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
57664	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{2}$	1.0943	1.2354	0.8857	[X:[1.498], M:[0.7529], q:[0.3314, 1.0804], qb:[0.6686, 0.4137], phi:[0.251]]	[X:[[0, 2]], M:[[0, -3]], q:[[-1, 5], [-1, 6]], qb:[[1, -5], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}$	-2	t^2.24 + 2*t^2.26 + t^2.99 + t^3. + t^4.47 + t^4.48 + 3*t^4.49 + 3*t^4.52 + t^5.22 + 3*t^5.24 + 3*t^5.25 + t^5.26 + 3*t^5.98 + t^5.99 - 2*t^6. + t^6.71 + t^6.72 + 3*t^6.73 + t^6.74 + 4*t^6.75 - t^6.76 + 4*t^6.78 + t^7.46 + 2*t^7.47 + 6*t^7.48 + 2*t^7.49 + 2*t^7.5 + 4*t^7.51 + t^7.52 + t^8.21 + 3*t^8.22 + 2*t^8.23 + 4*t^8.24 - 2*t^8.25 - 3*t^8.26 + t^8.94 + t^8.95 + 5*t^8.96 + 2*t^8.97 + 3*t^8.98 - 3*t^8.99 + t^8.26/y^2 - t^8.99/y^2 - t^3.75/y - t^4.51/y - t^5.99/y - (2*t^6.01)/y - t^6.74/y - t^6.75/y - (2*t^6.76)/y + (2*t^7.49)/y + t^7.52/y + t^8.25/y + (2*t^8.26)/y - (3*t^8.27)/y - t^8.98/y - t^3.75*y - t^4.51*y - t^5.99*y - 2*t^6.01*y - t^6.74*y - t^6.75*y - 2*t^6.76*y + 2*t^7.49*y + t^7.52*y + t^8.25*y + 2*t^8.26*y - 3*t^8.27*y - t^8.98*y + t^8.26*y^2 - t^8.99*y^2	g2^5*t^2.24 + (2*t^2.26)/g2^3 + g2^4*t^2.99 + t^3. + g2^10*t^4.47 + g2^6*t^4.48 + 3*g2^2*t^4.49 + (3*t^4.52)/g2^6 + g2^9*t^5.22 + (g1^3*t^5.24)/g2^6 + g2^5*t^5.24 + (g2^12*t^5.24)/g1^3 + 3*g2*t^5.25 + t^5.26/g2^3 + (g1^3*t^5.98)/g2^3 + g2^8*t^5.98 + (g2^15*t^5.98)/g1^3 + g2^4*t^5.99 - 2*t^6. + g2^15*t^6.71 + g2^11*t^6.72 + 3*g2^7*t^6.73 + g2^3*t^6.74 + (4*t^6.75)/g2 - t^6.76/g2^5 + (4*t^6.78)/g2^9 + g2^14*t^7.46 + 2*g2^10*t^7.47 + (g1^3*t^7.48)/g2 + 4*g2^6*t^7.48 + (g2^17*t^7.48)/g1^3 + 2*g2^2*t^7.49 + (g1^3*t^7.5)/g2^9 + (g2^9*t^7.5)/g1^3 + (4*t^7.51)/g2^2 + t^7.52/g2^6 + g2^13*t^8.21 + g1^3*g2^2*t^8.22 + g2^9*t^8.22 + (g2^20*t^8.22)/g1^3 + (g1^3*t^8.23)/g2^2 + (g2^16*t^8.23)/g1^3 + (2*g1^3*t^8.24)/g2^6 + (2*g2^12*t^8.24)/g1^3 - (g1^3*t^8.25)/g2^10 - (g2^8*t^8.25)/g1^3 - (3*t^8.26)/g2^3 + g2^20*t^8.94 + g2^16*t^8.95 + 5*g2^12*t^8.96 + g1^3*g2*t^8.97 + (g2^19*t^8.97)/g1^3 + 3*g2^8*t^8.98 - (g1^3*t^8.99)/g2^7 - g2^4*t^8.99 - (g2^11*t^8.99)/g1^3 + t^8.26/(g2^3*y^2) - (g2^4*t^8.99)/y^2 - t^3.75/(g2*y) - t^4.51/(g2^2*y) - (g2^4*t^5.99)/y - (2*t^6.01)/(g2^4*y) - (g2^3*t^6.74)/y - t^6.75/(g2*y) - (2*t^6.76)/(g2^5*y) + (2*g2^2*t^7.49)/y + t^7.52/(g2^6*y) + (g2*t^8.25)/y + (2*t^8.26)/(g2^3*y) - (3*t^8.27)/(g2^7*y) - (g2^8*t^8.98)/y - (t^3.75*y)/g2 - (t^4.51*y)/g2^2 - g2^4*t^5.99*y - (2*t^6.01*y)/g2^4 - g2^3*t^6.74*y - (t^6.75*y)/g2 - (2*t^6.76*y)/g2^5 + 2*g2^2*t^7.49*y + (t^7.52*y)/g2^6 + g2*t^8.25*y + (2*t^8.26*y)/g2^3 - (3*t^8.27*y)/g2^7 - g2^8*t^8.98*y + (t^8.26*y^2)/g2^3 - g2^4*t^8.99*y^2

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
59481	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$	1.0952	1.2339	0.8876	[X:[1.5121], M:[0.7318, 0.9758], q:[0.3454, 1.1015], qb:[0.6546, 0.4348], phi:[0.2439]]	2*t^2.2 + t^2.34 + t^2.93 + t^3. + 3*t^4.39 + 3*t^4.54 + t^4.61 + t^4.68 + 2*t^5.12 + t^5.2 + 2*t^5.27 + 2*t^5.3 + t^5.34 + t^5.85 + t^5.93 - 2*t^6. - t^3.73/y - t^4.46/y - (2*t^5.93)/y - t^3.73*y - t^4.46*y - 2*t^5.93*y	detail
59482	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.0943	1.2352	0.8859	[X:[1.4987], M:[0.7519], q:[0.3333, 1.0827], qb:[0.6667, 0.4135], phi:[0.2506]]	t^2.24 + 2*t^2.26 + t^2.99 + t^3. + t^4.48 + t^4.49 + 3*t^4.5 + 3*t^4.51 + 2*t^5.23 + t^5.24 + 3*t^5.25 + 2*t^5.26 + 2*t^5.98 + t^5.99 - t^6. - t^3.75/y - t^4.5/y - t^5.99/y - t^3.75*y - t^4.5*y - t^5.99*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
47937	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.0755	1.2031	0.8939	[X:[1.493], q:[0.3263, 1.0728], qb:[0.6737, 0.4062], phi:[0.2535]]	t^2.198 + t^2.281 + t^2.958 + t^3. + t^3.719 + t^4.395 + t^4.437 + 2*t^4.479 + t^4.563 + t^5.156 + t^5.198 + 2*t^5.219 + 2*t^5.24 + 2*t^5.916 + 2*t^5.937 + t^5.958 - t^6. - t^3.76/y - t^4.521/y - t^5.958/y - t^3.76*y - t^4.521*y - t^5.958*y	detail