t^3. + t^3.345 + t^3.637 + t^3.69 + t^3.93 + 3*t^4.035 + t^4.327 + t^4.38 + t^4.673 + t^4.725 + t^4.965 + t^5.018 + t^5.31 + t^5.363 + t^5.655 + t^5.708 + t^5.895 + t^5.947 - t^6. - t^4.327/y - t^4.327*y | detail |