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
2904	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6303	0.8194	0.7692	[M:[0.9745, 1.0764, 0.9745, 0.9236, 0.7691, 0.82], q:[0.7436, 0.2818], qb:[0.4363, 0.4873], phi:[0.5127]]	[M:[[4], [-12], [4], [12], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	0	t^2.154 + 2*t^2.307 + t^2.46 + t^2.771 + 2*t^2.924 + t^3.229 + t^3.693 + t^3.846 + t^4.156 + 2*t^4.309 + 3*t^4.462 + 4*t^4.615 + 2*t^4.767 + t^4.92 + t^4.925 + 4*t^5.078 + 5*t^5.231 + 2*t^5.384 + t^5.537 + t^5.542 + t^5.689 + 2*t^5.694 + 2*t^5.847 + 2*t^6.153 + t^6.306 + t^6.311 + t^6.458 + 3*t^6.463 + 5*t^6.616 + 5*t^6.769 + 5*t^6.922 + t^6.927 + 4*t^7.075 + 3*t^7.08 + 2*t^7.228 + 5*t^7.233 + t^7.38 + 6*t^7.385 + 7*t^7.538 + 4*t^7.691 + t^7.696 + 3*t^7.844 + 4*t^7.849 + t^7.997 + 5*t^8.002 + t^8.149 + 2*t^8.154 - 2*t^8.307 + 2*t^8.312 - t^8.46 + 4*t^8.465 + 2*t^8.613 + 5*t^8.618 + 2*t^8.766 + 4*t^8.771 + t^8.919 + t^8.924 - t^4.538/y - t^6.846/y - t^6.998/y + t^7.462/y + (3*t^7.615)/y + (2*t^7.767)/y + t^7.925/y + (5*t^8.078)/y + (6*t^8.231)/y + (3*t^8.384)/y + (2*t^8.537)/y + t^8.689/y + (2*t^8.694)/y + (2*t^8.847)/y - t^4.538*y - t^6.846*y - t^6.998*y + t^7.462*y + 3*t^7.615*y + 2*t^7.767*y + t^7.925*y + 5*t^8.078*y + 6*t^8.231*y + 3*t^8.384*y + 2*t^8.537*y + t^8.689*y + 2*t^8.694*y + 2*t^8.847*y	g1^5*t^2.154 + (2*t^2.307)/g1^3 + t^2.46/g1^11 + g1^12*t^2.771 + 2*g1^4*t^2.924 + t^3.229/g1^12 + g1^3*t^3.693 + t^3.846/g1^5 + g1^18*t^4.156 + 2*g1^10*t^4.309 + 3*g1^2*t^4.462 + (4*t^4.615)/g1^6 + (2*t^4.767)/g1^14 + t^4.92/g1^22 + g1^17*t^4.925 + 4*g1^9*t^5.078 + 5*g1*t^5.231 + (2*t^5.384)/g1^7 + t^5.537/g1^15 + g1^24*t^5.542 + t^5.689/g1^23 + 2*g1^16*t^5.694 + 2*g1^8*t^5.847 + (2*t^6.153)/g1^8 + t^6.306/g1^16 + g1^23*t^6.311 + t^6.458/g1^24 + 3*g1^15*t^6.463 + 5*g1^7*t^6.616 + (5*t^6.769)/g1 + (5*t^6.922)/g1^9 + g1^30*t^6.927 + (4*t^7.075)/g1^17 + 3*g1^22*t^7.08 + (2*t^7.228)/g1^25 + 5*g1^14*t^7.233 + t^7.38/g1^33 + 6*g1^6*t^7.385 + (7*t^7.538)/g1^2 + (4*t^7.691)/g1^10 + g1^29*t^7.696 + (3*t^7.844)/g1^18 + 4*g1^21*t^7.849 + t^7.997/g1^26 + 5*g1^13*t^8.002 + t^8.149/g1^34 + 2*g1^5*t^8.154 - (2*t^8.307)/g1^3 + 2*g1^36*t^8.312 - t^8.46/g1^11 + 4*g1^28*t^8.465 + (2*t^8.613)/g1^19 + 5*g1^20*t^8.618 + (2*t^8.766)/g1^27 + 4*g1^12*t^8.771 + t^8.919/g1^35 + g1^4*t^8.924 - t^4.538/(g1^2*y) - t^6.846/(g1^5*y) - t^6.998/(g1^13*y) + (g1^2*t^7.462)/y + (3*t^7.615)/(g1^6*y) + (2*t^7.767)/(g1^14*y) + (g1^17*t^7.925)/y + (5*g1^9*t^8.078)/y + (6*g1*t^8.231)/y + (3*t^8.384)/(g1^7*y) + (2*t^8.537)/(g1^15*y) + t^8.689/(g1^23*y) + (2*g1^16*t^8.694)/y + (2*g1^8*t^8.847)/y - (t^4.538*y)/g1^2 - (t^6.846*y)/g1^5 - (t^6.998*y)/g1^13 + g1^2*t^7.462*y + (3*t^7.615*y)/g1^6 + (2*t^7.767*y)/g1^14 + g1^17*t^7.925*y + 5*g1^9*t^8.078*y + 6*g1*t^8.231*y + (3*t^8.384*y)/g1^7 + (2*t^8.537*y)/g1^15 + (t^8.689*y)/g1^23 + 2*g1^16*t^8.694*y + 2*g1^8*t^8.847*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
3492	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6271	0.8173	0.7673	[M:[0.9565, 1.1304, 0.9565, 0.8696, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^2.87 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 5*t^4.696 + 6*t^4.957 + 7*t^5.217 + 4*t^5.478 + 3*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 61041/97336, c: 19889/24334, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}
3493	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6485	0.852	0.7612	[M:[0.9764, 1.0708, 0.9764, 0.9292, 0.7677, 0.8149, 0.7677], q:[0.7441, 0.2795], qb:[0.441, 0.4882], phi:[0.5118]]	t^2.161 + 3*t^2.303 + t^2.445 + t^2.788 + 2*t^2.929 + t^3.212 + t^3.839 + t^4.181 + 2*t^4.323 + 4*t^4.465 + 7*t^4.606 + 3*t^4.748 + t^4.889 + t^4.949 + 5*t^5.091 + 7*t^5.232 + 2*t^5.374 + 2*t^5.516 + t^5.575 + t^5.657 + 2*t^5.717 + t^5.858 - 2*t^6. - t^4.535/y - t^4.535*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
1885	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.616	0.7963	0.7736	[M:[0.964, 1.108, 0.964, 0.892, 0.777], q:[0.741, 0.295], qb:[0.41, 0.482], phi:[0.518]]	t^2.115 + 2*t^2.331 + t^2.676 + 2*t^2.892 + t^3.324 + t^3.453 + t^3.669 + t^3.885 + t^4.014 + 2*t^4.23 + 3*t^4.446 + 3*t^4.662 + t^4.791 + 4*t^5.007 + 4*t^5.223 + t^5.352 + 3*t^5.568 + t^5.655 + 4*t^5.784 - t^4.554/y - t^4.554*y	detail