Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
2012	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6455	0.8475	0.7616	[M:[1.0, 1.0299, 0.9402, 1.0299, 0.7372, 0.7478, 0.7073], q:[0.7575, 0.2425], qb:[0.5352, 0.5246], phi:[0.4851]]	[M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [3, -5], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$	${}$	-3	t^2.122 + t^2.212 + t^2.244 + t^2.301 + t^2.333 + t^2.821 + t^3. + 2*t^3.09 + t^3.846 + t^4.244 + t^4.334 + t^4.366 + 2*t^4.423 + 2*t^4.455 + t^4.487 + t^4.513 + 2*t^4.545 + t^4.577 + 2*t^4.603 + 2*t^4.634 + 2*t^4.666 + t^4.943 + t^5.032 + t^5.064 + t^5.122 + 3*t^5.212 + t^5.244 + 3*t^5.301 + 3*t^5.333 + 2*t^5.391 + 2*t^5.423 + t^5.641 + t^5.821 + t^5.91 - 3*t^6. - t^6.032 + t^6.058 + 2*t^6.09 + t^6.147 + 3*t^6.179 + t^6.366 + t^6.456 + t^6.488 + 2*t^6.545 + t^6.577 + 2*t^6.635 + 3*t^6.667 + t^6.699 + 3*t^6.725 + t^6.731 + 2*t^6.756 + 2*t^6.788 + 2*t^6.814 + t^6.82 + 3*t^6.846 + 2*t^6.878 + 2*t^6.904 + 2*t^6.91 + 4*t^6.936 + 2*t^6.968 + 2*t^7. + t^7.065 + t^7.154 + t^7.186 + 2*t^7.244 + t^7.276 + t^7.308 + 3*t^7.334 + t^7.366 + 4*t^7.423 + 2*t^7.455 + t^7.487 + 4*t^7.513 + 3*t^7.545 + 2*t^7.577 + 3*t^7.603 + 4*t^7.634 + 3*t^7.666 + 4*t^7.692 + 3*t^7.724 + 3*t^7.756 + t^7.763 + t^7.853 + t^7.885 + t^7.943 + 2*t^8.032 + t^8.064 - 2*t^8.122 - 3*t^8.212 - 5*t^8.244 + t^8.269 - t^8.275 - 3*t^8.333 + t^8.359 - t^8.365 + 3*t^8.391 + 2*t^8.423 + 2*t^8.449 + t^8.462 + 3*t^8.481 + t^8.488 + 3*t^8.512 + t^8.578 + t^8.609 + t^8.641 + 2*t^8.667 + t^8.699 + t^8.731 + 2*t^8.757 + 2*t^8.789 - 3*t^8.821 + 4*t^8.847 + 3*t^8.878 + 2*t^8.91 + 3*t^8.936 + t^8.942 + 2*t^8.968 + t^8.974 - t^4.455/y - t^6.577/y - t^6.667/y - t^6.699/y - t^7.276/y + t^7.334/y + (2*t^7.366)/y + t^7.423/y + (2*t^7.455)/y + t^7.513/y + t^7.545/y + t^7.577/y + (2*t^7.634)/y + t^7.943/y + t^8.032/y + t^8.064/y + (2*t^8.122)/y + t^8.154/y + (4*t^8.212)/y + (2*t^8.244)/y + (3*t^8.301)/y + (4*t^8.333)/y + (2*t^8.391)/y + (2*t^8.423)/y - t^8.699/y - t^8.789/y - t^8.878/y + t^8.91/y - t^8.942/y + t^8.968/y - t^4.455*y - t^6.577*y - t^6.667*y - t^6.699*y - t^7.276*y + t^7.334*y + 2*t^7.366*y + t^7.423*y + 2*t^7.455*y + t^7.513*y + t^7.545*y + t^7.577*y + 2*t^7.634*y + t^7.943*y + t^8.032*y + t^8.064*y + 2*t^8.122*y + t^8.154*y + 4*t^8.212*y + 2*t^8.244*y + 3*t^8.301*y + 4*t^8.333*y + 2*t^8.391*y + 2*t^8.423*y - t^8.699*y - t^8.789*y - t^8.878*y + t^8.91*y - t^8.942*y + t^8.968*y	t^2.122/(g1^9*g2) + (g2^3*t^2.212)/g1^5 + (g1^3*t^2.244)/g2^5 + (g2^7*t^2.301)/g1 + (g1^7*t^2.333)/g2 + t^2.821/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.09 + g1*g2^9*t^3.846 + t^4.244/(g1^18*g2^2) + (g2^2*t^4.334)/g1^14 + t^4.366/(g1^6*g2^6) + (2*g2^6*t^4.423)/g1^10 + (2*t^4.455)/(g1^2*g2^2) + (g1^6*t^4.487)/g2^10 + (g2^10*t^4.513)/g1^6 + 2*g1^2*g2^2*t^4.545 + (g1^10*t^4.577)/g2^6 + (2*g2^14*t^4.603)/g1^2 + 2*g1^6*g2^6*t^4.634 + (2*g1^14*t^4.666)/g2^2 + t^4.943/(g1^17*g2^9) + t^5.032/(g1^13*g2^5) + t^5.064/(g1^5*g2^13) + t^5.122/(g1^9*g2) + (3*g2^3*t^5.212)/g1^5 + (g1^3*t^5.244)/g2^5 + (3*g2^7*t^5.301)/g1 + (3*g1^7*t^5.333)/g2 + 2*g1^3*g2^11*t^5.391 + 2*g1^11*g2^3*t^5.423 + t^5.641/(g1^16*g2^16) + t^5.821/(g1^8*g2^8) + t^5.91/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.032)/g2^8 + (g2^12*t^6.058)/g1^4 + 2*g1^4*g2^4*t^6.09 + g2^16*t^6.147 + 3*g1^8*g2^8*t^6.179 + t^6.366/(g1^27*g2^3) + (g2*t^6.456)/g1^23 + t^6.488/(g1^15*g2^7) + (2*g2^5*t^6.545)/g1^19 + t^6.577/(g1^11*g2^3) + (2*g2^9*t^6.635)/g1^15 + (3*g2*t^6.667)/g1^7 + (g1*t^6.699)/g2^7 + (3*g2^13*t^6.725)/g1^11 + (g1^9*t^6.731)/g2^15 + (2*g2^5*t^6.756)/g1^3 + (2*g1^5*t^6.788)/g2^3 + (2*g2^17*t^6.814)/g1^7 + (g1^13*t^6.82)/g2^11 + 3*g1*g2^9*t^6.846 + 2*g1^9*g2*t^6.878 + (2*g2^21*t^6.904)/g1^3 + (2*g1^17*t^6.91)/g2^7 + 4*g1^5*g2^13*t^6.936 + 2*g1^13*g2^5*t^6.968 + (2*g1^21*t^7.)/g2^3 + t^7.065/(g1^26*g2^10) + t^7.154/(g1^22*g2^6) + t^7.186/(g1^14*g2^14) + (2*t^7.244)/(g1^18*g2^2) + t^7.276/(g1^10*g2^10) + t^7.308/(g1^2*g2^18) + (3*g2^2*t^7.334)/g1^14 + t^7.366/(g1^6*g2^6) + (4*g2^6*t^7.423)/g1^10 + (2*t^7.455)/(g1^2*g2^2) + (g1^6*t^7.487)/g2^10 + (4*g2^10*t^7.513)/g1^6 + 3*g1^2*g2^2*t^7.545 + (2*g1^10*t^7.577)/g2^6 + (3*g2^14*t^7.603)/g1^2 + 4*g1^6*g2^6*t^7.634 + (3*g1^14*t^7.666)/g2^2 + 4*g1^2*g2^18*t^7.692 + 3*g1^10*g2^10*t^7.724 + 3*g1^18*g2^2*t^7.756 + t^7.763/(g1^25*g2^17) + t^7.853/(g1^21*g2^13) + t^7.885/(g1^13*g2^21) + t^7.943/(g1^17*g2^9) + (2*t^8.032)/(g1^13*g2^5) + t^8.064/(g1^5*g2^13) - (2*t^8.122)/(g1^9*g2) - (3*g2^3*t^8.212)/g1^5 - (5*g1^3*t^8.244)/g2^5 + (g2^15*t^8.269)/g1^9 - (g1^11*t^8.275)/g2^13 - (3*g1^7*t^8.333)/g2 + (g2^19*t^8.359)/g1^5 - (g1^15*t^8.365)/g2^9 + 3*g1^3*g2^11*t^8.391 + 2*g1^11*g2^3*t^8.423 + (2*g2^23*t^8.449)/g1 + t^8.462/(g1^24*g2^24) + 3*g1^7*g2^15*t^8.481 + t^8.488/(g1^36*g2^4) + 3*g1^15*g2^7*t^8.512 + t^8.578/g1^32 + t^8.609/(g1^24*g2^8) + t^8.641/(g1^16*g2^16) + (2*g2^4*t^8.667)/g1^28 + t^8.699/(g1^20*g2^4) + t^8.731/(g1^12*g2^12) + (2*g2^8*t^8.757)/g1^24 + (2*t^8.789)/g1^16 - (3*t^8.821)/(g1^8*g2^8) + (4*g2^12*t^8.847)/g1^20 + (3*g2^4*t^8.878)/g1^12 + (2*t^8.91)/(g1^4*g2^4) + (3*g2^16*t^8.936)/g1^16 + (g1^4*t^8.942)/g2^12 + (2*g2^8*t^8.968)/g1^8 + (g1^12*t^8.974)/g2^20 - t^4.455/(g1^2*g2^2*y) - t^6.577/(g1^11*g2^3*y) - (g2*t^6.667)/(g1^7*y) - (g1*t^6.699)/(g2^7*y) - t^7.276/(g1^10*g2^10*y) + (g2^2*t^7.334)/(g1^14*y) + (2*t^7.366)/(g1^6*g2^6*y) + (g2^6*t^7.423)/(g1^10*y) + (2*t^7.455)/(g1^2*g2^2*y) + (g2^10*t^7.513)/(g1^6*y) + (g1^2*g2^2*t^7.545)/y + (g1^10*t^7.577)/(g2^6*y) + (2*g1^6*g2^6*t^7.634)/y + t^7.943/(g1^17*g2^9*y) + t^8.032/(g1^13*g2^5*y) + t^8.064/(g1^5*g2^13*y) + (2*t^8.122)/(g1^9*g2*y) + t^8.154/(g1*g2^9*y) + (4*g2^3*t^8.212)/(g1^5*y) + (2*g1^3*t^8.244)/(g2^5*y) + (3*g2^7*t^8.301)/(g1*y) + (4*g1^7*t^8.333)/(g2*y) + (2*g1^3*g2^11*t^8.391)/y + (2*g1^11*g2^3*t^8.423)/y - t^8.699/(g1^20*g2^4*y) - t^8.789/(g1^16*y) - (g2^4*t^8.878)/(g1^12*y) + t^8.91/(g1^4*g2^4*y) - (g1^4*t^8.942)/(g2^12*y) + (g2^8*t^8.968)/(g1^8*y) - (t^4.455*y)/(g1^2*g2^2) - (t^6.577*y)/(g1^11*g2^3) - (g2*t^6.667*y)/g1^7 - (g1*t^6.699*y)/g2^7 - (t^7.276*y)/(g1^10*g2^10) + (g2^2*t^7.334*y)/g1^14 + (2*t^7.366*y)/(g1^6*g2^6) + (g2^6*t^7.423*y)/g1^10 + (2*t^7.455*y)/(g1^2*g2^2) + (g2^10*t^7.513*y)/g1^6 + g1^2*g2^2*t^7.545*y + (g1^10*t^7.577*y)/g2^6 + 2*g1^6*g2^6*t^7.634*y + (t^7.943*y)/(g1^17*g2^9) + (t^8.032*y)/(g1^13*g2^5) + (t^8.064*y)/(g1^5*g2^13) + (2*t^8.122*y)/(g1^9*g2) + (t^8.154*y)/(g1*g2^9) + (4*g2^3*t^8.212*y)/g1^5 + (2*g1^3*t^8.244*y)/g2^5 + (3*g2^7*t^8.301*y)/g1 + (4*g1^7*t^8.333*y)/g2 + 2*g1^3*g2^11*t^8.391*y + 2*g1^11*g2^3*t^8.423*y - (t^8.699*y)/(g1^20*g2^4) - (t^8.789*y)/g1^16 - (g2^4*t^8.878*y)/g1^12 + (t^8.91*y)/(g1^4*g2^4) - (g1^4*t^8.942*y)/g2^12 + (g2^8*t^8.968*y)/g1^8

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
3059	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6658	0.8856	0.7518	[M:[1.0, 1.0355, 0.929, 1.0355, 0.7411, 0.7411, 0.7056, 0.7056], q:[0.7589, 0.2411], qb:[0.5355, 0.5355], phi:[0.4823]]	2*t^2.117 + 2*t^2.223 + 2*t^2.33 + t^2.787 + t^3. + 2*t^3.106 + 3*t^4.234 + 4*t^4.34 + 7*t^4.447 + 4*t^4.553 + 6*t^4.66 + 2*t^4.904 + 2*t^5.01 + 2*t^5.117 + 6*t^5.223 + 6*t^5.33 + 4*t^5.436 + t^5.574 + t^5.787 + t^5.894 - 5*t^6. - t^4.447/y - t^4.447*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

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
818	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6252	0.8098	0.7721	[M:[1.0, 1.0237, 0.9525, 1.0237, 0.7441, 0.7441], q:[0.7559, 0.2441], qb:[0.5237, 0.5237], phi:[0.4881]]	2*t^2.232 + 2*t^2.303 + t^2.858 + t^3. + 2*t^3.071 + 2*t^3.839 + 3*t^4.464 + 4*t^4.536 + 6*t^4.607 + 2*t^5.09 + 2*t^5.232 + 6*t^5.303 + 4*t^5.375 + t^5.715 + t^5.858 + t^5.929 - 5*t^6. - t^4.464/y - t^4.464*y	detail