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 |
---|---|---|---|---|---|---|---|---|---|
1209 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6301 | 0.7812 | 0.8066 | [M:[1.2032, 0.8075, 0.7968, 0.7968, 0.7914, 1.1925], q:[0.7995, 0.393], qb:[0.4038, 0.7995], phi:[0.4011]] | [M:[[-6], [-14], [6], [6], [16], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.374 + 2*t^2.39 + t^2.406 + t^3.561 + 2*t^3.577 + t^3.594 + t^3.61 + t^4.748 + 2*t^4.764 + 4*t^4.781 + 3*t^4.797 + t^4.813 + t^5.935 + 4*t^5.952 + 5*t^5.968 + 3*t^5.984 - t^6.016 - t^6.032 + 2*t^7.122 + 4*t^7.139 + 7*t^7.155 + 7*t^7.171 + 4*t^7.187 - t^7.219 - t^7.236 + t^8.31 + 4*t^8.326 + 8*t^8.342 + 9*t^8.358 + 3*t^8.374 - 3*t^8.39 - 5*t^8.406 - 4*t^8.423 - t^8.439 - t^4.203/y - t^6.577/y - t^6.594/y - t^6.61/y + (2*t^7.764)/y + (2*t^7.781)/y + (3*t^7.797)/y + t^7.813/y + t^7.829/y + t^8.935/y + (3*t^8.952)/y + (5*t^8.968)/y + (3*t^8.984)/y - t^4.203*y - t^6.577*y - t^6.594*y - t^6.61*y + 2*t^7.764*y + 2*t^7.781*y + 3*t^7.797*y + t^7.813*y + t^7.829*y + t^8.935*y + 3*t^8.952*y + 5*t^8.968*y + 3*t^8.984*y | g1^16*t^2.374 + 2*g1^6*t^2.39 + t^2.406/g1^4 + g1^24*t^3.561 + 2*g1^14*t^3.577 + g1^4*t^3.594 + t^3.61/g1^6 + g1^32*t^4.748 + 2*g1^22*t^4.764 + 4*g1^12*t^4.781 + 3*g1^2*t^4.797 + t^4.813/g1^8 + g1^40*t^5.935 + 4*g1^30*t^5.952 + 5*g1^20*t^5.968 + 3*g1^10*t^5.984 - t^6.016/g1^10 - t^6.032/g1^20 + 2*g1^48*t^7.122 + 4*g1^38*t^7.139 + 7*g1^28*t^7.155 + 7*g1^18*t^7.171 + 4*g1^8*t^7.187 - t^7.219/g1^12 - t^7.236/g1^22 + g1^56*t^8.31 + 4*g1^46*t^8.326 + 8*g1^36*t^8.342 + 9*g1^26*t^8.358 + 3*g1^16*t^8.374 - 3*g1^6*t^8.39 - (5*t^8.406)/g1^4 - (4*t^8.423)/g1^14 - t^8.439/g1^24 - t^4.203/(g1^2*y) - (g1^14*t^6.577)/y - (g1^4*t^6.594)/y - t^6.61/(g1^6*y) + (2*g1^22*t^7.764)/y + (2*g1^12*t^7.781)/y + (3*g1^2*t^7.797)/y + t^7.813/(g1^8*y) + t^7.829/(g1^18*y) + (g1^40*t^8.935)/y + (3*g1^30*t^8.952)/y + (5*g1^20*t^8.968)/y + (3*g1^10*t^8.984)/y - (t^4.203*y)/g1^2 - g1^14*t^6.577*y - g1^4*t^6.594*y - (t^6.61*y)/g1^6 + 2*g1^22*t^7.764*y + 2*g1^12*t^7.781*y + 3*g1^2*t^7.797*y + (t^7.813*y)/g1^8 + (t^7.829*y)/g1^18 + g1^40*t^8.935*y + 3*g1^30*t^8.952*y + 5*g1^20*t^8.968*y + 3*g1^10*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 |
---|---|---|---|---|---|---|---|---|
2264 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6469 | 0.8121 | 0.7965 | [M:[1.2069, 0.8161, 0.7931, 0.7931, 0.7816, 1.1839, 0.7931], q:[0.7988, 0.385], qb:[0.4081, 0.7988], phi:[0.4023]] | t^2.345 + 3*t^2.379 + t^2.414 + t^3.517 + 2*t^3.552 + t^3.586 + t^4.69 + 3*t^4.724 + 7*t^4.759 + 4*t^4.793 + t^4.828 + t^5.862 + 5*t^5.896 + 7*t^5.931 + 3*t^5.965 - 2*t^6. - t^4.207/y - t^4.207*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 |
---|---|---|---|---|---|---|---|---|---|
737 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6467 | 0.8082 | 0.8002 | [M:[1.1947, 0.7877, 0.8053, 0.8053, 0.814], q:[0.8009, 0.4114], qb:[0.3939, 0.8009], phi:[0.3982]] | t^2.363 + t^2.389 + 2*t^2.416 + t^2.442 + t^3.584 + t^3.611 + t^3.637 + t^3.663 + t^4.726 + t^4.753 + 3*t^4.779 + 4*t^4.805 + 4*t^4.832 + 2*t^4.858 + t^4.884 + t^6. - t^4.195/y - t^4.195*y | detail |