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 |
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5024 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7199 | 0.9247 | 0.7785 | [X:[1.3831], M:[1.0, 0.787, 0.6169, 1.1701, 0.8299, 0.7662, 0.7234, 0.6805], q:[0.6065, 0.3935], qb:[0.7766, 0.4364], phi:[0.4468]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-1], [-12]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{8}^{2}$, ${ }X_{1}$, ${ }M_{7}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.042 + t^2.17 + t^2.299 + t^2.361 + t^2.49 + t^2.681 + t^3. + t^3.129 + t^3.51 + t^4.083 + t^4.149 + t^4.212 + 3*t^4.34 + t^4.403 + 2*t^4.469 + 2*t^4.531 + t^4.597 + 2*t^4.66 + 2*t^4.722 + t^4.788 + 2*t^4.851 + 3*t^4.979 + 2*t^5.042 + 3*t^5.17 + 2*t^5.299 + t^5.361 + t^5.427 + t^5.49 + t^5.552 + t^5.618 + 2*t^5.681 + 2*t^5.809 - t^6. + t^6.125 + t^6.191 + t^6.253 + t^6.257 + 3*t^6.382 + t^6.444 + t^6.448 + 4*t^6.51 + 2*t^6.573 + 4*t^6.639 + 3*t^6.701 + 2*t^6.764 + 2*t^6.768 + 3*t^6.83 + 3*t^6.892 + t^6.896 + 2*t^6.958 + 6*t^7.021 + 3*t^7.083 + t^7.087 + 4*t^7.149 + 4*t^7.212 + 3*t^7.278 + 5*t^7.34 + 2*t^7.403 + 5*t^7.469 + 3*t^7.531 + t^7.593 + 3*t^7.597 + 4*t^7.66 + 3*t^7.722 + t^7.726 + t^7.788 + 4*t^7.851 + t^7.917 + 3*t^7.979 + 3*t^8.108 + t^8.166 - 2*t^8.17 + t^8.232 + t^8.295 - t^8.299 - t^8.361 + 3*t^8.423 + t^8.427 + t^8.486 + 3*t^8.552 + t^8.556 + 2*t^8.614 + 3*t^8.681 + 3*t^8.743 + 2*t^8.747 + 2*t^8.805 + 3*t^8.809 + 3*t^8.871 + 3*t^8.934 + 5*t^8.938 - t^4.34/y - t^6.382/y - t^6.51/y - t^6.639/y - t^6.701/y - t^7.021/y + t^7.212/y + t^7.34/y + t^7.403/y + t^7.469/y + (2*t^7.531)/y + (3*t^7.66)/y + t^7.722/y + t^7.788/y + (2*t^7.851)/y + (2*t^7.979)/y + (3*t^8.042)/y + (4*t^8.17)/y + (3*t^8.299)/y + t^8.361/y - t^8.423/y + t^8.427/y + (2*t^8.49)/y + t^8.618/y - t^8.743/y + t^8.809/y - t^8.938/y - t^4.34*y - t^6.382*y - t^6.51*y - t^6.639*y - t^6.701*y - t^7.021*y + t^7.212*y + t^7.34*y + t^7.403*y + t^7.469*y + 2*t^7.531*y + 3*t^7.66*y + t^7.722*y + t^7.788*y + 2*t^7.851*y + 2*t^7.979*y + 3*t^8.042*y + 4*t^8.17*y + 3*t^8.299*y + t^8.361*y - t^8.423*y + t^8.427*y + 2*t^8.49*y + t^8.618*y - t^8.743*y + t^8.809*y - t^8.938*y | t^2.042/g1^12 + t^2.17/g1 + g1^10*t^2.299 + t^2.361/g1^8 + g1^3*t^2.49 + t^2.681/g1^4 + t^3. + g1^11*t^3.129 + t^3.51/g1^3 + t^4.083/g1^24 + g1^5*t^4.149 + t^4.212/g1^13 + (3*t^4.34)/g1^2 + t^4.403/g1^20 + 2*g1^9*t^4.469 + (2*t^4.531)/g1^9 + g1^20*t^4.597 + 2*g1^2*t^4.66 + (2*t^4.722)/g1^16 + g1^13*t^4.788 + (2*t^4.851)/g1^5 + 3*g1^6*t^4.979 + (2*t^5.042)/g1^12 + (3*t^5.17)/g1 + 2*g1^10*t^5.299 + t^5.361/g1^8 + g1^21*t^5.427 + g1^3*t^5.49 + t^5.552/g1^15 + g1^14*t^5.618 + (2*t^5.681)/g1^4 + 2*g1^7*t^5.809 - t^6. + t^6.125/g1^36 + t^6.191/g1^7 + t^6.253/g1^25 + g1^22*t^6.257 + (3*t^6.382)/g1^14 + t^6.444/g1^32 + g1^15*t^6.448 + (4*t^6.51)/g1^3 + (2*t^6.573)/g1^21 + 4*g1^8*t^6.639 + (3*t^6.701)/g1^10 + (2*t^6.764)/g1^28 + 2*g1^19*t^6.768 + 3*g1*t^6.83 + (3*t^6.892)/g1^17 + g1^30*t^6.896 + 2*g1^12*t^6.958 + (6*t^7.021)/g1^6 + (3*t^7.083)/g1^24 + g1^23*t^7.087 + 4*g1^5*t^7.149 + (4*t^7.212)/g1^13 + 3*g1^16*t^7.278 + (5*t^7.34)/g1^2 + (2*t^7.403)/g1^20 + 5*g1^9*t^7.469 + (3*t^7.531)/g1^9 + t^7.593/g1^27 + 3*g1^20*t^7.597 + 4*g1^2*t^7.66 + (3*t^7.722)/g1^16 + g1^31*t^7.726 + g1^13*t^7.788 + (4*t^7.851)/g1^5 + g1^24*t^7.917 + 3*g1^6*t^7.979 + 3*g1^17*t^8.108 + t^8.166/g1^48 - (2*t^8.17)/g1 + t^8.232/g1^19 + t^8.295/g1^37 - g1^10*t^8.299 - t^8.361/g1^8 + (3*t^8.423)/g1^26 + g1^21*t^8.427 + t^8.486/g1^44 + (3*t^8.552)/g1^15 + g1^32*t^8.556 + (2*t^8.614)/g1^33 + (3*t^8.681)/g1^4 + (3*t^8.743)/g1^22 + 2*g1^25*t^8.747 + (2*t^8.805)/g1^40 + 3*g1^7*t^8.809 + (3*t^8.871)/g1^11 + (3*t^8.934)/g1^29 + 5*g1^18*t^8.938 - t^4.34/(g1^2*y) - t^6.382/(g1^14*y) - t^6.51/(g1^3*y) - (g1^8*t^6.639)/y - t^6.701/(g1^10*y) - t^7.021/(g1^6*y) + t^7.212/(g1^13*y) + t^7.34/(g1^2*y) + t^7.403/(g1^20*y) + (g1^9*t^7.469)/y + (2*t^7.531)/(g1^9*y) + (3*g1^2*t^7.66)/y + t^7.722/(g1^16*y) + (g1^13*t^7.788)/y + (2*t^7.851)/(g1^5*y) + (2*g1^6*t^7.979)/y + (3*t^8.042)/(g1^12*y) + (4*t^8.17)/(g1*y) + (3*g1^10*t^8.299)/y + t^8.361/(g1^8*y) - t^8.423/(g1^26*y) + (g1^21*t^8.427)/y + (2*g1^3*t^8.49)/y + (g1^14*t^8.618)/y - t^8.743/(g1^22*y) + (g1^7*t^8.809)/y - (g1^18*t^8.938)/y - (t^4.34*y)/g1^2 - (t^6.382*y)/g1^14 - (t^6.51*y)/g1^3 - g1^8*t^6.639*y - (t^6.701*y)/g1^10 - (t^7.021*y)/g1^6 + (t^7.212*y)/g1^13 + (t^7.34*y)/g1^2 + (t^7.403*y)/g1^20 + g1^9*t^7.469*y + (2*t^7.531*y)/g1^9 + 3*g1^2*t^7.66*y + (t^7.722*y)/g1^16 + g1^13*t^7.788*y + (2*t^7.851*y)/g1^5 + 2*g1^6*t^7.979*y + (3*t^8.042*y)/g1^12 + (4*t^8.17*y)/g1 + 3*g1^10*t^8.299*y + (t^8.361*y)/g1^8 - (t^8.423*y)/g1^26 + g1^21*t^8.427*y + 2*g1^3*t^8.49*y + g1^14*t^8.618*y - (t^8.743*y)/g1^22 + g1^7*t^8.809*y - g1^18*t^8.938*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3155 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6991 | 0.8842 | 0.7907 | [X:[1.3811], M:[1.0, 0.7903, 0.6189, 1.1714, 0.8286, 0.7621, 0.7238], q:[0.6049, 0.3951], qb:[0.7762, 0.4335], phi:[0.4476]] | t^2.171 + t^2.286 + t^2.371 + t^2.486 + t^2.685 + t^3. + t^3.115 + t^3.514 + t^3.944 + t^4.143 + 2*t^4.343 + 2*t^4.458 + t^4.542 + t^4.573 + 2*t^4.657 + t^4.742 + t^4.772 + 2*t^4.857 + 3*t^4.972 + t^5.056 + 2*t^5.171 + 2*t^5.286 + t^5.371 + t^5.401 + t^5.486 + t^5.601 + 2*t^5.685 + 2*t^5.8 - t^6. - t^4.343/y - t^4.343*y | detail |