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 |
---|---|---|---|---|---|---|---|---|---|
46239 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.544, 0.456], qb:[0.544, 0.792], phi:[0.416]] | [M:[[1, -7], [0, -14], [-1, 7], [0, 16]], q:[[-1, 14], [0, -7]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | t^2.016 + t^2.496 + t^2.736 + 2*t^3. + t^3.744 + 2*t^4.008 + t^4.032 + 2*t^4.248 + 4*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + t^5.472 + 2*t^5.496 + t^5.76 - 2*t^6. + 2*t^6.024 + t^6.048 + t^6.48 + 4*t^6.528 + 4*t^6.744 + t^6.768 + 6*t^7.008 + 2*t^7.032 + 3*t^7.248 + 2*t^7.488 + 4*t^7.512 + t^7.728 + t^7.776 + t^7.968 + 2*t^7.992 - 2*t^8.016 + 2*t^8.04 + t^8.064 + t^8.208 + 3*t^8.256 - 2*t^8.496 + 4*t^8.52 + 4*t^8.544 - 3*t^8.736 + 4*t^8.76 + t^8.784 - t^4.248/y - t^6.264/y - t^6.744/y - t^6.984/y + (2*t^7.512)/y + (2*t^7.752)/y + (2*t^8.016)/y + (2*t^8.232)/y - t^8.28/y + (2*t^8.496)/y + (2*t^8.736)/y - t^4.248*y - t^6.264*y - t^6.744*y - t^6.984*y + 2*t^7.512*y + 2*t^7.752*y + 2*t^8.016*y + 2*t^8.232*y - t^8.28*y + 2*t^8.496*y + 2*t^8.736*y | g2^16*t^2.016 + t^2.496/g2^4 + t^2.736/g2^14 + (g1*t^3.)/g2^7 + (g2^7*t^3.)/g1 + t^3.744/g2^6 + g1*g2*t^4.008 + (g2^15*t^4.008)/g1 + g2^32*t^4.032 + (g1*t^4.248)/g2^9 + (g2^5*t^4.248)/g1 + (g1^2*t^4.512)/g2^2 + 2*g2^12*t^4.512 + (g2^26*t^4.512)/g1^2 + g2^2*t^4.752 + t^4.992/g2^8 + g1*g2^9*t^5.016 + (g2^23*t^5.016)/g1 + t^5.232/g2^18 + t^5.472/g2^28 + (g1*t^5.496)/g2^11 + (g2^3*t^5.496)/g1 + g2^10*t^5.76 - 2*t^6. + g1*g2^17*t^6.024 + (g2^31*t^6.024)/g1 + g2^48*t^6.048 + t^6.48/g2^20 + g1^2*g2^14*t^6.528 + 2*g2^28*t^6.528 + (g2^42*t^6.528)/g1^2 + (2*g1*t^6.744)/g2^13 + (2*g2*t^6.744)/g1 + g2^18*t^6.768 + (2*g1^2*t^7.008)/g2^6 + 2*g2^8*t^7.008 + (2*g2^22*t^7.008)/g1^2 + g1*g2^25*t^7.032 + (g2^39*t^7.032)/g1 + (g1^2*t^7.248)/g2^16 + t^7.248/g2^2 + (g2^12*t^7.248)/g1^2 + (2*t^7.488)/g2^12 + (g1^3*t^7.512)/g2^9 + g1*g2^5*t^7.512 + (g2^19*t^7.512)/g1 + (g2^33*t^7.512)/g1^3 + t^7.728/g2^22 + g2^26*t^7.776 + t^7.968/g2^32 + (g1*t^7.992)/g2^15 + t^7.992/(g1*g2) - 2*g2^16*t^8.016 + g1*g2^33*t^8.04 + (g2^47*t^8.04)/g1 + g2^64*t^8.064 + t^8.208/g2^42 + (g1^2*t^8.256)/g2^8 + g2^6*t^8.256 + (g2^20*t^8.256)/g1^2 - (2*t^8.496)/g2^4 + (g1^3*t^8.52)/g2 + g1*g2^13*t^8.52 + (g2^27*t^8.52)/g1 + (g2^41*t^8.52)/g1^3 + g1^2*g2^30*t^8.544 + 2*g2^44*t^8.544 + (g2^58*t^8.544)/g1^2 - (3*t^8.736)/g2^14 + (g1^3*t^8.76)/g2^11 + g1*g2^3*t^8.76 + (g2^17*t^8.76)/g1 + (g2^31*t^8.76)/g1^3 + g2^34*t^8.784 - t^4.248/(g2^2*y) - (g2^14*t^6.264)/y - t^6.744/(g2^6*y) - t^6.984/(g2^16*y) + (2*g2^12*t^7.512)/y + (2*g2^2*t^7.752)/y + (g1*g2^9*t^8.016)/y + (g2^23*t^8.016)/(g1*y) + (2*t^8.232)/(g2^18*y) - (g2^30*t^8.28)/y + (g1*t^8.496)/(g2^11*y) + (g2^3*t^8.496)/(g1*y) + (g1*t^8.736)/(g2^21*y) + t^8.736/(g1*g2^7*y) - (t^4.248*y)/g2^2 - g2^14*t^6.264*y - (t^6.744*y)/g2^6 - (t^6.984*y)/g2^16 + 2*g2^12*t^7.512*y + 2*g2^2*t^7.752*y + g1*g2^9*t^8.016*y + (g2^23*t^8.016*y)/g1 + (2*t^8.232*y)/g2^18 - g2^30*t^8.28*y + (g1*t^8.496*y)/g2^11 + (g2^3*t^8.496*y)/g1 + (g1*t^8.736*y)/g2^21 + (t^8.736*y)/(g1*g2^7) |
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 |
---|---|---|---|---|---|---|---|---|
46655 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.512, 0.3659], qb:[0.7562, 0.8049], phi:[0.3903]] | t^2.195 + t^2.342 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.805 + t^3.951 + t^4.243 + t^4.391 + 2*t^4.537 + 2*t^4.683 + t^4.829 + 3*t^4.975 + 2*t^5.267 + 3*t^5.708 - t^6. - t^4.171/y - t^4.171*y | detail | |
46442 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6307 | 0.7795 | 0.809 | [M:[1.191, 0.779, 0.809, 0.824], q:[0.4195, 0.3895], qb:[0.8015, 0.8015], phi:[0.397]] | t^2.337 + t^2.382 + t^2.427 + t^2.472 + 2*t^3.573 + t^3.618 + t^3.663 + t^3.708 + t^4.674 + t^4.719 + 2*t^4.764 + 3*t^4.809 + 2*t^4.854 + t^4.899 + t^4.944 + t^5.91 + t^5.955 + t^6. - t^4.191/y - t^4.191*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 |
---|---|---|---|---|---|---|---|---|---|
46022 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.5452, 0.4548], qb:[0.5452, 0.7922], phi:[0.4157]] | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - t^4.247/y - t^4.247*y | detail |