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 |
---|---|---|---|---|---|---|---|---|---|
853 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6006 | 0.7881 | 0.7621 | [M:[0.9263, 1.2212, 1.0737, 0.7788, 0.6844], q:[0.7316, 0.3422], qb:[0.3422, 0.4366], phi:[0.5369]] | [M:[[4], [-12], [-4], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1 | 2*t^2.053 + 2*t^2.336 + 3*t^3.221 + t^3.504 + 3*t^3.664 + t^3.947 + 3*t^4.106 + t^4.23 + 4*t^4.389 + 3*t^4.673 + 6*t^5.274 + 7*t^5.558 + 4*t^5.717 + 2*t^5.841 + t^6. + 4*t^6.159 + t^6.283 + 7*t^6.442 + 2*t^6.566 + 6*t^6.726 + 6*t^6.885 + 4*t^7.009 + 12*t^7.327 + 2*t^7.451 + 8*t^7.611 + t^7.734 + 5*t^7.77 + 9*t^7.894 - 3*t^8.053 + 4*t^8.177 + 5*t^8.212 - 4*t^8.336 + t^8.46 + 10*t^8.496 + t^8.619 + 10*t^8.779 + 3*t^8.903 + 7*t^8.938 - t^4.611/y - t^6.664/y + t^7.106/y + (5*t^7.389)/y + t^7.673/y - t^7.832/y + (6*t^8.274)/y + (9*t^8.558)/y + (5*t^8.717)/y + (2*t^8.841)/y - t^4.611*y - t^6.664*y + t^7.106*y + 5*t^7.389*y + t^7.673*y - t^7.832*y + 6*t^8.274*y + 9*t^8.558*y + 5*t^8.717*y + 2*t^8.841*y | (2*t^2.053)/g1^10 + 2*g1^12*t^2.336 + (3*t^3.221)/g1^4 + g1^18*t^3.504 + (3*t^3.664)/g1^12 + g1^10*t^3.947 + (3*t^4.106)/g1^20 + g1^32*t^4.23 + 4*g1^2*t^4.389 + 3*g1^24*t^4.673 + (6*t^5.274)/g1^14 + 7*g1^8*t^5.558 + (4*t^5.717)/g1^22 + 2*g1^30*t^5.841 + t^6. + (4*t^6.159)/g1^30 + g1^22*t^6.283 + (7*t^6.442)/g1^8 + 2*g1^44*t^6.566 + 6*g1^14*t^6.726 + (6*t^6.885)/g1^16 + 4*g1^36*t^7.009 + (12*t^7.327)/g1^24 + 2*g1^28*t^7.451 + (8*t^7.611)/g1^2 + g1^50*t^7.734 + (5*t^7.77)/g1^32 + 9*g1^20*t^7.894 - (3*t^8.053)/g1^10 + 4*g1^42*t^8.177 + (5*t^8.212)/g1^40 - 4*g1^12*t^8.336 + g1^64*t^8.46 + (10*t^8.496)/g1^18 + g1^34*t^8.619 + 10*g1^4*t^8.779 + 3*g1^56*t^8.903 + (7*t^8.938)/g1^26 - t^4.611/(g1^2*y) - t^6.664/(g1^12*y) + t^7.106/(g1^20*y) + (5*g1^2*t^7.389)/y + (g1^24*t^7.673)/y - t^7.832/(g1^6*y) + (6*t^8.274)/(g1^14*y) + (9*g1^8*t^8.558)/y + (5*t^8.717)/(g1^22*y) + (2*g1^30*t^8.841)/y - (t^4.611*y)/g1^2 - (t^6.664*y)/g1^12 + (t^7.106*y)/g1^20 + 5*g1^2*t^7.389*y + g1^24*t^7.673*y - (t^7.832*y)/g1^6 + (6*t^8.274*y)/g1^14 + 9*g1^8*t^8.558*y + (5*t^8.717*y)/g1^22 + 2*g1^30*t^8.841*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 |
---|---|---|---|---|---|---|---|---|
1346 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6214 | 0.8287 | 0.7498 | [M:[0.9268, 1.2197, 1.0732, 0.7803, 0.6831, 0.6831], q:[0.7317, 0.3416], qb:[0.3416, 0.4387], phi:[0.5366]] | 3*t^2.049 + 2*t^2.341 + 3*t^3.22 + t^3.511 + 3*t^3.659 + 6*t^4.099 + t^4.242 + 6*t^4.39 + 3*t^4.682 + 9*t^5.269 + 8*t^5.561 + 7*t^5.709 + 2*t^5.852 - t^6. - t^4.61/y - t^4.61*y | detail | |
2033 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.616 | 0.8158 | 0.7551 | [M:[0.9324, 1.2027, 1.0676, 0.7973, 0.6689, 0.804], q:[0.7331, 0.3344], qb:[0.3344, 0.4629], phi:[0.5338]] | 2*t^2.007 + 2*t^2.392 + t^2.412 + 3*t^3.203 + 3*t^3.608 + t^3.993 + 3*t^4.013 + t^4.379 + 4*t^4.399 + 2*t^4.419 + 3*t^4.784 + 2*t^4.804 + t^4.824 + 6*t^5.209 + 5*t^5.595 + 7*t^5.615 + t^6. - t^4.601/y - t^4.601*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 |
---|---|---|---|---|---|---|---|---|---|
543 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.5799 | 0.7477 | 0.7755 | [M:[0.9257, 1.223, 1.0743, 0.777], q:[0.7314, 0.3429], qb:[0.3429, 0.4341], phi:[0.5372]] | t^2.057 + 2*t^2.331 + 3*t^3.223 + t^3.497 + 3*t^3.669 + 2*t^3.943 + t^4.115 + t^4.216 + 2*t^4.389 + 3*t^4.662 + 3*t^5.28 + 6*t^5.554 + t^5.726 + 2*t^5.828 + t^6. - t^4.611/y - t^4.611*y | detail |