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 |
---|---|---|---|---|---|---|---|---|---|
56424 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6727 | 0.8545 | 0.7872 | [M:[1.1541, 0.7556, 0.8459, 0.7831, 1.2306, 0.7066, 0.8459, 0.6928], q:[0.3916, 0.4544], qb:[0.8528, 0.7625], phi:[0.3847]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [3, 3], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$ | ${}$ | -3 | t^2.079 + t^2.12 + t^2.267 + t^2.349 + 2*t^2.538 + t^3.503 + 2*t^3.692 + t^4.157 + t^4.198 + t^4.24 + t^4.345 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + 3*t^4.616 + 2*t^4.658 + t^4.699 + 2*t^4.805 + t^4.846 + 2*t^4.887 + 3*t^5.076 + t^5.582 + t^5.623 + 2*t^5.77 + t^5.812 + t^5.853 + t^5.959 - 3*t^6. + 3*t^6.041 - t^6.188 + 3*t^6.23 + t^6.236 + t^6.277 + t^6.318 + t^6.359 + t^6.424 + t^6.465 + 2*t^6.506 + t^6.548 + t^6.589 + t^6.612 + t^6.654 + 3*t^6.695 + 3*t^6.736 + 3*t^6.777 + t^6.801 + t^6.819 + 3*t^6.883 + 2*t^6.924 + 3*t^6.966 + 3*t^7.007 + t^7.048 + 2*t^7.072 + 2*t^7.154 + 4*t^7.195 + 2*t^7.237 + t^7.342 + t^7.384 + 2*t^7.425 - t^7.572 + 3*t^7.613 + t^7.661 + t^7.702 + t^7.743 + 2*t^7.849 + t^7.89 + 2*t^7.931 + t^7.973 + t^8.037 - 3*t^8.079 + 2*t^8.161 + t^8.202 + t^8.226 - 4*t^8.267 + 2*t^8.308 + t^8.314 - 2*t^8.349 + t^8.355 + 3*t^8.391 + t^8.397 + t^8.438 - t^8.455 + t^8.479 + t^8.502 - 7*t^8.538 + t^8.544 + 3*t^8.579 + 2*t^8.585 + 2*t^8.626 + t^8.668 + t^8.691 + t^8.709 - 3*t^8.726 + t^8.732 + 3*t^8.767 + 4*t^8.773 + 3*t^8.815 + 4*t^8.856 + t^8.879 + 3*t^8.897 + t^8.92 + t^8.938 + 3*t^8.962 - t^4.154/y - t^6.233/y - t^6.274/y - t^6.421/y - t^6.503/y - t^6.692/y + t^7.198/y + t^7.345/y + t^7.387/y + t^7.428/y + t^7.469/y + (4*t^7.616)/y + (2*t^7.658)/y + (3*t^7.805)/y + (3*t^7.887)/y + t^8.034/y + (2*t^8.076)/y - t^8.311/y - t^8.352/y - t^8.394/y - t^8.499/y - t^8.541/y - t^8.688/y + t^8.77/y + t^8.812/y + t^8.959/y - t^4.154*y - t^6.233*y - t^6.274*y - t^6.421*y - t^6.503*y - t^6.692*y + t^7.198*y + t^7.345*y + t^7.387*y + t^7.428*y + t^7.469*y + 4*t^7.616*y + 2*t^7.658*y + 3*t^7.805*y + 3*t^7.887*y + t^8.034*y + 2*t^8.076*y - t^8.311*y - t^8.352*y - t^8.394*y - t^8.499*y - t^8.541*y - t^8.688*y + t^8.77*y + t^8.812*y + t^8.959*y | t^2.079/(g1^7*g2^7) + t^2.12/(g1^11*g2^13) + g1^2*g2^4*t^2.267 + t^2.349/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.538 + t^3.503/(g1^7*g2^9) + 2*g1^2*g2^2*t^3.692 + t^4.157/(g1^14*g2^14) + t^4.198/(g1^18*g2^20) + t^4.24/(g1^22*g2^26) + t^4.345/(g1^5*g2^3) + t^4.387/(g1^9*g2^9) + t^4.428/(g1^13*g2^15) + t^4.469/(g1^17*g2^21) + g1^4*g2^8*t^4.534 + (3*t^4.616)/(g1^4*g2^4) + (2*t^4.658)/(g1^8*g2^10) + t^4.699/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.805 + g1*g2*t^4.846 + (2*t^4.887)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.076 + t^5.582/(g1^14*g2^16) + t^5.623/(g1^18*g2^22) + (2*t^5.77)/(g1^5*g2^5) + t^5.812/(g1^9*g2^11) + t^5.853/(g1^13*g2^17) + g1^4*g2^6*t^5.959 - 3*t^6. + (3*t^6.041)/(g1^4*g2^6) - g1^9*g2^11*t^6.188 + 3*g1^5*g2^5*t^6.23 + t^6.236/(g1^21*g2^21) + t^6.277/(g1^25*g2^27) + t^6.318/(g1^29*g2^33) + t^6.359/(g1^33*g2^39) + t^6.424/(g1^12*g2^10) + t^6.465/(g1^16*g2^16) + (2*t^6.506)/(g1^20*g2^22) + t^6.548/(g1^24*g2^28) + t^6.589/(g1^28*g2^34) + (g2*t^6.612)/g1^3 + t^6.654/(g1^7*g2^5) + (3*t^6.695)/(g1^11*g2^11) + (3*t^6.736)/(g1^15*g2^17) + (3*t^6.777)/(g1^19*g2^23) + g1^6*g2^12*t^6.801 + t^6.819/(g1^23*g2^29) + (3*t^6.883)/g1^2 + (2*t^6.924)/(g1^6*g2^6) + (3*t^6.966)/(g1^10*g2^12) + (3*t^7.007)/(g1^14*g2^18) + t^7.048/(g1^18*g2^24) + 2*g1^7*g2^11*t^7.072 + (2*t^7.154)/(g1*g2) + (4*t^7.195)/(g1^5*g2^7) + (2*t^7.237)/(g1^9*g2^13) + g1^8*g2^10*t^7.342 + g1^4*g2^4*t^7.384 + (2*t^7.425)/g2^2 - g1^13*g2^15*t^7.572 + 3*g1^9*g2^9*t^7.613 + t^7.661/(g1^21*g2^23) + t^7.702/(g1^25*g2^29) + t^7.743/(g1^29*g2^35) + (2*t^7.849)/(g1^12*g2^12) + t^7.89/(g1^16*g2^18) + (2*t^7.931)/(g1^20*g2^24) + t^7.973/(g1^24*g2^30) + t^8.037/(g1^3*g2) - (3*t^8.079)/(g1^7*g2^7) + (2*t^8.161)/(g1^15*g2^19) + t^8.202/(g1^19*g2^25) + g1^6*g2^10*t^8.226 - 4*g1^2*g2^4*t^8.267 + (2*t^8.308)/(g1^2*g2^2) + t^8.314/(g1^28*g2^28) - (2*t^8.349)/(g1^6*g2^8) + t^8.355/(g1^32*g2^34) + (3*t^8.391)/(g1^10*g2^14) + t^8.397/(g1^36*g2^40) + t^8.438/(g1^40*g2^46) - g1^11*g2^15*t^8.455 + t^8.479/(g1^44*g2^52) + t^8.502/(g1^19*g2^17) - 7*g1^3*g2^3*t^8.538 + t^8.544/(g1^23*g2^23) + (3*t^8.579)/(g1*g2^3) + (2*t^8.585)/(g1^27*g2^29) + (2*t^8.626)/(g1^31*g2^35) + t^8.668/(g1^35*g2^41) + t^8.691/(g1^10*g2^6) + t^8.709/(g1^39*g2^47) - 3*g1^12*g2^14*t^8.726 + t^8.732/(g1^14*g2^12) + 3*g1^8*g2^8*t^8.767 + (4*t^8.773)/(g1^18*g2^18) + (3*t^8.815)/(g1^22*g2^24) + (4*t^8.856)/(g1^26*g2^30) + (g2^5*t^8.879)/g1 + (3*t^8.897)/(g1^30*g2^36) + t^8.92/(g1^5*g2) + t^8.938/(g1^34*g2^42) + (3*t^8.962)/(g1^9*g2^7) - t^4.154/(g1*g2*y) - t^6.233/(g1^8*g2^8*y) - t^6.274/(g1^12*g2^14*y) - (g1*g2^3*t^6.421)/y - t^6.503/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.692)/y + t^7.198/(g1^18*g2^20*y) + t^7.345/(g1^5*g2^3*y) + t^7.387/(g1^9*g2^9*y) + t^7.428/(g1^13*g2^15*y) + t^7.469/(g1^17*g2^21*y) + (4*t^7.616)/(g1^4*g2^4*y) + (2*t^7.658)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.805)/y + (3*t^7.887)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.034)/y + (2*g1^6*g2^6*t^8.076)/y - t^8.311/(g1^15*g2^15*y) - t^8.352/(g1^19*g2^21*y) - t^8.394/(g1^23*g2^27*y) - t^8.499/(g1^6*g2^4*y) - t^8.541/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.688)/y + t^8.77/(g1^5*g2^5*y) + t^8.812/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.959)/y - (t^4.154*y)/(g1*g2) - (t^6.233*y)/(g1^8*g2^8) - (t^6.274*y)/(g1^12*g2^14) - g1*g2^3*t^6.421*y - (t^6.503*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.692*y + (t^7.198*y)/(g1^18*g2^20) + (t^7.345*y)/(g1^5*g2^3) + (t^7.387*y)/(g1^9*g2^9) + (t^7.428*y)/(g1^13*g2^15) + (t^7.469*y)/(g1^17*g2^21) + (4*t^7.616*y)/(g1^4*g2^4) + (2*t^7.658*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.805*y + (3*t^7.887*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.034*y + 2*g1^6*g2^6*t^8.076*y - (t^8.311*y)/(g1^15*g2^15) - (t^8.352*y)/(g1^19*g2^21) - (t^8.394*y)/(g1^23*g2^27) - (t^8.499*y)/(g1^6*g2^4) - (t^8.541*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.688*y + (t^8.77*y)/(g1^5*g2^5) + (t^8.812*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.959*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
52586 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6521 | 0.8149 | 0.8003 | [M:[1.1596, 0.764, 0.8404, 0.7821, 1.2269, 0.7148, 0.8404], q:[0.3911, 0.4493], qb:[0.8449, 0.7685], phi:[0.3865]] | t^2.144 + t^2.292 + t^2.346 + 2*t^2.521 + t^3.506 + 2*t^3.681 + t^3.883 + t^4.289 + t^4.436 + t^4.491 + t^4.584 + t^4.638 + 2*t^4.666 + t^4.693 + 2*t^4.813 + t^4.84 + 2*t^4.868 + 3*t^5.042 + t^5.65 + t^5.825 + t^5.852 + t^5.973 - 3*t^6. - t^4.16/y - t^4.16*y | detail |