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
46626	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6977	0.8713	0.8008	[M:[1.1105, 0.7877, 0.6686, 0.9913, 0.8895], q:[0.4346, 0.4549], qb:[0.7776, 0.5538], phi:[0.4448]]	[M:[[0, 4], [1, 3], [0, -12], [-1, -11], [0, -4]], q:[[-1, -4], [1, 0]], qb:[[0, 1], [0, 11]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$	${}$	-3	t^2.006 + t^2.363 + 2*t^2.669 + t^2.965 + t^2.974 + t^3.698 + t^3.942 + t^4.003 + t^4.012 + t^4.064 + t^4.3 + t^4.36 + t^4.369 + t^4.657 + 2*t^4.674 + t^4.726 + t^4.971 + t^4.98 + 2*t^5.032 + t^5.329 + 4*t^5.337 + 2*t^5.634 + t^5.643 + t^5.931 + 2*t^5.948 - 3*t^6. + t^6.009 + t^6.017 + t^6.069 - t^6.297 + t^6.305 - t^6.357 + 3*t^6.366 + t^6.375 + t^6.427 + 2*t^6.611 + t^6.663 + 2*t^6.671 + 2*t^6.68 + t^6.724 + 3*t^6.732 + t^6.907 + t^6.916 + t^6.968 + t^6.977 + t^6.986 + t^7.02 + t^7.029 + 2*t^7.038 + t^7.09 + t^7.265 - t^7.274 + 2*t^7.326 - t^7.334 + 4*t^7.343 + t^7.395 + t^7.622 - t^7.631 + 2*t^7.64 + t^7.648 - t^7.692 + 4*t^7.7 + t^7.761 + t^7.884 + t^7.945 + 2*t^7.954 - t^7.988 + t^7.997 + 3*t^8.006 + t^8.014 + t^8.023 + t^8.075 + t^8.127 + t^8.242 + 2*t^8.302 + 3*t^8.311 - 4*t^8.363 + t^8.372 + t^8.381 + t^8.424 + t^8.433 + 3*t^8.599 - t^8.608 + 3*t^8.617 - t^8.66 - 6*t^8.669 + 2*t^8.677 + 2*t^8.686 + t^8.729 + 3*t^8.738 + t^8.79 + t^8.896 + t^8.913 + 2*t^8.922 + t^8.957 - 5*t^8.965 - t^8.974 + t^8.983 + t^8.991 - t^4.334/y - t^6.34/y - t^6.698/y - t^7.003/y - t^7.308/y + t^7.36/y + t^7.369/y + t^7.666/y + (2*t^7.674)/y + (2*t^7.971)/y + t^7.98/y + (2*t^8.032)/y + (2*t^8.329)/y + (2*t^8.337)/y - t^8.346/y + (2*t^8.634)/y + (2*t^8.643)/y + t^8.939/y + t^8.948/y - t^4.334*y - t^6.34*y - t^6.698*y - t^7.003*y - t^7.308*y + t^7.36*y + t^7.369*y + t^7.666*y + 2*t^7.674*y + 2*t^7.971*y + t^7.98*y + 2*t^8.032*y + 2*t^8.329*y + 2*t^8.337*y - t^8.346*y + 2*t^8.634*y + 2*t^8.643*y + t^8.939*y + t^8.948*y	t^2.006/g2^12 + g1*g2^3*t^2.363 + (2*t^2.669)/g2^4 + (g2^7*t^2.965)/g1 + t^2.974/(g1*g2^11) + g1*g2*t^3.698 + t^3.942/(g1^2*g2^10) + t^4.003/g2^6 + t^4.012/g2^24 + (g1^2*t^4.064)/g2^2 + (g2^5*t^4.3)/g1 + g1*g2^9*t^4.36 + (g1*t^4.369)/g2^9 + g2^20*t^4.657 + (2*t^4.674)/g2^16 + g1^2*g2^6*t^4.726 + t^4.971/(g1*g2^5) + t^4.98/(g1*g2^23) + (2*g1*t^5.032)/g2 + g2^10*t^5.329 + (4*t^5.337)/g2^8 + (2*g2^3*t^5.634)/g1 + t^5.643/(g1*g2^15) + (g2^14*t^5.931)/g1^2 + (2*t^5.948)/(g1^2*g2^22) - 3*t^6. + t^6.009/g2^18 + t^6.017/g2^36 + (g1^2*t^6.069)/g2^14 - (g2^11*t^6.297)/g1 + t^6.305/(g1*g2^7) - g1*g2^15*t^6.357 + (3*g1*t^6.366)/g2^3 + (g1*t^6.375)/g2^21 + g1^3*g2*t^6.427 + (2*t^6.611)/(g1^2*g2^14) + g2^8*t^6.663 + (2*t^6.671)/g2^10 + (2*t^6.68)/g2^28 + g1^2*g2^12*t^6.724 + (3*g1^2*t^6.732)/g2^6 + t^6.907/(g1^3*g2^3) + t^6.916/(g1^3*g2^21) + (g2*t^6.968)/g1 + t^6.977/(g1*g2^17) + t^6.986/(g1*g2^35) + g1*g2^23*t^7.02 + g1*g2^5*t^7.029 + (2*g1*t^7.038)/g2^13 + g1^3*g2^9*t^7.09 + (g2^12*t^7.265)/g1^2 - t^7.274/(g1^2*g2^6) + 2*g2^16*t^7.326 - t^7.334/g2^2 + (4*t^7.343)/g2^20 + g1^2*g2^2*t^7.395 + (g2^27*t^7.622)/g1 - (g2^9*t^7.631)/g1 + (2*t^7.64)/(g1*g2^9) + t^7.648/(g1*g2^27) - g1*g2^13*t^7.692 + (4*g1*t^7.7)/g2^5 + (g1^3*t^7.761)/g2 + t^7.884/(g1^4*g2^20) + t^7.945/(g1^2*g2^16) + (2*t^7.954)/(g1^2*g2^34) - g2^24*t^7.988 + g2^6*t^7.997 + (3*t^8.006)/g2^12 + t^8.014/g2^30 + t^8.023/g2^48 + (g1^2*t^8.075)/g2^26 + (g1^4*t^8.127)/g2^4 + t^8.242/(g1^3*g2^5) + (2*t^8.302)/(g1*g2) + (3*t^8.311)/(g1*g2^19) - 4*g1*g2^3*t^8.363 + (g1*t^8.372)/g2^15 + (g1*t^8.381)/g2^33 + g1^3*g2^7*t^8.424 + (g1^3*t^8.433)/g2^11 + (3*g2^10*t^8.599)/g1^2 - t^8.608/(g1^2*g2^8) + (3*t^8.617)/(g1^2*g2^26) - g2^14*t^8.66 - (6*t^8.669)/g2^4 + (2*t^8.677)/g2^22 + (2*t^8.686)/g2^40 + g1^2*t^8.729 + (3*g1^2*t^8.738)/g2^18 + g1^4*g2^4*t^8.79 + (g2^21*t^8.896)/g1^3 + t^8.913/(g1^3*g2^15) + (2*t^8.922)/(g1^3*g2^33) + (g2^25*t^8.957)/g1 - (5*g2^7*t^8.965)/g1 - t^8.974/(g1*g2^11) + t^8.983/(g1*g2^29) + t^8.991/(g1*g2^47) - t^4.334/(g2^2*y) - t^6.34/(g2^14*y) - (g1*g2*t^6.698)/y - t^7.003/(g2^6*y) - t^7.308/(g1*g2^13*y) + (g1*g2^9*t^7.36)/y + (g1*t^7.369)/(g2^9*y) + (g2^2*t^7.666)/y + (2*t^7.674)/(g2^16*y) + (2*t^7.971)/(g1*g2^5*y) + t^7.98/(g1*g2^23*y) + (2*g1*t^8.032)/(g2*y) + (2*g2^10*t^8.329)/y + (2*t^8.337)/(g2^8*y) - t^8.346/(g2^26*y) + (2*g2^3*t^8.634)/(g1*y) + (2*t^8.643)/(g1*g2^15*y) + t^8.939/(g1^2*g2^4*y) + t^8.948/(g1^2*g2^22*y) - (t^4.334*y)/g2^2 - (t^6.34*y)/g2^14 - g1*g2*t^6.698*y - (t^7.003*y)/g2^6 - (t^7.308*y)/(g1*g2^13) + g1*g2^9*t^7.36*y + (g1*t^7.369*y)/g2^9 + g2^2*t^7.666*y + (2*t^7.674*y)/g2^16 + (2*t^7.971*y)/(g1*g2^5) + (t^7.98*y)/(g1*g2^23) + (2*g1*t^8.032*y)/g2 + 2*g2^10*t^8.329*y + (2*t^8.337*y)/g2^8 - (t^8.346*y)/g2^26 + (2*g2^3*t^8.634*y)/g1 + (2*t^8.643*y)/(g1*g2^15) + (t^8.939*y)/(g1^2*g2^4) + (t^8.948*y)/(g1^2*g2^22)

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
46807	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$	0.6892	0.8587	0.8026	[M:[1.0848, 0.7456, 0.7456, 1.0848, 0.9152], q:[0.4832, 0.432], qb:[0.7712, 0.4832], phi:[0.4576]]	2*t^2.237 + 2*t^2.746 + t^2.899 + t^3.254 + t^3.61 + t^3.965 + 2*t^4.118 + 3*t^4.272 + 3*t^4.474 + 4*t^4.982 + 2*t^5.136 + 5*t^5.491 + 2*t^5.645 + t^5.798 - 3*t^6. - t^4.373/y - t^4.373*y	detail
47124	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.7185	0.912	0.7878	[M:[1.1099, 0.7844, 0.6702, 0.9957, 0.8901, 0.6787], q:[0.4381, 0.4519], qb:[0.7775, 0.5523], phi:[0.445]]	t^2.011 + t^2.036 + t^2.353 + 2*t^2.67 + t^2.971 + t^2.987 + t^3.688 + t^4.005 + t^4.021 + 2*t^4.047 + t^4.072 + t^4.306 + t^4.348 + t^4.364 + t^4.389 + t^4.649 + 2*t^4.681 + 3*t^4.706 + t^4.982 + t^4.998 + t^5.008 + 3*t^5.023 + t^5.325 + 4*t^5.34 + 2*t^5.642 + t^5.657 + t^5.724 + t^5.943 + t^5.974 - 3*t^6. - t^4.335/y - t^4.335*y	detail
47127	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}X_{1}$	0.6768	0.8295	0.8159	[X:[1.3406], M:[1.1135, 0.7838, 0.6594, 0.9891, 0.8865], q:[0.4378, 0.4487], qb:[0.7784, 0.5622], phi:[0.4432]]	t^2.351 + 2*t^2.659 + t^2.967 + t^3. + t^3.681 + t^3.957 + t^3.989 + 2*t^4.022 + t^4.33 + t^4.362 + 2*t^4.703 + 2*t^5.011 + 4*t^5.319 + t^5.351 + t^5.627 + t^5.659 + t^5.935 - 2*t^6. - t^4.33/y - t^4.33*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
46318	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$	0.7211	0.8891	0.811	[M:[1.0753, 0.9247, 0.774, 0.9247, 0.9247], q:[0.4623, 0.4623], qb:[0.613, 0.613], phi:[0.4623]]	t^2.322 + 4*t^2.774 + 2*t^3.226 + 3*t^4.161 + 4*t^4.613 + t^4.644 + 3*t^5.065 + 4*t^5.096 + 8*t^5.548 - t^4.387/y - t^4.387*y	detail