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
57383	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.4487	1.635	0.8861	[X:[1.3531], M:[0.9007], q:[0.5054, 0.5856], qb:[0.4545, 0.5138], phi:[0.3235]]	[X:[[0, 2]], M:[[-3, 11]], q:[[-4, 23], [2, -11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.702 + t^2.88 + t^2.911 + t^3.057 + t^3.12 + t^3.85 + t^4.028 + t^4.059 + t^4.091 + t^4.268 + t^4.82 + t^4.998 + t^5.061 + 2*t^5.239 + t^5.404 + t^5.417 + t^5.582 + t^5.613 + 2*t^5.759 + t^5.791 + t^5.822 + t^5.937 + t^5.968 - 2*t^6. + t^6.032 + t^6.115 + t^6.209 + t^6.387 + t^6.552 + 2*t^6.73 + 2*t^6.761 + 2*t^6.907 + 2*t^6.939 + 2*t^6.97 + 2*t^7.002 + t^7.085 + t^7.117 + t^7.148 + 3*t^7.18 + t^7.326 + t^7.357 + t^7.459 + t^7.522 + t^7.535 + 3*t^7.7 + 3*t^7.878 + 3*t^7.941 + t^7.972 + 2*t^8.055 + t^8.106 + 4*t^8.118 + 2*t^8.15 + t^8.181 + t^8.284 + 3*t^8.296 + t^8.315 + t^8.328 + t^8.359 + t^8.461 + t^8.474 + t^8.493 + t^8.524 + t^8.537 + t^8.639 + 3*t^8.67 - 3*t^8.702 + t^8.733 + 2*t^8.817 + 3*t^8.848 - 3*t^8.88 + t^8.911 + t^8.994 + t^8.911/y^2 - t^3.97/y - t^4.941/y - t^6.672/y - t^6.85/y - t^6.882/y - t^7.028/y - t^7.091/y - t^7.643/y - t^7.82/y - t^7.852/y - t^7.998/y - t^8.061/y + t^8.582/y + t^8.613/y + t^8.759/y + t^8.822/y + t^8.937/y - t^3.97*y - t^4.941*y - t^6.672*y - t^6.85*y - t^6.882*y - t^7.028*y - t^7.091*y - t^7.643*y - t^7.82*y - t^7.852*y - t^7.998*y - t^8.061*y + t^8.582*y + t^8.613*y + t^8.759*y + t^8.822*y + t^8.937*y + t^8.911*y^2	(g2^11*t^2.702)/g1^3 + (g2^17*t^2.88)/g1^3 + t^2.911/g2^3 + (g2^23*t^3.057)/g1^3 + (g1^3*t^3.12)/g2^17 + (g2^16*t^3.85)/g1^3 + (g2^22*t^4.028)/g1^3 + g2^2*t^4.059 + (g1^3*t^4.091)/g2^18 + (g1^3*t^4.268)/g2^12 + (g2^15*t^4.82)/g1^3 + (g2^21*t^4.998)/g1^3 + (g1^3*t^5.061)/g2^19 + (2*g1^3*t^5.239)/g2^13 + (g2^22*t^5.404)/g1^6 + (g1^3*t^5.417)/g2^7 + (g2^28*t^5.582)/g1^6 + (g2^8*t^5.613)/g1^3 + (2*g2^34*t^5.759)/g1^6 + (g2^14*t^5.791)/g1^3 + t^5.822/g2^6 + (g2^40*t^5.937)/g1^6 + (g2^20*t^5.968)/g1^3 - 2*t^6. + (g1^3*t^6.032)/g2^20 + (g2^46*t^6.115)/g1^6 + (g1^3*t^6.209)/g2^14 + (g1^3*t^6.387)/g2^8 + (g2^27*t^6.552)/g1^6 + (2*g2^33*t^6.73)/g1^6 + (2*g2^13*t^6.761)/g1^3 + (2*g2^39*t^6.907)/g1^6 + (2*g2^19*t^6.939)/g1^3 + (2*t^6.97)/g2 + (2*g1^3*t^7.002)/g2^21 + (g2^45*t^7.085)/g1^6 + (g2^25*t^7.117)/g1^3 + g2^5*t^7.148 + (3*g1^3*t^7.18)/g2^15 + g2^11*t^7.326 + (g1^3*t^7.357)/g2^9 + (g2^66*t^7.459)/g1^12 + (g2^26*t^7.522)/g1^6 + (g1^3*t^7.535)/g2^3 + (3*g2^32*t^7.7)/g1^6 + (3*g2^38*t^7.878)/g1^6 + (3*t^7.941)/g2^2 + (g1^3*t^7.972)/g2^22 + (2*g2^44*t^8.055)/g1^6 + (g2^33*t^8.106)/g1^9 + 4*g2^4*t^8.118 + (2*g1^3*t^8.15)/g2^16 + (g1^6*t^8.181)/g2^36 + (g2^39*t^8.284)/g1^9 + 3*g2^10*t^8.296 + (g2^19*t^8.315)/g1^6 + (g1^3*t^8.328)/g2^10 + (g1^6*t^8.359)/g2^30 + (g2^45*t^8.461)/g1^9 + g2^16*t^8.474 + (g2^25*t^8.493)/g1^6 + (g2^5*t^8.524)/g1^3 + (g1^6*t^8.537)/g2^24 + (g2^51*t^8.639)/g1^9 + (3*g2^31*t^8.67)/g1^6 - (3*g2^11*t^8.702)/g1^3 + t^8.733/g2^9 + (2*g2^57*t^8.817)/g1^9 + (3*g2^37*t^8.848)/g1^6 - (3*g2^17*t^8.88)/g1^3 + t^8.911/g2^3 + (g2^63*t^8.994)/g1^9 + t^8.911/(g2^3*y^2) - t^3.97/(g2*y) - t^4.941/(g2^2*y) - (g2^10*t^6.672)/(g1^3*y) - (g2^16*t^6.85)/(g1^3*y) - t^6.882/(g2^4*y) - (g2^22*t^7.028)/(g1^3*y) - (g1^3*t^7.091)/(g2^18*y) - (g2^9*t^7.643)/(g1^3*y) - (g2^15*t^7.82)/(g1^3*y) - t^7.852/(g2^5*y) - (g2^21*t^7.998)/(g1^3*y) - (g1^3*t^8.061)/(g2^19*y) + (g2^28*t^8.582)/(g1^6*y) + (g2^8*t^8.613)/(g1^3*y) + (g2^34*t^8.759)/(g1^6*y) + t^8.822/(g2^6*y) + (g2^40*t^8.937)/(g1^6*y) - (t^3.97*y)/g2 - (t^4.941*y)/g2^2 - (g2^10*t^6.672*y)/g1^3 - (g2^16*t^6.85*y)/g1^3 - (t^6.882*y)/g2^4 - (g2^22*t^7.028*y)/g1^3 - (g1^3*t^7.091*y)/g2^18 - (g2^9*t^7.643*y)/g1^3 - (g2^15*t^7.82*y)/g1^3 - (t^7.852*y)/g2^5 - (g2^21*t^7.998*y)/g1^3 - (g1^3*t^8.061*y)/g2^19 + (g2^28*t^8.582*y)/g1^6 + (g2^8*t^8.613*y)/g1^3 + (g2^34*t^8.759*y)/g1^6 + (t^8.822*y)/g2^6 + (g2^40*t^8.937*y)/g1^6 + (t^8.911*y^2)/g2^3

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
58496	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$	1.2078	1.3953	0.8656	[X:[1.2686, 1.4629], M:[0.9258], q:[0.1867, 0.7238], qb:[0.5448, 0.3504], phi:[0.3657]]	t^2.19 + t^2.71 + t^2.78 + 2*t^3.29 + 3*t^3.81 + t^4.32 + 3*t^4.39 + t^4.83 + 2*t^4.9 + 2*t^4.97 + 2*t^5.42 + 3*t^5.49 + t^5.55 + t^5.93 + 3*t^6. - t^4.1/y - t^5.19/y - t^4.1*y - t^5.19*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
47886	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4552	1.6417	0.8864	[X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]]	t^2.845 + t^2.945 + t^2.95 + t^3.045 + t^3.055 + t^3.928 + t^4.028 + t^4.033 + t^4.038 + t^4.139 + t^4.911 + t^5.012 + t^5.022 + t^5.122 + t^5.504 + t^5.508 + t^5.608 + t^5.614 + t^5.689 + t^5.789 + t^5.794 + t^5.89 + t^5.895 + t^5.9 + t^5.99 + t^5.995 - 3*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y	detail