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
46978	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$	0.7536	0.9338	0.807	[M:[0.693, 0.8465, 1.0, 0.8465, 0.8465, 0.8465, 1.1535], q:[0.6535, 0.6535], qb:[0.5, 0.5], phi:[0.4233]]	[M:[[-4, -4, 0], [-4, 0, 1], [0, 0, 0], [0, -4, -1], [-4, 0, -1], [0, -4, 1], [2, 2, 0]], q:[[4, 0, 0], [0, 4, 0]], qb:[[0, 0, -1], [0, 0, 1]], phi:[[-1, -1, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$	${}M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$	-3	t^2.079 + 4*t^2.54 + t^3. + t^3.46 + t^4.158 + 3*t^4.27 + 4*t^4.619 + 4*t^4.73 + 11*t^5.079 + 3*t^5.191 + t^5.54 - 3*t^6. + t^6.237 + 3*t^6.349 - 3*t^6.46 + 4*t^6.698 + 12*t^6.809 + 11*t^7.158 + 15*t^7.27 + 21*t^7.619 + 8*t^7.73 - 6*t^8.079 - 4*t^8.191 + t^8.316 + 3*t^8.428 - 16*t^8.54 - 4*t^8.651 + 4*t^8.777 + 12*t^8.888 - t^4.27/y - t^6.349/y - (4*t^6.809)/y + (4*t^7.619)/y + (4*t^7.73)/y + (7*t^8.079)/y + t^8.191/y - t^8.428/y + (5*t^8.54)/y - (4*t^8.888)/y - t^4.27*y - t^6.349*y - 4*t^6.809*y + 4*t^7.619*y + 4*t^7.73*y + 7*t^8.079*y + t^8.191*y - t^8.428*y + 5*t^8.54*y - 4*t^8.888*y	t^2.079/(g1^4*g2^4) + t^2.54/(g1^4*g3) + t^2.54/(g2^4*g3) + (g3*t^2.54)/g1^4 + (g3*t^2.54)/g2^4 + t^3. + g1^2*g2^2*t^3.46 + t^4.158/(g1^8*g2^8) + t^4.27/(g1*g2) + t^4.27/(g1*g2*g3^2) + (g3^2*t^4.27)/(g1*g2) + t^4.619/(g1^4*g2^8*g3) + t^4.619/(g1^8*g2^4*g3) + (g3*t^4.619)/(g1^4*g2^8) + (g3*t^4.619)/(g1^8*g2^4) + (g1^3*t^4.73)/(g2*g3) + (g2^3*t^4.73)/(g1*g3) + (g1^3*g3*t^4.73)/g2 + (g2^3*g3*t^4.73)/g1 + t^5.079/g1^8 + t^5.079/g2^8 + (3*t^5.079)/(g1^4*g2^4) + t^5.079/(g1^8*g3^2) + t^5.079/(g2^8*g3^2) + t^5.079/(g1^4*g2^4*g3^2) + (g3^2*t^5.079)/g1^8 + (g3^2*t^5.079)/g2^8 + (g3^2*t^5.079)/(g1^4*g2^4) + (g1^7*t^5.191)/g2 + g1^3*g2^3*t^5.191 + (g2^7*t^5.191)/g1 + t^5.54/(g1^2*g2^2) - 3*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - t^6./g3^2 + (g1^2*t^6.)/(g2^2*g3) + (g2^2*t^6.)/(g1^2*g3) + (g1^2*g3*t^6.)/g2^2 + (g2^2*g3*t^6.)/g1^2 - g3^2*t^6. + t^6.237/(g1^12*g2^12) + t^6.349/(g1^5*g2^5) + t^6.349/(g1^5*g2^5*g3^2) + (g3^2*t^6.349)/(g1^5*g2^5) + g1^2*g2^2*t^6.46 - (g1^4*t^6.46)/g3 - (g2^4*t^6.46)/g3 - g1^4*g3*t^6.46 - g2^4*g3*t^6.46 + t^6.698/(g1^8*g2^12*g3) + t^6.698/(g1^12*g2^8*g3) + (g3*t^6.698)/(g1^8*g2^12) + (g3*t^6.698)/(g1^12*g2^8) + t^6.809/(g1*g2^5*g3^3) + t^6.809/(g1^5*g2*g3^3) + (2*t^6.809)/(g1*g2^5*g3) + (2*t^6.809)/(g1^5*g2*g3) + (2*g3*t^6.809)/(g1*g2^5) + (2*g3*t^6.809)/(g1^5*g2) + (g3^3*t^6.809)/(g1*g2^5) + (g3^3*t^6.809)/(g1^5*g2) + t^7.158/(g1^4*g2^12) + (3*t^7.158)/(g1^8*g2^8) + t^7.158/(g1^12*g2^4) + t^7.158/(g1^4*g2^12*g3^2) + t^7.158/(g1^8*g2^8*g3^2) + t^7.158/(g1^12*g2^4*g3^2) + (g3^2*t^7.158)/(g1^4*g2^12) + (g3^2*t^7.158)/(g1^8*g2^8) + (g3^2*t^7.158)/(g1^12*g2^4) + (2*g1^3*t^7.27)/g2^5 + (3*t^7.27)/(g1*g2) + (2*g2^3*t^7.27)/g1^5 + (g1^3*t^7.27)/(g2^5*g3^2) + (2*t^7.27)/(g1*g2*g3^2) + (g2^3*t^7.27)/(g1^5*g3^2) + (g1^3*g3^2*t^7.27)/g2^5 + (2*g3^2*t^7.27)/(g1*g2) + (g2^3*g3^2*t^7.27)/g1^5 + t^7.619/(g1^6*g2^6) + t^7.619/(g1^12*g3^3) + t^7.619/(g2^12*g3^3) + t^7.619/(g1^4*g2^8*g3^3) + t^7.619/(g1^8*g2^4*g3^3) + t^7.619/(g1^12*g3) + t^7.619/(g2^12*g3) + (2*t^7.619)/(g1^4*g2^8*g3) + (2*t^7.619)/(g1^8*g2^4*g3) + (g3*t^7.619)/g1^12 + (g3*t^7.619)/g2^12 + (2*g3*t^7.619)/(g1^4*g2^8) + (2*g3*t^7.619)/(g1^8*g2^4) + (g3^3*t^7.619)/g1^12 + (g3^3*t^7.619)/g2^12 + (g3^3*t^7.619)/(g1^4*g2^8) + (g3^3*t^7.619)/(g1^8*g2^4) + (g1^7*t^7.73)/(g2^5*g3) + (g1^3*t^7.73)/(g2*g3) + (g2^3*t^7.73)/(g1*g3) + (g2^7*t^7.73)/(g1^5*g3) + (g1^7*g3*t^7.73)/g2^5 + (g1^3*g3*t^7.73)/g2 + (g2^3*g3*t^7.73)/g1 + (g2^7*g3*t^7.73)/g1^5 - t^8.079/g1^8 - t^8.079/g2^8 - (4*t^8.079)/(g1^4*g2^4) - (2*t^8.079)/(g1^4*g2^4*g3^2) + t^8.079/(g1^2*g2^6*g3) + t^8.079/(g1^6*g2^2*g3) + (g3*t^8.079)/(g1^2*g2^6) + (g3*t^8.079)/(g1^6*g2^2) - (2*g3^2*t^8.079)/(g1^4*g2^4) - 2*g1^3*g2^3*t^8.191 - (g1^3*g2^3*t^8.191)/g3^2 - g1^3*g2^3*g3^2*t^8.191 + t^8.316/(g1^16*g2^16) + t^8.428/(g1^9*g2^9) + t^8.428/(g1^9*g2^9*g3^2) + (g3^2*t^8.428)/(g1^9*g2^9) + (g1^2*t^8.54)/g2^6 + (4*t^8.54)/(g1^2*g2^2) + (g2^2*t^8.54)/g1^6 + t^8.54/(g1^2*g2^2*g3^4) - t^8.54/(g1^4*g3^3) - t^8.54/(g2^4*g3^3) + (g1^2*t^8.54)/(g2^6*g3^2) + (2*t^8.54)/(g1^2*g2^2*g3^2) + (g2^2*t^8.54)/(g1^6*g3^2) - (6*t^8.54)/(g1^4*g3) - (g1^4*t^8.54)/(g2^8*g3) - (6*t^8.54)/(g2^4*g3) - (g2^4*t^8.54)/(g1^8*g3) - (6*g3*t^8.54)/g1^4 - (g1^4*g3*t^8.54)/g2^8 - (6*g3*t^8.54)/g2^4 - (g2^4*g3*t^8.54)/g1^8 + (g1^2*g3^2*t^8.54)/g2^6 + (2*g3^2*t^8.54)/(g1^2*g2^2) + (g2^2*g3^2*t^8.54)/g1^6 - (g3^3*t^8.54)/g1^4 - (g3^3*t^8.54)/g2^4 + (g3^4*t^8.54)/(g1^2*g2^2) - (g1^7*g2^3*t^8.651)/g3 - (g1^3*g2^7*t^8.651)/g3 - g1^7*g2^3*g3*t^8.651 - g1^3*g2^7*g3*t^8.651 + t^8.777/(g1^12*g2^16*g3) + t^8.777/(g1^16*g2^12*g3) + (g3*t^8.777)/(g1^12*g2^16) + (g3*t^8.777)/(g1^16*g2^12) + t^8.888/(g1^5*g2^9*g3^3) + t^8.888/(g1^9*g2^5*g3^3) + (2*t^8.888)/(g1^5*g2^9*g3) + (2*t^8.888)/(g1^9*g2^5*g3) + (2*g3*t^8.888)/(g1^5*g2^9) + (2*g3*t^8.888)/(g1^9*g2^5) + (g3^3*t^8.888)/(g1^5*g2^9) + (g3^3*t^8.888)/(g1^9*g2^5) - t^4.27/(g1*g2*y) - t^6.349/(g1^5*g2^5*y) - t^6.809/(g1*g2^5*g3*y) - t^6.809/(g1^5*g2*g3*y) - (g3*t^6.809)/(g1*g2^5*y) - (g3*t^6.809)/(g1^5*g2*y) + t^7.619/(g1^4*g2^8*g3*y) + t^7.619/(g1^8*g2^4*g3*y) + (g3*t^7.619)/(g1^4*g2^8*y) + (g3*t^7.619)/(g1^8*g2^4*y) + (g1^3*t^7.73)/(g2*g3*y) + (g2^3*t^7.73)/(g1*g3*y) + (g1^3*g3*t^7.73)/(g2*y) + (g2^3*g3*t^7.73)/(g1*y) + t^8.079/(g1^8*y) + t^8.079/(g2^8*y) + (3*t^8.079)/(g1^4*g2^4*y) + t^8.079/(g1^4*g2^4*g3^2*y) + (g3^2*t^8.079)/(g1^4*g2^4*y) + (g1^3*g2^3*t^8.191)/y - t^8.428/(g1^9*g2^9*y) + t^8.54/(g1^2*g2^2*y) + t^8.54/(g1^4*g3*y) + t^8.54/(g2^4*g3*y) + (g3*t^8.54)/(g1^4*y) + (g3*t^8.54)/(g2^4*y) - t^8.888/(g1^5*g2^9*g3*y) - t^8.888/(g1^9*g2^5*g3*y) - (g3*t^8.888)/(g1^5*g2^9*y) - (g3*t^8.888)/(g1^9*g2^5*y) - (t^4.27*y)/(g1*g2) - (t^6.349*y)/(g1^5*g2^5) - (t^6.809*y)/(g1*g2^5*g3) - (t^6.809*y)/(g1^5*g2*g3) - (g3*t^6.809*y)/(g1*g2^5) - (g3*t^6.809*y)/(g1^5*g2) + (t^7.619*y)/(g1^4*g2^8*g3) + (t^7.619*y)/(g1^8*g2^4*g3) + (g3*t^7.619*y)/(g1^4*g2^8) + (g3*t^7.619*y)/(g1^8*g2^4) + (g1^3*t^7.73*y)/(g2*g3) + (g2^3*t^7.73*y)/(g1*g3) + (g1^3*g3*t^7.73*y)/g2 + (g2^3*g3*t^7.73*y)/g1 + (t^8.079*y)/g1^8 + (t^8.079*y)/g2^8 + (3*t^8.079*y)/(g1^4*g2^4) + (t^8.079*y)/(g1^4*g2^4*g3^2) + (g3^2*t^8.079*y)/(g1^4*g2^4) + g1^3*g2^3*t^8.191*y - (t^8.428*y)/(g1^9*g2^9) + (t^8.54*y)/(g1^2*g2^2) + (t^8.54*y)/(g1^4*g3) + (t^8.54*y)/(g2^4*g3) + (g3*t^8.54*y)/g1^4 + (g3*t^8.54*y)/g2^4 - (t^8.888*y)/(g1^5*g2^9*g3) - (t^8.888*y)/(g1^9*g2^5*g3) - (g3*t^8.888*y)/(g1^5*g2^9) - (g3*t^8.888*y)/(g1^9*g2^5)

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
50988	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$	0.706	0.8681	0.8132	[M:[0.9248, 0.8495, 1.0, 1.0752, 0.9583, 0.9665, 1.0376], q:[0.5961, 0.4791], qb:[0.5544, 0.4456], phi:[0.4812]]	t^2.549 + t^2.774 + t^2.875 + t^2.899 + t^3. + t^3.113 + t^3.226 + t^4.117 + t^4.218 + t^4.318 + t^4.444 + t^4.544 + t^4.569 + t^4.669 + t^4.77 + t^4.895 + t^5.02 + t^5.097 + t^5.323 + t^5.423 + t^5.448 + t^5.549 + t^5.661 + t^5.75 + 2*t^5.774 + t^5.799 + t^5.887 + t^5.988 - 2*t^6. - t^4.444/y - t^4.444*y	detail
53101	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{5}$	0.7287	0.8998	0.8098	[M:[0.809, 1.0, 1.0, 0.809, 1.0, 0.809, 1.0955], q:[0.5, 0.691], qb:[0.5, 0.5], phi:[0.4523]]	3*t^2.427 + 3*t^3. + t^3.286 + 6*t^4.357 + 6*t^4.854 + 3*t^4.93 + 6*t^5.427 + t^5.503 + 3*t^5.714 - 4*t^6. - t^4.357/y - t^4.357*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
46622	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$	0.7904	0.9838	0.8034	[M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619, 0.7619, 1.2381], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]]	6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. - t^4.143/y - t^4.143*y	detail	{a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 26/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21}