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 |
---|---|---|---|---|---|---|---|---|---|
48304 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ | 0.6474 | 0.8091 | 0.8001 | [M:[1.1909, 0.7638, 0.8091, 0.8241, 0.8091], q:[0.4121, 0.397], qb:[0.8241, 0.7789], phi:[0.397]] | [M:[[3], [12], [-3], [-8], [-3]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.291 + t^2.382 + 2*t^2.427 + t^2.472 + t^3.573 + t^3.618 + 2*t^3.663 + t^4.583 + t^4.673 + 2*t^4.718 + 2*t^4.764 + 3*t^4.809 + 4*t^4.854 + 2*t^4.9 + t^4.945 + t^5.864 + t^5.955 + 3*t^6.045 + 4*t^6.091 + 2*t^6.136 + t^6.874 + t^6.965 + 2*t^7.01 + 2*t^7.055 + 2*t^7.1 + 3*t^7.146 + 2*t^7.191 + 5*t^7.236 + 6*t^7.282 + 6*t^7.327 + 2*t^7.372 + t^7.417 + t^8.155 + t^8.246 - t^8.291 - t^8.337 - t^8.382 - t^8.427 + 2*t^8.472 + 6*t^8.518 + 4*t^8.563 + 2*t^8.608 - t^4.191/y - t^6.482/y - t^6.573/y - t^6.618/y - t^6.663/y + t^7.673/y + (3*t^7.718)/y + (2*t^7.764)/y + (3*t^7.809)/y + (2*t^7.854)/y + (3*t^7.9)/y - t^8.774/y + t^8.955/y - t^4.191*y - t^6.482*y - t^6.573*y - t^6.618*y - t^6.663*y + t^7.673*y + 3*t^7.718*y + 2*t^7.764*y + 3*t^7.809*y + 2*t^7.854*y + 3*t^7.9*y - t^8.774*y + t^8.955*y | g1^12*t^2.291 + g1^2*t^2.382 + (2*t^2.427)/g1^3 + t^2.472/g1^8 + g1^3*t^3.573 + t^3.618/g1^2 + (2*t^3.663)/g1^7 + g1^24*t^4.583 + g1^14*t^4.673 + 2*g1^9*t^4.718 + 2*g1^4*t^4.764 + (3*t^4.809)/g1 + (4*t^4.854)/g1^6 + (2*t^4.9)/g1^11 + t^4.945/g1^16 + g1^15*t^5.864 + g1^5*t^5.955 + (3*t^6.045)/g1^5 + (4*t^6.091)/g1^10 + (2*t^6.136)/g1^15 + g1^36*t^6.874 + g1^26*t^6.965 + 2*g1^21*t^7.01 + 2*g1^16*t^7.055 + 2*g1^11*t^7.1 + 3*g1^6*t^7.146 + 2*g1*t^7.191 + (5*t^7.236)/g1^4 + (6*t^7.282)/g1^9 + (6*t^7.327)/g1^14 + (2*t^7.372)/g1^19 + t^7.417/g1^24 + g1^27*t^8.155 + g1^17*t^8.246 - g1^12*t^8.291 - g1^7*t^8.337 - g1^2*t^8.382 - t^8.427/g1^3 + (2*t^8.472)/g1^8 + (6*t^8.518)/g1^13 + (4*t^8.563)/g1^18 + (2*t^8.608)/g1^23 - (g1*t^4.191)/y - (g1^13*t^6.482)/y - (g1^3*t^6.573)/y - t^6.618/(g1^2*y) - t^6.663/(g1^7*y) + (g1^14*t^7.673)/y + (3*g1^9*t^7.718)/y + (2*g1^4*t^7.764)/y + (3*t^7.809)/(g1*y) + (2*t^7.854)/(g1^6*y) + (3*t^7.9)/(g1^11*y) - (g1^25*t^8.774)/y + (g1^5*t^8.955)/y - g1*t^4.191*y - g1^13*t^6.482*y - g1^3*t^6.573*y - (t^6.618*y)/g1^2 - (t^6.663*y)/g1^7 + g1^14*t^7.673*y + 3*g1^9*t^7.718*y + 2*g1^4*t^7.764*y + (3*t^7.809*y)/g1 + (2*t^7.854*y)/g1^6 + (3*t^7.9*y)/g1^11 - g1^25*t^8.774*y + g1^5*t^8.955*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 |
---|---|---|---|---|---|---|---|---|
50898 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6634 | 0.8375 | 0.7921 | [M:[1.1939, 0.7755, 0.8061, 0.8163, 0.8061, 0.8061], q:[0.4082, 0.398], qb:[0.8163, 0.7857], phi:[0.398]] | t^2.327 + t^2.388 + 3*t^2.418 + t^2.449 + t^3.612 + 2*t^3.643 + t^4.653 + t^4.714 + 3*t^4.745 + 2*t^4.776 + 4*t^4.806 + 7*t^4.837 + 3*t^4.867 + t^4.898 - 2*t^6. - t^4.194/y - t^4.194*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 |
---|---|---|---|---|---|---|---|---|---|
46786 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6572 | 0.8255 | 0.7962 | [M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 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 |