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
57030	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.6618	0.823	0.8042	[M:[0.9456, 1.1565, 1.0884, 0.8435, 0.8435, 0.7347, 1.0884], q:[0.4932, 0.5612], qb:[0.3503, 0.7721], phi:[0.4558]]	[M:[[-10], [-8], [4], [8], [8], [-12], [4]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-3	t^2.204 + 2*t^2.531 + t^2.837 + 2*t^3.265 + t^3.367 + t^3.898 + t^4. + t^4.102 + t^4.327 + t^4.408 + t^4.531 + 3*t^4.735 + t^5.041 + 3*t^5.061 + t^5.367 + 2*t^5.469 + t^5.673 + 3*t^5.796 + 2*t^5.898 - 3*t^6. + 2*t^6.102 + t^6.204 + t^6.306 + t^6.429 + 4*t^6.531 + t^6.612 + t^6.633 + 2*t^6.857 + 3*t^6.939 + t^7.061 + t^7.163 + t^7.245 + 5*t^7.265 + t^7.367 + t^7.571 + 5*t^7.592 + 2*t^7.673 + t^7.878 + t^7.898 + 3*t^8. + t^8.102 - 2*t^8.204 + t^8.224 + 2*t^8.306 + 4*t^8.327 + 3*t^8.429 + 2*t^8.51 - 6*t^8.531 + t^8.633 + t^8.653 + 4*t^8.735 + t^8.816 - 2*t^8.837 + t^8.857 + t^8.959 - t^4.367/y - t^6.571/y - t^6.898/y + t^7.102/y - t^7.204/y + t^7.531/y - t^7.633/y + (2*t^7.735)/y + t^7.837/y + t^8.041/y + t^8.061/y + t^8.163/y + (2*t^8.367)/y + (2*t^8.469)/y + t^8.571/y - t^8.776/y + (4*t^8.796)/y + (2*t^8.898)/y - t^4.367*y - t^6.571*y - t^6.898*y + t^7.102*y - t^7.204*y + t^7.531*y - t^7.633*y + 2*t^7.735*y + t^7.837*y + t^8.041*y + t^8.061*y + t^8.163*y + 2*t^8.367*y + 2*t^8.469*y + t^8.571*y - t^8.776*y + 4*t^8.796*y + 2*t^8.898*y	t^2.204/g1^12 + 2*g1^8*t^2.531 + t^2.837/g1^10 + 2*g1^4*t^3.265 + t^3.367/g1^2 + g1^6*t^3.898 + t^4. + t^4.102/g1^6 + g1^20*t^4.327 + t^4.408/g1^24 + g1^8*t^4.531 + (3*t^4.735)/g1^4 + t^5.041/g1^22 + 3*g1^16*t^5.061 + t^5.367/g1^2 + (2*t^5.469)/g1^8 + t^5.673/g1^20 + 3*g1^12*t^5.796 + 2*g1^6*t^5.898 - 3*t^6. + (2*t^6.102)/g1^6 + t^6.204/g1^12 + t^6.306/g1^18 + g1^14*t^6.429 + 4*g1^8*t^6.531 + t^6.612/g1^36 + g1^2*t^6.633 + 2*g1^28*t^6.857 + (3*t^6.939)/g1^16 + g1^16*t^7.061 + g1^10*t^7.163 + t^7.245/g1^34 + 5*g1^4*t^7.265 + t^7.367/g1^2 + t^7.571/g1^14 + 5*g1^24*t^7.592 + (2*t^7.673)/g1^20 + t^7.878/g1^32 + g1^6*t^7.898 + 3*t^8. + t^8.102/g1^6 - (2*t^8.204)/g1^12 + g1^26*t^8.224 + (2*t^8.306)/g1^18 + 4*g1^20*t^8.327 + 3*g1^14*t^8.429 + (2*t^8.51)/g1^30 - 6*g1^8*t^8.531 + g1^2*t^8.633 + g1^40*t^8.653 + (4*t^8.735)/g1^4 + t^8.816/g1^48 - (2*t^8.837)/g1^10 + g1^28*t^8.857 + g1^22*t^8.959 - t^4.367/(g1^2*y) - t^6.571/(g1^14*y) - (g1^6*t^6.898)/y + t^7.102/(g1^6*y) - t^7.204/(g1^12*y) + (g1^8*t^7.531)/y - (g1^2*t^7.633)/y + (2*t^7.735)/(g1^4*y) + t^7.837/(g1^10*y) + t^8.041/(g1^22*y) + (g1^16*t^8.061)/y + (g1^10*t^8.163)/y + (2*t^8.367)/(g1^2*y) + (2*t^8.469)/(g1^8*y) + t^8.571/(g1^14*y) - t^8.776/(g1^26*y) + (4*g1^12*t^8.796)/y + (2*g1^6*t^8.898)/y - (t^4.367*y)/g1^2 - (t^6.571*y)/g1^14 - g1^6*t^6.898*y + (t^7.102*y)/g1^6 - (t^7.204*y)/g1^12 + g1^8*t^7.531*y - g1^2*t^7.633*y + (2*t^7.735*y)/g1^4 + (t^7.837*y)/g1^10 + (t^8.041*y)/g1^22 + g1^16*t^8.061*y + g1^10*t^8.163*y + (2*t^8.367*y)/g1^2 + (2*t^8.469*y)/g1^8 + (t^8.571*y)/g1^14 - (t^8.776*y)/g1^26 + 4*g1^12*t^8.796*y + 2*g1^6*t^8.898*y

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
58697	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$	0.627	0.7918	0.7919	[M:[1.0909, 1.2727, 1.0303, 0.7273, 0.7273, 0.9091, 1.0303], q:[0.3333, 0.5758], qb:[0.3939, 0.7576], phi:[0.4848]]	2*t^2.182 + t^2.727 + 2*t^3.091 + t^3.273 + 2*t^3.455 + t^3.636 + t^4. + t^4.182 + 4*t^4.364 + 3*t^4.909 + 3*t^5.273 + 2*t^5.455 + 4*t^5.636 + 3*t^5.818 - 2*t^6. - t^4.455/y - t^4.455*y	detail	{a: 13353/21296, c: 8431/10648, M1: 12/11, M2: 14/11, M3: 34/33, M4: 8/11, M5: 8/11, M6: 10/11, M7: 34/33, q1: 1/3, q2: 19/33, qb1: 13/33, qb2: 25/33, phi1: 16/33}

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
55440	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6701	0.8368	0.8008	[M:[0.9349, 1.148, 1.0927, 0.852, 0.852, 0.7219], q:[0.5049, 0.5602], qb:[0.3472, 0.7732], phi:[0.4537]]	t^2.166 + 2*t^2.556 + t^2.722 + t^2.805 + t^3.278 + t^3.361 + t^3.917 + t^4. + t^4.083 + t^4.332 + t^4.39 + t^4.556 + 3*t^4.722 + t^4.888 + t^4.971 + 3*t^5.112 + 2*t^5.278 + t^5.361 + 2*t^5.444 + t^5.527 + t^5.61 + t^5.834 + 2*t^5.917 - 2*t^6. - t^4.361/y - t^4.361*y	detail