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 |
---|---|---|---|---|---|---|---|---|---|
56193 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6883 | 0.8798 | 0.7823 | [M:[0.8513, 1.2128, 0.7872, 0.7872, 0.7872, 0.9154, 0.7231], q:[0.7231, 0.4256], qb:[0.3615, 0.7872], phi:[0.4256]] | [M:[[-4], [-1], [1], [1], [1], [-9], [6]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.169 + 3*t^2.362 + 2*t^2.554 + t^2.746 + 2*t^3.446 + t^4.338 + 5*t^4.531 + 9*t^4.723 + 6*t^4.915 + 5*t^5.108 + 2*t^5.3 + t^5.492 + 3*t^5.615 + 5*t^5.808 - 2*t^6.192 - t^6.385 + t^6.508 + 5*t^6.7 + 14*t^6.892 + 16*t^7.085 + 12*t^7.277 + 12*t^7.469 + 9*t^7.662 + 3*t^7.785 + 5*t^7.854 + 9*t^7.977 + 2*t^8.046 + 7*t^8.169 + t^8.238 - 9*t^8.362 - 9*t^8.554 + t^8.677 - 8*t^8.746 + 5*t^8.869 - 4*t^8.938 - t^4.277/y - t^6.446/y - (2*t^6.638)/y - (2*t^6.831)/y - t^7.023/y + (4*t^7.531)/y + (7*t^7.723)/y + (9*t^7.915)/y + (5*t^8.108)/y + (2*t^8.3)/y + t^8.615/y + (4*t^8.808)/y - t^4.277*y - t^6.446*y - 2*t^6.638*y - 2*t^6.831*y - t^7.023*y + 4*t^7.531*y + 7*t^7.723*y + 9*t^7.915*y + 5*t^8.108*y + 2*t^8.3*y + t^8.615*y + 4*t^8.808*y | g1^6*t^2.169 + 3*g1*t^2.362 + (2*t^2.554)/g1^4 + t^2.746/g1^9 + 2*g1^4*t^3.446 + g1^12*t^4.338 + 5*g1^7*t^4.531 + 9*g1^2*t^4.723 + (6*t^4.915)/g1^3 + (5*t^5.108)/g1^8 + (2*t^5.3)/g1^13 + t^5.492/g1^18 + 3*g1^10*t^5.615 + 5*g1^5*t^5.808 - (2*t^6.192)/g1^5 - t^6.385/g1^10 + g1^18*t^6.508 + 5*g1^13*t^6.7 + 14*g1^8*t^6.892 + 16*g1^3*t^7.085 + (12*t^7.277)/g1^2 + (12*t^7.469)/g1^7 + (9*t^7.662)/g1^12 + 3*g1^16*t^7.785 + (5*t^7.854)/g1^17 + 9*g1^11*t^7.977 + (2*t^8.046)/g1^22 + 7*g1^6*t^8.169 + t^8.238/g1^27 - 9*g1*t^8.362 - (9*t^8.554)/g1^4 + g1^24*t^8.677 - (8*t^8.746)/g1^9 + 5*g1^19*t^8.869 - (4*t^8.938)/g1^14 - t^4.277/(g1^2*y) - (g1^4*t^6.446)/y - (2*t^6.638)/(g1*y) - (2*t^6.831)/(g1^6*y) - t^7.023/(g1^11*y) + (4*g1^7*t^7.531)/y + (7*g1^2*t^7.723)/y + (9*t^7.915)/(g1^3*y) + (5*t^8.108)/(g1^8*y) + (2*t^8.3)/(g1^13*y) + (g1^10*t^8.615)/y + (4*g1^5*t^8.808)/y - (t^4.277*y)/g1^2 - g1^4*t^6.446*y - (2*t^6.638*y)/g1 - (2*t^6.831*y)/g1^6 - (t^7.023*y)/g1^11 + 4*g1^7*t^7.531*y + 7*g1^2*t^7.723*y + (9*t^7.915*y)/g1^3 + (5*t^8.108*y)/g1^8 + (2*t^8.3*y)/g1^13 + g1^10*t^8.615*y + 4*g1^5*t^8.808*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 |
---|---|---|---|---|---|---|---|---|
58700 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7017 | 0.9024 | 0.7777 | [M:[0.8404, 1.2101, 0.7899, 0.7899, 0.7899, 0.891, 0.7394, 0.8404], q:[0.7394, 0.4202], qb:[0.3697, 0.7899], phi:[0.4202]] | t^2.218 + 3*t^2.37 + 3*t^2.521 + t^2.673 + t^3.479 + t^4.436 + 5*t^4.588 + 10*t^4.739 + 9*t^4.891 + 8*t^5.043 + 3*t^5.194 + t^5.346 + 2*t^5.697 + 2*t^5.848 - t^6. - t^4.261/y - t^4.261*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 |
---|---|---|---|---|---|---|---|---|---|
50974 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6685 | 0.8428 | 0.7932 | [M:[0.8435, 1.2109, 0.7891, 0.7891, 0.7891, 0.898], q:[0.7347, 0.4218], qb:[0.3673, 0.7891], phi:[0.4218]] | 3*t^2.367 + 2*t^2.531 + t^2.694 + 2*t^3.469 + t^3.796 + 2*t^4.571 + 7*t^4.735 + 5*t^4.898 + 5*t^5.061 + 2*t^5.224 + t^5.388 + t^5.673 + 5*t^5.837 - t^4.265/y - t^4.265*y | detail | {a: 5503/8232, c: 3469/4116, M1: 124/147, M2: 178/147, M3: 116/147, M4: 116/147, M5: 116/147, M6: 44/49, q1: 36/49, q2: 62/147, qb1: 18/49, qb2: 116/147, phi1: 62/147} |