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
57861	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	1.4533	1.6397	0.8863	[X:[1.3371], M:[0.9888, 1.0056, 1.0], q:[0.5028, 0.5028], qb:[0.4972, 0.5085], phi:[0.3315]]	[X:[[0, 0, 2]], M:[[-1, -1, 0], [0, 0, 3], [1, 1, -6]], q:[[-1, -2, 12], [1, 0, 0]], qb:[[0, 1, -6], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$	${}M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$	-2	t^2.97 + 2*t^3. + t^3.02 + t^3.03 + 2*t^3.99 + t^4.01 + 2*t^4.03 + 2*t^4.99 + 2*t^5.02 + t^5.5 + 2*t^5.52 + t^5.54 + t^5.93 + t^5.97 + t^5.98 - 2*t^6. + 2*t^6.02 + 2*t^6.03 + t^6.05 + t^6.07 + t^6.5 + 2*t^6.51 + t^6.53 + t^6.96 + t^6.98 + t^6.99 + 4*t^7.01 + 6*t^7.03 + t^7.04 + 2*t^7.05 + 2*t^7.06 + t^7.46 + 2*t^7.51 + t^7.56 + t^7.96 + 5*t^7.99 + 2*t^8.01 + 9*t^8.02 + 2*t^8.04 + 5*t^8.06 - t^8.47 - 2*t^8.49 - t^8.5 + t^8.52 + 3*t^8.54 + 3*t^8.55 + t^8.57 + t^8.9 + t^8.93 + t^8.95 - 2*t^8.97 + 6*t^8.98 + t^8.98/y^2 - t^3.99/y - t^4.99/y - t^6.96/y - (2*t^6.99)/y - t^7.01/y - t^7.03/y - t^7.96/y - (2*t^7.99)/y - t^8.01/y - t^8.02/y + (2*t^8.97)/y - t^8.98/y - t^3.99*y - t^4.99*y - t^6.96*y - 2*t^6.99*y - t^7.01*y - t^7.03*y - t^7.96*y - 2*t^7.99*y - t^8.01*y - t^8.02*y + 2*t^8.97*y - t^8.98*y + t^8.98*y^2	t^2.97/(g1*g2) + (2*g1*g2*t^3.)/g3^6 + g3^3*t^3.02 + (g3^12*t^3.03)/(g1*g2) + (g1*g2*t^3.99)/g3^7 + (g3^5*t^3.99)/(g1*g2) + g3^2*t^4.01 + (g1*g2*t^4.03)/g3 + (g3^11*t^4.03)/(g1*g2) + (g1*g2*t^4.99)/g3^8 + (g3^4*t^4.99)/(g1*g2) + (g1*g2*t^5.02)/g3^2 + (g3^10*t^5.02)/(g1*g2) + (g2^3*t^5.5)/g3^13 + (g1*g3^11*t^5.52)/g2^2 + (g3^23*t^5.52)/(g1*g2^4) + (g2^3*t^5.54)/g3^7 + t^5.93/(g1^2*g2^2) + t^5.97/g3^6 + (g3^3*t^5.98)/(g1*g2) - 4*t^6. + (2*g1^2*g2^2*t^6.)/g3^12 + (2*g1*g2*t^6.02)/g3^3 + 2*g3^6*t^6.03 + (g3^15*t^6.05)/(g1*g2) + (g3^24*t^6.07)/(g1^2*g2^2) + (g2^3*t^6.5)/g3^14 + (g1*g3^10*t^6.51)/g2^2 + (g3^22*t^6.51)/(g1*g2^4) + (g2^3*t^6.53)/g3^8 + (g3^5*t^6.96)/(g1^2*g2^2) + (g3^2*t^6.98)/(g1*g2) + (g1^2*g2^2*t^6.99)/g3^13 + (3*g1*g2*t^7.01)/g3^4 + (g3^8*t^7.01)/(g1*g2) + (2*g1^2*g2^2*t^7.03)/g3^7 + 3*g3^5*t^7.03 + (g3^17*t^7.03)/(g1^2*g2^2) + g1*g2*g3^2*t^7.04 + (2*g3^14*t^7.05)/(g1*g2) + g3^11*t^7.06 + (g3^23*t^7.06)/(g1^2*g2^2) + (g2^3*t^7.46)/g3^21 + (g2^3*t^7.49)/g3^15 - (g3^12*t^7.49)/g2^3 - (g1*g2^4*t^7.51)/g3^18 - (g2^2*t^7.51)/(g1*g3^6) + (g1^3*t^7.51)/g3^3 + (g1*g3^9*t^7.51)/g2^2 + (g3^21*t^7.51)/(g1*g2^4) + (g3^33*t^7.51)/(g1^3*g2^6) + (g2^3*t^7.53)/g3^9 - (g3^18*t^7.53)/g2^3 + (g2^3*t^7.56)/g3^3 + (g3^4*t^7.96)/(g1^2*g2^2) + (2*g1^2*g2^2*t^7.99)/g3^14 + (2*t^7.99)/g3^2 + (g3^10*t^7.99)/(g1^2*g2^2) + (g1*g2*t^8.01)/g3^5 + (g3^7*t^8.01)/(g1*g2) + (3*g1^2*g2^2*t^8.02)/g3^8 + 4*g3^4*t^8.02 + (2*g3^16*t^8.02)/(g1^2*g2^2) + g1*g2*g3*t^8.04 + (g3^13*t^8.04)/(g1*g2) + (g1^2*g2^2*t^8.06)/g3^2 + 2*g3^10*t^8.06 + (2*g3^22*t^8.06)/(g1^2*g2^2) - (g1*g2^4*t^8.47)/g3^25 - (g1^2*t^8.49)/(g2*g3) - (g3^11*t^8.49)/g2^3 - (g2^2*t^8.5)/(g1*g3^7) + (g2^3*t^8.52)/g3^10 + (g1^2*g3^5*t^8.52)/g2 - (g3^29*t^8.52)/(g1^2*g2^5) + (g1*g2^4*t^8.54)/g3^13 + (g1*g3^14*t^8.54)/g2^2 + (g3^26*t^8.54)/(g1*g2^4) + (g2^3*t^8.55)/g3^4 + (g3^23*t^8.55)/g2^3 + (g3^35*t^8.55)/(g1^2*g2^5) + (g2^2*g3^5*t^8.57)/g1 + t^8.9/(g1^3*g2^3) + t^8.93/(g1*g2*g3^6) + (g3^3*t^8.95)/(g1^2*g2^2) - (3*t^8.97)/(g1*g2) + (g1*g2*t^8.97)/g3^12 + (g1^2*g2^2*t^8.98)/g3^15 + (4*t^8.98)/g3^3 + (g3^9*t^8.98)/(g1^2*g2^2) + t^8.98/(g3^3*y^2) - t^3.99/(g3*y) - t^4.99/(g3^2*y) - t^6.96/(g1*g2*g3*y) - (2*g1*g2*t^6.99)/(g3^7*y) - (g3^2*t^7.01)/y - (g3^11*t^7.03)/(g1*g2*y) - t^7.96/(g1*g2*g3^2*y) - (2*g1*g2*t^7.99)/(g3^8*y) - (g3*t^8.01)/y - (g3^10*t^8.02)/(g1*g2*y) + (2*t^8.97)/(g3^6*y) - (g1*g2*t^8.98)/(g3^9*y) - (t^3.99*y)/g3 - (t^4.99*y)/g3^2 - (t^6.96*y)/(g1*g2*g3) - (2*g1*g2*t^6.99*y)/g3^7 - g3^2*t^7.01*y - (g3^11*t^7.03*y)/(g1*g2) - (t^7.96*y)/(g1*g2*g3^2) - (2*g1*g2*t^7.99*y)/g3^8 - g3*t^8.01*y - (g3^10*t^8.02*y)/(g1*g2) + (2*t^8.97*y)/g3^6 - (g1*g2*t^8.98*y)/g3^9 + (t^8.98*y^2)/g3^3

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
60992	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	1.1283	1.2669	0.8906	[X:[1.507], M:[0.7116, 1.2605, 0.7675], q:[0.8535, 0.3884], qb:[0.3791, 0.9], phi:[0.2465]]	t^2.13 + 2*t^2.3 + t^3.04 + 2*t^3.78 + t^4.27 + 2*t^4.44 + t^4.52 + 3*t^4.6 + t^5.18 + t^5.26 + 2*t^5.34 + 2*t^5.63 + 2*t^5.71 + t^5.92 - 3*t^6. - t^3.74/y - t^4.48/y - t^5.87/y - t^3.74*y - t^4.48*y - t^5.87*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
57280	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4541	1.6417	0.8857	[X:[1.3371], M:[0.9704, 1.0056], q:[0.4845, 0.5214], qb:[0.4971, 0.5082], phi:[0.3315]]	t^2.911 + t^2.945 + t^2.978 + t^3.017 + t^3.055 + t^3.939 + t^3.972 + t^4.011 + t^4.05 + t^4.083 + t^4.933 + t^4.967 + t^5.044 + t^5.078 + t^5.465 + t^5.501 + t^5.535 + t^5.576 + t^5.822 + t^5.856 + t^5.889 + t^5.923 + t^5.928 + t^5.956 + t^5.961 + t^5.995 - 3*t^6. - t^3.994/y - t^4.989/y - t^3.994*y - t^4.989*y	detail