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 |
---|---|---|---|---|---|---|---|---|---|
2507 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ | 0.712 | 0.8818 | 0.8075 | [M:[1.0392, 0.8823, 1.0785, 0.8431, 1.0, 0.9215, 0.9215], q:[0.4412, 0.5196], qb:[0.4804, 0.6373], phi:[0.4804]] | [M:[[2], [-6], [4], [-8], [0], [-4], [-4]], q:[[-3], [1]], qb:[[-1], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.529 + t^2.647 + 2*t^2.765 + t^2.882 + t^3. + t^3.118 + t^4.088 + t^4.206 + 2*t^4.323 + t^4.441 + t^4.559 + t^4.677 + t^4.794 + t^4.912 + t^5.059 + t^5.176 + t^5.265 + 3*t^5.294 + 2*t^5.412 + 4*t^5.529 + 3*t^5.647 + 3*t^5.765 + t^5.882 - 2*t^6. - t^6.118 - t^6.235 - t^6.353 - t^6.471 - t^6.588 + t^6.617 + 2*t^6.735 + 4*t^6.853 + 5*t^6.97 + 6*t^7.088 + 5*t^7.206 + 4*t^7.323 + 2*t^7.441 + t^7.559 + t^7.588 + t^7.705 + 3*t^7.823 + 3*t^7.941 + 5*t^8.059 + 6*t^8.176 + 7*t^8.294 + 6*t^8.412 + 2*t^8.529 - 4*t^8.765 - 4*t^8.882 - t^4.441/y - t^6.97/y - t^7.088/y - t^7.206/y + t^7.677/y + t^7.794/y + t^7.912/y + t^8.176/y + (2*t^8.294)/y + (3*t^8.412)/y + (3*t^8.529)/y + (4*t^8.647)/y + (3*t^8.765)/y + (3*t^8.882)/y - t^4.441*y - t^6.97*y - t^7.088*y - t^7.206*y + t^7.677*y + t^7.794*y + t^7.912*y + t^8.176*y + 2*t^8.294*y + 3*t^8.412*y + 3*t^8.529*y + 4*t^8.647*y + 3*t^8.765*y + 3*t^8.882*y | t^2.529/g1^8 + t^2.647/g1^6 + (2*t^2.765)/g1^4 + t^2.882/g1^2 + t^3. + g1^2*t^3.118 + t^4.088/g1^7 + t^4.206/g1^5 + (2*t^4.323)/g1^3 + t^4.441/g1 + g1*t^4.559 + g1^3*t^4.677 + g1^5*t^4.794 + g1^7*t^4.912 + t^5.059/g1^16 + t^5.176/g1^14 + g1^13*t^5.265 + (3*t^5.294)/g1^12 + (2*t^5.412)/g1^10 + (4*t^5.529)/g1^8 + (3*t^5.647)/g1^6 + (3*t^5.765)/g1^4 + t^5.882/g1^2 - 2*t^6. - g1^2*t^6.118 - g1^4*t^6.235 - g1^6*t^6.353 - g1^8*t^6.471 - g1^10*t^6.588 + t^6.617/g1^15 + (2*t^6.735)/g1^13 + (4*t^6.853)/g1^11 + (5*t^6.97)/g1^9 + (6*t^7.088)/g1^7 + (5*t^7.206)/g1^5 + (4*t^7.323)/g1^3 + (2*t^7.441)/g1 + g1*t^7.559 + t^7.588/g1^24 + t^7.705/g1^22 + (3*t^7.823)/g1^20 + (3*t^7.941)/g1^18 + (5*t^8.059)/g1^16 + (6*t^8.176)/g1^14 + (7*t^8.294)/g1^12 + (6*t^8.412)/g1^10 + (2*t^8.529)/g1^8 - (4*t^8.765)/g1^4 - (4*t^8.882)/g1^2 - t^4.441/(g1*y) - t^6.97/(g1^9*y) - t^7.088/(g1^7*y) - t^7.206/(g1^5*y) + (g1^3*t^7.677)/y + (g1^5*t^7.794)/y + (g1^7*t^7.912)/y + t^8.176/(g1^14*y) + (2*t^8.294)/(g1^12*y) + (3*t^8.412)/(g1^10*y) + (3*t^8.529)/(g1^8*y) + (4*t^8.647)/(g1^6*y) + (3*t^8.765)/(g1^4*y) + (3*t^8.882)/(g1^2*y) - (t^4.441*y)/g1 - (t^6.97*y)/g1^9 - (t^7.088*y)/g1^7 - (t^7.206*y)/g1^5 + g1^3*t^7.677*y + g1^5*t^7.794*y + g1^7*t^7.912*y + (t^8.176*y)/g1^14 + (2*t^8.294*y)/g1^12 + (3*t^8.412*y)/g1^10 + (3*t^8.529*y)/g1^8 + (4*t^8.647*y)/g1^6 + (3*t^8.765*y)/g1^4 + (3*t^8.882*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
4549 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7158 | 0.8894 | 0.8049 | [M:[1.0426, 0.8722, 1.0852, 0.8296, 1.0, 0.9148, 0.9148, 0.9574], q:[0.4361, 0.5213], qb:[0.4787, 0.6491], phi:[0.4787]] | t^2.489 + t^2.617 + 2*t^2.744 + 2*t^2.872 + t^3. + t^4.053 + t^4.18 + 2*t^4.308 + t^4.436 + t^4.564 + t^4.692 + t^4.82 + t^4.947 + t^4.977 + t^5.105 + 3*t^5.233 + t^5.331 + 3*t^5.361 + 5*t^5.489 + 4*t^5.617 + 4*t^5.744 - 3*t^6. - t^4.436/y - t^4.436*y | detail | |
4548 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7085 | 0.8748 | 0.8099 | [M:[1.0358, 0.8925, 1.0716, 0.8567, 1.0, 0.9284, 0.9284, 1.0358], q:[0.4463, 0.5179], qb:[0.4821, 0.6254], phi:[0.4821]] | t^2.57 + t^2.678 + 2*t^2.785 + t^3. + 2*t^3.107 + t^4.124 + t^4.231 + 2*t^4.339 + t^4.446 + t^4.554 + t^4.661 + t^4.769 + t^4.876 + t^5.14 + t^5.198 + t^5.248 + 3*t^5.355 + t^5.463 + 3*t^5.57 + 2*t^5.678 + 3*t^5.785 + 2*t^5.893 - 3*t^6. - t^4.446/y - t^4.446*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 |
---|---|---|---|---|---|---|---|---|---|
1434 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.7054 | 0.8688 | 0.8119 | [M:[1.0326, 0.9023, 1.0652, 0.8697, 1.0, 0.9348], q:[0.4511, 0.5163], qb:[0.4837, 0.614], phi:[0.4837]] | t^2.609 + t^2.707 + t^2.805 + t^2.902 + t^3. + t^3.098 + t^3.195 + t^4.158 + t^4.256 + 2*t^4.353 + t^4.451 + t^4.549 + t^4.647 + t^4.744 + t^4.842 + t^5.135 + t^5.218 + t^5.316 + 2*t^5.414 + t^5.511 + 2*t^5.609 + 2*t^5.707 + 3*t^5.805 + t^5.902 - t^6. - t^4.451/y - t^4.451*y | detail |