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
3059	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6658	0.8856	0.7518	[M:[1.0, 1.0355, 0.929, 1.0355, 0.7411, 0.7411, 0.7056, 0.7056], q:[0.7589, 0.2411], qb:[0.5355, 0.5355], phi:[0.4823]]	[M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [3, -5], [-9, -1], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{5}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$	${}$	-5	2*t^2.117 + 2*t^2.223 + 2*t^2.33 + t^2.787 + t^3. + 2*t^3.106 + 3*t^4.234 + 4*t^4.34 + 7*t^4.447 + 4*t^4.553 + 6*t^4.66 + 2*t^4.904 + 2*t^5.01 + 2*t^5.117 + 6*t^5.223 + 6*t^5.33 + 4*t^5.436 + t^5.574 + t^5.787 + t^5.894 - 5*t^6. + t^6.106 + 2*t^6.213 + 4*t^6.351 + 6*t^6.457 + 10*t^6.564 + 10*t^6.67 + 14*t^6.777 + 8*t^6.883 + 8*t^6.99 + 3*t^7.021 + 4*t^7.127 + 6*t^7.234 + 10*t^7.34 + 13*t^7.447 + 13*t^7.553 + 10*t^7.66 + 2*t^7.691 + 9*t^7.766 + 2*t^7.798 + 2*t^7.904 + 4*t^8.01 - 8*t^8.117 - 10*t^8.223 - 6*t^8.33 + t^8.361 + 2*t^8.436 + 5*t^8.468 + 2*t^8.543 + 9*t^8.574 + 14*t^8.681 + 10*t^8.787 + 23*t^8.894 - t^4.447/y - (2*t^6.564)/y - (2*t^6.67)/y + (5*t^7.34)/y + (5*t^7.447)/y + (3*t^7.553)/y + (2*t^7.66)/y + (2*t^7.904)/y + (2*t^8.01)/y + (4*t^8.117)/y + (8*t^8.223)/y + (8*t^8.33)/y + (4*t^8.436)/y - (3*t^8.681)/y - (3*t^8.787)/y - t^8.894/y - t^4.447*y - 2*t^6.564*y - 2*t^6.67*y + 5*t^7.34*y + 5*t^7.447*y + 3*t^7.553*y + 2*t^7.66*y + 2*t^7.904*y + 2*t^8.01*y + 4*t^8.117*y + 8*t^8.223*y + 8*t^8.33*y + 4*t^8.436*y - 3*t^8.681*y - 3*t^8.787*y - t^8.894*y	t^2.117/(g1*g2^9) + t^2.117/(g1^9*g2) + (g1^3*t^2.223)/g2^5 + (g2^3*t^2.223)/g1^5 + (g1^7*t^2.33)/g2 + (g2^7*t^2.33)/g1 + t^2.787/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.106 + t^4.234/(g1^2*g2^18) + t^4.234/(g1^10*g2^10) + t^4.234/(g1^18*g2^2) + (g1^2*t^4.34)/g2^14 + (2*t^4.34)/(g1^6*g2^6) + (g2^2*t^4.34)/g1^14 + (2*g1^6*t^4.447)/g2^10 + (3*t^4.447)/(g1^2*g2^2) + (2*g2^6*t^4.447)/g1^10 + (g1^10*t^4.553)/g2^6 + 2*g1^2*g2^2*t^4.553 + (g2^10*t^4.553)/g1^6 + (2*g1^14*t^4.66)/g2^2 + 2*g1^6*g2^6*t^4.66 + (2*g2^14*t^4.66)/g1^2 + t^4.904/(g1^9*g2^17) + t^4.904/(g1^17*g2^9) + t^5.01/(g1^5*g2^13) + t^5.01/(g1^13*g2^5) + t^5.117/(g1*g2^9) + t^5.117/(g1^9*g2) + (3*g1^3*t^5.223)/g2^5 + (3*g2^3*t^5.223)/g1^5 + (3*g1^7*t^5.33)/g2 + (3*g2^7*t^5.33)/g1 + 2*g1^11*g2^3*t^5.436 + 2*g1^3*g2^11*t^5.436 + t^5.574/(g1^16*g2^16) + t^5.787/(g1^8*g2^8) + t^5.894/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + g1^4*g2^4*t^6.106 + 2*g1^8*g2^8*t^6.213 + t^6.351/(g1^3*g2^27) + t^6.351/(g1^11*g2^19) + t^6.351/(g1^19*g2^11) + t^6.351/(g1^27*g2^3) + (g1*t^6.457)/g2^23 + (2*t^6.457)/(g1^7*g2^15) + (2*t^6.457)/(g1^15*g2^7) + (g2*t^6.457)/g1^23 + (2*g1^5*t^6.564)/g2^19 + (3*t^6.564)/(g1^3*g2^11) + (3*t^6.564)/(g1^11*g2^3) + (2*g2^5*t^6.564)/g1^19 + (2*g1^9*t^6.67)/g2^15 + (3*g1*t^6.67)/g2^7 + (3*g2*t^6.67)/g1^7 + (2*g2^9*t^6.67)/g1^15 + (3*g1^13*t^6.777)/g2^11 + (4*g1^5*t^6.777)/g2^3 + (4*g2^5*t^6.777)/g1^3 + (3*g2^13*t^6.777)/g1^11 + (2*g1^17*t^6.883)/g2^7 + 2*g1^9*g2*t^6.883 + 2*g1*g2^9*t^6.883 + (2*g2^17*t^6.883)/g1^7 + (2*g1^21*t^6.99)/g2^3 + 2*g1^13*g2^5*t^6.99 + 2*g1^5*g2^13*t^6.99 + (2*g2^21*t^6.99)/g1^3 + t^7.021/(g1^10*g2^26) + t^7.021/(g1^18*g2^18) + t^7.021/(g1^26*g2^10) + t^7.127/(g1^6*g2^22) + (2*t^7.127)/(g1^14*g2^14) + t^7.127/(g1^22*g2^6) + (2*t^7.234)/(g1^2*g2^18) + (2*t^7.234)/(g1^10*g2^10) + (2*t^7.234)/(g1^18*g2^2) + (3*g1^2*t^7.34)/g2^14 + (4*t^7.34)/(g1^6*g2^6) + (3*g2^2*t^7.34)/g1^14 + (4*g1^6*t^7.447)/g2^10 + (5*t^7.447)/(g1^2*g2^2) + (4*g2^6*t^7.447)/g1^10 + (4*g1^10*t^7.553)/g2^6 + 5*g1^2*g2^2*t^7.553 + (4*g2^10*t^7.553)/g1^6 + (3*g1^14*t^7.66)/g2^2 + 4*g1^6*g2^6*t^7.66 + (3*g2^14*t^7.66)/g1^2 + t^7.691/(g1^17*g2^25) + t^7.691/(g1^25*g2^17) + 3*g1^18*g2^2*t^7.766 + 3*g1^10*g2^10*t^7.766 + 3*g1^2*g2^18*t^7.766 + t^7.798/(g1^13*g2^21) + t^7.798/(g1^21*g2^13) + t^7.904/(g1^9*g2^17) + t^7.904/(g1^17*g2^9) + (2*t^8.01)/(g1^5*g2^13) + (2*t^8.01)/(g1^13*g2^5) - (g1^7*t^8.117)/g2^17 - (3*t^8.117)/(g1*g2^9) - (3*t^8.117)/(g1^9*g2) - (g2^7*t^8.117)/g1^17 - (g1^11*t^8.223)/g2^13 - (4*g1^3*t^8.223)/g2^5 - (4*g2^3*t^8.223)/g1^5 - (g2^11*t^8.223)/g1^13 - (g1^15*t^8.33)/g2^9 - (2*g1^7*t^8.33)/g2 - (2*g2^7*t^8.33)/g1 - (g2^15*t^8.33)/g1^9 + t^8.361/(g1^24*g2^24) + g1^11*g2^3*t^8.436 + g1^3*g2^11*t^8.436 + t^8.468/(g1^4*g2^36) + t^8.468/(g1^12*g2^28) + t^8.468/(g1^20*g2^20) + t^8.468/(g1^28*g2^12) + t^8.468/(g1^36*g2^4) + g1^15*g2^7*t^8.543 + g1^7*g2^15*t^8.543 + t^8.574/g1^32 + t^8.574/g2^32 + (2*t^8.574)/(g1^8*g2^24) + (3*t^8.574)/(g1^16*g2^16) + (2*t^8.574)/(g1^24*g2^8) + (2*g1^4*t^8.681)/g2^28 + (3*t^8.681)/(g1^4*g2^20) + (4*t^8.681)/(g1^12*g2^12) + (3*t^8.681)/(g1^20*g2^4) + (2*g2^4*t^8.681)/g1^28 + (3*t^8.787)/g1^16 + (2*g1^8*t^8.787)/g2^24 + (3*t^8.787)/g2^16 + (2*g2^8*t^8.787)/g1^24 + (4*g1^12*t^8.894)/g2^20 + (5*g1^4*t^8.894)/g2^12 + (5*t^8.894)/(g1^4*g2^4) + (5*g2^4*t^8.894)/g1^12 + (4*g2^12*t^8.894)/g1^20 - t^4.447/(g1^2*g2^2*y) - t^6.564/(g1^3*g2^11*y) - t^6.564/(g1^11*g2^3*y) - (g1*t^6.67)/(g2^7*y) - (g2*t^6.67)/(g1^7*y) + (g1^2*t^7.34)/(g2^14*y) + (3*t^7.34)/(g1^6*g2^6*y) + (g2^2*t^7.34)/(g1^14*y) + (g1^6*t^7.447)/(g2^10*y) + (3*t^7.447)/(g1^2*g2^2*y) + (g2^6*t^7.447)/(g1^10*y) + (g1^10*t^7.553)/(g2^6*y) + (g1^2*g2^2*t^7.553)/y + (g2^10*t^7.553)/(g1^6*y) + (2*g1^6*g2^6*t^7.66)/y + t^7.904/(g1^9*g2^17*y) + t^7.904/(g1^17*g2^9*y) + t^8.01/(g1^5*g2^13*y) + t^8.01/(g1^13*g2^5*y) + (2*t^8.117)/(g1*g2^9*y) + (2*t^8.117)/(g1^9*g2*y) + (4*g1^3*t^8.223)/(g2^5*y) + (4*g2^3*t^8.223)/(g1^5*y) + (4*g1^7*t^8.33)/(g2*y) + (4*g2^7*t^8.33)/(g1*y) + (2*g1^11*g2^3*t^8.436)/y + (2*g1^3*g2^11*t^8.436)/y - t^8.681/(g1^4*g2^20*y) - t^8.681/(g1^12*g2^12*y) - t^8.681/(g1^20*g2^4*y) - t^8.787/(g1^16*y) - t^8.787/(g2^16*y) - t^8.787/(g1^8*g2^8*y) - (g1^4*t^8.894)/(g2^12*y) + t^8.894/(g1^4*g2^4*y) - (g2^4*t^8.894)/(g1^12*y) - (t^4.447*y)/(g1^2*g2^2) - (t^6.564*y)/(g1^3*g2^11) - (t^6.564*y)/(g1^11*g2^3) - (g1*t^6.67*y)/g2^7 - (g2*t^6.67*y)/g1^7 + (g1^2*t^7.34*y)/g2^14 + (3*t^7.34*y)/(g1^6*g2^6) + (g2^2*t^7.34*y)/g1^14 + (g1^6*t^7.447*y)/g2^10 + (3*t^7.447*y)/(g1^2*g2^2) + (g2^6*t^7.447*y)/g1^10 + (g1^10*t^7.553*y)/g2^6 + g1^2*g2^2*t^7.553*y + (g2^10*t^7.553*y)/g1^6 + 2*g1^6*g2^6*t^7.66*y + (t^7.904*y)/(g1^9*g2^17) + (t^7.904*y)/(g1^17*g2^9) + (t^8.01*y)/(g1^5*g2^13) + (t^8.01*y)/(g1^13*g2^5) + (2*t^8.117*y)/(g1*g2^9) + (2*t^8.117*y)/(g1^9*g2) + (4*g1^3*t^8.223*y)/g2^5 + (4*g2^3*t^8.223*y)/g1^5 + (4*g1^7*t^8.33*y)/g2 + (4*g2^7*t^8.33*y)/g1 + 2*g1^11*g2^3*t^8.436*y + 2*g1^3*g2^11*t^8.436*y - (t^8.681*y)/(g1^4*g2^20) - (t^8.681*y)/(g1^12*g2^12) - (t^8.681*y)/(g1^20*g2^4) - (t^8.787*y)/g1^16 - (t^8.787*y)/g2^16 - (t^8.787*y)/(g1^8*g2^8) - (g1^4*t^8.894*y)/g2^12 + (t^8.894*y)/(g1^4*g2^4) - (g2^4*t^8.894*y)/g1^12

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

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
2012	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6455	0.8475	0.7616	[M:[1.0, 1.0299, 0.9402, 1.0299, 0.7372, 0.7478, 0.7073], q:[0.7575, 0.2425], qb:[0.5352, 0.5246], phi:[0.4851]]	t^2.122 + t^2.212 + t^2.244 + t^2.301 + t^2.333 + t^2.821 + t^3. + 2*t^3.09 + t^3.846 + t^4.244 + t^4.334 + t^4.366 + 2*t^4.423 + 2*t^4.455 + t^4.487 + t^4.513 + 2*t^4.545 + t^4.577 + 2*t^4.603 + 2*t^4.634 + 2*t^4.666 + t^4.943 + t^5.032 + t^5.064 + t^5.122 + 3*t^5.212 + t^5.244 + 3*t^5.301 + 3*t^5.333 + 2*t^5.391 + 2*t^5.423 + t^5.641 + t^5.821 + t^5.91 - 3*t^6. - t^4.455/y - t^4.455*y	detail