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 |
---|---|---|---|---|---|---|---|---|---|
3397 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ | 0.57 | 0.6947 | 0.8205 | [X:[1.2065, 1.406], M:[0.594, 1.0023, 0.7935, 0.8028, 1.1972, 0.9977], q:[0.9049, 0.5012], qb:[0.3016, 0.6961], phi:[0.3991]] | [X:[[28], [26]], M:[[-26], [10], [-28], [12], [-12], [-10]], q:[[21], [5]], qb:[[7], [-17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.394 + t^2.408 + t^2.993 + t^3.007 + t^3.592 + t^3.606 + t^3.62 + t^4.204 + t^4.218 + t^4.789 + 2*t^4.803 + t^4.817 + t^5.401 + t^5.415 + t^5.986 + 2*t^6.014 + t^6.028 + 2*t^6.613 + 2*t^6.626 + t^7.183 + t^7.197 + 2*t^7.211 + 2*t^7.225 + t^7.239 + t^7.81 + 2*t^7.824 + t^7.838 - t^8.394 + 3*t^8.422 + 2*t^8.436 - 2*t^8.993 - t^4.197/y - t^6.592/y + (2*t^7.803)/y + t^8.387/y + (2*t^8.401)/y + t^8.415/y - t^4.197*y - t^6.592*y + 2*t^7.803*y + t^8.387*y + 2*t^8.401*y + t^8.415*y | t^2.394/g1^8 + g1^12*t^2.408 + t^2.993/g1^10 + g1^10*t^3.007 + t^3.592/g1^12 + g1^8*t^3.606 + g1^28*t^3.62 + g1^6*t^4.204 + g1^26*t^4.218 + t^4.789/g1^16 + 2*g1^4*t^4.803 + g1^24*t^4.817 + g1^2*t^5.401 + g1^22*t^5.415 + t^5.986/g1^20 + 2*g1^20*t^6.014 + g1^40*t^6.028 + 2*g1^18*t^6.613 + 2*g1^38*t^6.626 + t^7.183/g1^24 + t^7.197/g1^4 + 2*g1^16*t^7.211 + 2*g1^36*t^7.225 + g1^56*t^7.239 + g1^14*t^7.81 + 2*g1^34*t^7.824 + g1^54*t^7.838 - t^8.394/g1^8 + 3*g1^32*t^8.422 + 2*g1^52*t^8.436 - (2*t^8.993)/g1^10 - t^4.197/(g1^4*y) - t^6.592/(g1^12*y) + (2*g1^4*t^7.803)/y + t^8.387/(g1^18*y) + (2*g1^2*t^8.401)/y + (g1^22*t^8.415)/y - (t^4.197*y)/g1^4 - (t^6.592*y)/g1^12 + 2*g1^4*t^7.803*y + (t^8.387*y)/g1^18 + 2*g1^2*t^8.401*y + g1^22*t^8.415*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 |
---|---|---|---|---|---|---|---|---|
3887 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ + ${ }M_{2}M_{7}$ | 0.5709 | 0.6949 | 0.8216 | [X:[1.2479, 1.4445], M:[0.5555, 1.0171, 0.7521, 0.8205, 1.1795, 0.9829, 0.9829], q:[0.9359, 0.5086], qb:[0.312, 0.6709], phi:[0.3932]] | t^2.359 + t^2.462 + 2*t^2.949 + t^3.538 + t^3.641 + t^3.744 + t^4.231 + t^4.333 + t^4.718 + 2*t^4.821 + t^4.923 + t^5.308 + t^5.41 + 3*t^5.897 - t^6. - t^4.179/y - t^4.179*y | detail | |
3888 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5868 | 0.7236 | 0.811 | [X:[1.2266, 1.4247], M:[0.5753, 1.0095, 0.7734, 0.8114, 1.1886, 0.9905, 0.7924], q:[0.92, 0.5048], qb:[0.3067, 0.6838], phi:[0.3962]] | 2*t^2.377 + t^2.434 + t^2.971 + t^3.029 + t^3.566 + t^3.68 + t^4.217 + t^4.274 + 3*t^4.754 + 3*t^4.811 + t^4.868 + t^5.349 + 2*t^5.406 + t^5.463 + 2*t^5.943 - t^6. - t^4.189/y - t^4.189*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 |
---|---|---|---|---|---|---|---|---|---|
2843 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.6572 | 0.8255 | 0.7962 | [X:[1.3361], M:[0.7369, 0.7854, 0.6639, 0.8583, 1.1417, 0.6882], q:[0.8704, 0.3927], qb:[0.4656, 0.749], phi:[0.3806]] | t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. - t^4.142/y - t^4.142*y | detail |